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Paper Citation Record · LEDGER

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity

As of 21 August 2026, this Paper Citation Record lists 99 of 99 outbound references and 1 inbound Pith citation observation for arXiv:2602.04949.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2602.04949 v5

Coverage vector

measured 99 of 99 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:36:23.661380Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T08:20:09.796633Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-15T08:20:17.523012Z

Reference resolution

99 of 99 outbound references displayed

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Outbound references

Observation 0800d454-8912-4f2a-9bdf-2f6a4d9a27d9 · outbound

This paper cites Quantum Computational Complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Computational Complexity

Reference 1

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source=pdf_text observed=2026-08-03T04:36:15.701516Z digest=sha256:7e92e4a0b1647af1d0dd7594aa34eb7b905ef44c23f193ca6e052cc0d20bbd69

Observation 163ca1b5-cd7d-4936-9842-571fdceaee43 · outbound

This paper cites A geometric approach to quantum circuit lower bounds.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity A geometric approach to quantum circuit lower bounds

Reference 2

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source=pdf_text observed=2026-08-03T04:36:15.753771Z digest=sha256:6f27ff6d3f4adb7fb6b27c970d66f2eb0e5cac917d098122eca256e9fdbd7be2

Observation 270691e5-04f3-44eb-bce4-3925cf031e7d · outbound

This paper cites Quantum Computation as Geometry.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Computation as Geometry

Reference 3

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source=pdf_text observed=2026-08-03T04:36:15.860709Z digest=sha256:ec500a0635f9bb0a69fa753a0128ddfa4dfbcb4cb2ea3d5a495060659f3609c9

Observation c482ee98-5b7e-4633-893a-a1ceedb1ed93 · outbound

This paper cites The geometry of quantum computation.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity The geometry of quantum computation

Reference 4

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source=pdf_text observed=2026-08-03T04:36:15.948239Z digest=sha256:96b1cfb2cc7956d290a02361e6f6af6bc71ea959b07df7c873cc07390d8627d4

Observation 038af134-3329-4861-a1ec-407854f107ee · outbound

This paper cites Entanglement is not Enough.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Entanglement is not Enough

Reference 5

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source=pdf_text observed=2026-08-03T04:36:16.060135Z digest=sha256:695052ed2dc5ab381512105bba520a369a4f9ef828d0830e68391cc7de63b80e

Observation 7ef9a0eb-fa11-4ac6-a130-8b110602e31e · outbound

This paper cites Switchbacks and the Bridge to Nowhere.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Switchbacks and the Bridge to Nowhere

Reference 6

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source=pdf_text observed=2026-08-03T04:36:16.172866Z digest=sha256:8743cb147c65932d9a81f1e4b59081a42fb47c9952caa87bf330c69569d3d0de

Observation 25730459-6a4d-4917-913c-1b0e74db5f04 · outbound

This paper cites Quantum Complexity and Negative Curvature.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Complexity and Negative Curvature

Reference 7

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source=pdf_text observed=2026-08-03T04:36:16.259392Z digest=sha256:a687891f246784a1b08e8f06b32deec6c6816596f06da9638360d8e531d76dd8

Observation 795ebaea-24c6-4350-ae88-f829066ffd37 · outbound

This paper cites Complexity Equals Action.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Complexity Equals Action

Reference 8

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source=pdf_text observed=2026-08-03T04:36:16.352722Z digest=sha256:d8dc89692d17540aefff8930058cbfa8a5abb9d2d7ec4d022d98ff38d5921a71

Observation a5f4a663-1417-424a-a002-1bd9e2115623 · outbound

This paper cites Complexity, action, and black holes.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Complexity, action, and black holes

Reference 9

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source=pdf_text observed=2026-08-03T04:36:16.433485Z digest=sha256:102bd140f64f0c0e26886a9a83e5e0bf176f0f3bcc674f68c87a79b657e6940d

Observation 08bd3336-df0d-48f5-8cfc-3bc318f04ede · outbound

This paper cites Three Lectures on Complexity and Black Holes.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Three Lectures on Complexity and Black Holes

Reference 10

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source=pdf_text observed=2026-08-03T04:36:16.537087Z digest=sha256:a34fa274e2223669898e4755ef8871c08ab124eca329a29235e70102765b52b7

Observation a11113c1-b2e1-4a38-aa16-4c0f815001f2 · outbound

This paper cites Complexity of Formation in Holography.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Complexity of Formation in Holography

Reference 11

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source=pdf_text observed=2026-08-03T04:36:16.619866Z digest=sha256:2e1771295d34b08e089371ed622a87303c73d71187caf4cc99732f684f1374ba

Observation 7de5a997-9f0e-4839-ad0a-3fcc746f5f3b · outbound

This paper cites Towards Complexity for Quantum Field Theory States.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Towards Complexity for Quantum Field Theory States

Reference 12

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source=pdf_text observed=2026-08-03T04:36:16.732079Z digest=sha256:e3a2cba52947a780f72efa69892d5f7e27c93a46c4b7001818826bd35843d050

Observation d0c5e7b7-c652-4c27-8411-4f2fc541f10c · outbound

This paper cites Circuit complexity in quantum field theory.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Circuit complexity in quantum field theory

Reference 13

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source=pdf_text observed=2026-08-03T04:36:16.811353Z digest=sha256:370e1559f7835847b4794880d0e69b69bf0f8ee2566ce555c07c134f6e69e719

Observation 56058bf7-4c85-44b6-b397-223fdfe782f7 · outbound

This paper cites Complexity and entanglement for thermofield double states.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Complexity and entanglement for thermofield double states

Reference 14

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source=pdf_text observed=2026-08-03T04:36:16.885681Z digest=sha256:396e0719426e6fe20e05eefc5dd05019940cd18c05728b9efc304391a9026b7a

Observation 4f8636c7-78f5-4c3b-8c75-db599626ca43 · outbound

This paper cites Quantum Computational Complexity -- From Quantum Information to Black Holes and Back.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Computational Complexity -- From Quantum Information to Black Holes and Back

Reference 15

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source=pdf_text observed=2026-08-03T04:36:16.989591Z digest=sha256:fb20c12e022e7581f5b7e0896e990982f84336efc0266ef574884bbf3b433c29

Observation f8c395d9-5433-43db-87ff-cef0c02dbb5a · outbound

This paper cites A Universal Operator Growth Hypothesis.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity A Universal Operator Growth Hypothesis

Reference 16

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source=pdf_text observed=2026-08-03T04:36:17.074524Z digest=sha256:1825c85e2c013db3a8f1709fdf2e3292ed1ab9311bebb8a5da71eeb25d5496dd

Observation 3b42a0c5-19cb-448b-bcd6-5c38f5b2aee2 · outbound

This paper cites Quantum chaos and the complexity of spread of states.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum chaos and the complexity of spread of states

Reference 17

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source=pdf_text observed=2026-08-03T04:36:17.148077Z digest=sha256:b52d55e5a93b8c0fd2193b0f0e82a3947cb7716345bfac838e6ce8215fee7451

Observation 039633d3-6bce-428e-86e9-3bde8337d312 · outbound

This paper cites A bulk manifestation of Krylov complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity A bulk manifestation of Krylov complexity

Reference 18

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source=pdf_text observed=2026-08-03T04:36:17.258923Z digest=sha256:b62f9d5c40c5123329d5ef70d7d33823bd087520ca1cb2f2ec70fdb41bc20b08

Observation 9e1e1f3d-b3b8-4b1c-abf1-89d4562ee985 · outbound

This paper cites Spread Complexity Rate as Proper Momentum.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Spread Complexity Rate as Proper Momentum

Reference 19

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source=pdf_text observed=2026-08-03T04:36:17.351826Z digest=sha256:81d1fc3bf1019277e1645546984675a2145f7e82ca6afb4f3aa15d1ece03f723

Observation 39f855a3-11f5-4bb8-91f8-b1a4bccd2574 · outbound

This paper cites Spread complexity for the planar limit of holography.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Spread complexity for the planar limit of holography

Reference 20

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source=pdf_text observed=2026-08-03T04:36:17.430447Z digest=sha256:d02516edd45863969dc77f7ca7eb6d9b1d230df7f2085a92387ebf2826690ebb

Observation dbab90cb-830a-4e3c-8b19-e672577d832b · outbound

This paper cites Heller, J.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Heller, J

Reference 21

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source=pdf_text observed=2026-08-03T04:36:17.541444Z digest=sha256:0cb7c035e4f37323e9153826e33dbc1bb7ec39ad329312e5d1bf6a43e7447c90

Observation 018d0dd1-6e18-42a6-8e16-5bd137af049b · outbound

This paper cites Spread complexity and the saturation of wormhole size.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Spread complexity and the saturation of wormhole size

Reference 22

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source=pdf_text observed=2026-08-03T04:36:17.651491Z digest=sha256:9499b736090aacba7b28e14e3a8528ea6c28b1699477ca13c816948a71e649e1

Observation 5d43a315-ce0e-443f-a040-e1e33f35e13b · outbound

This paper cites Heller, F.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Heller, F

Reference 23

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source=pdf_text observed=2026-08-03T04:36:17.724333Z digest=sha256:f262e0a79009493e5a0580dd26bda6d7545471953bdd5031e0ee0b3e3bd142e3

Observation f79ef12d-2ee2-4dc7-a4aa-f6f81e84bc2c · outbound

This paper cites Toda chain flow in Krylov space.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Toda chain flow in Krylov space

Reference 24

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source=pdf_text observed=2026-08-03T04:36:17.834953Z digest=sha256:009d76493154173a1d09d7df74c8fc3e3b630359567cfc52719d21ee11093995

Observation ff47d95e-ab6c-4131-95be-98da25e1cae0 · outbound

This paper cites Krylov complexity in conformal field theory.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov complexity in conformal field theory

Reference 25

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source=pdf_text observed=2026-08-03T04:36:17.915440Z digest=sha256:3e80b599a9e5641ef55a9431e30df9d0fb22b9586575c59798a41c8601540188

Observation 00109743-aaac-4f8f-abfd-8b04650724a1 · outbound

This paper cites Krylov complexity in quantum field theory, and beyond.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov complexity in quantum field theory, and beyond

Reference 26

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source=pdf_text observed=2026-08-03T04:36:18.018863Z digest=sha256:10a66af9a4cf955ac9f56b5e4b134ea5c5db7605bd5c84c2e7eccc638331fe93

Observation 1c0faf3c-ee39-4a42-b634-323d032a17b2 · outbound

This paper cites Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum

Reference 27

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source=pdf_text observed=2026-08-03T04:36:18.096295Z digest=sha256:0ec5d92339206b56aa00b1288c105692861badf8407a84096dffd9614ea972d7

Observation 29bcdc95-de87-421c-9b8e-22f91f1c6e26 · outbound

This paper cites Quantum chaos, integrability, and late times in the Krylov basis.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum chaos, integrability, and late times in the Krylov basis

Reference 28

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source=pdf_text observed=2026-08-03T04:36:18.196033Z digest=sha256:c88cfd15ef9619c428eb694c13143a2189d5b834453141aaf5064f795e187de3

Observation ea11f4f9-fc8c-4038-92e1-2112859ee150 · outbound

This paper cites Spectral and Krylov Complexity in Billiard Systems.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Spectral and Krylov Complexity in Billiard Systems

Reference 29

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source=pdf_text observed=2026-08-03T04:36:18.272133Z digest=sha256:ec0291c9d949e8e8ec977dda8a30b3c47c4ef87477e19f027e26fdff7d35d684

Observation a8a2185d-afde-4d0d-85c2-a4fb9e708f01 · outbound

This paper cites Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos

Reference 30

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source=pdf_text observed=2026-08-03T04:36:18.344560Z digest=sha256:0cc9ac7954da811668654824a3b5f09102004618d4d5f549df417f2a09f849e5

Observation 770b8ffb-60bf-4eb8-b940-ea0a64abc613 · outbound

This paper cites Dissecting Quantum Many-body Chaos in the Krylov Space.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Dissecting Quantum Many-body Chaos in the Krylov Space

Reference 31

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source=pdf_text observed=2026-08-03T04:36:18.431750Z digest=sha256:bbcf5feeaccdd7503e73c96b1fbeb561a731e27476bb7a0c30a89bf8fc866923

Observation c86d6a81-bf1d-4b9d-a919-719c538d1f4d · outbound

This paper cites Quantum complexity and topological phases of matter.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum complexity and topological phases of matter

Reference 32

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source=pdf_text observed=2026-08-03T04:36:18.505970Z digest=sha256:df433319e4178286bb71c7c00666ad4de885f1d20713fc698667fb9c85d10386

Observation 6fe3deb6-364e-4593-9e8e-f4dada56d980 · outbound

This paper cites Spread Complexity and Topological Transitions in the Kitaev Chain.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Spread Complexity and Topological Transitions in the Kitaev Chain

Reference 33

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source=pdf_text observed=2026-08-03T04:36:18.585291Z digest=sha256:188de0723819a6d9b0ac22c923a182de394794750c44be0313df9f672f5a467d

Observation fca6cf36-314f-4dac-86e6-1512466f1418 · outbound

This paper cites Complexity of PXP scars revisited.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Complexity of PXP scars revisited

Reference 34

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source=pdf_text observed=2026-08-03T04:36:18.654872Z digest=sha256:31b24a7889e0ad9c9335c7e13530fd97d302871cc28eb1d8638706896821782a

Observation 0fd48223-66f9-4d8e-aca1-c5de7dc86c98 · outbound

This paper cites Krylov Complexity and Dynamical Phase Transition in the quenched LMG model.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov Complexity and Dynamical Phase Transition in the quenched LMG model

Reference 35

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source=pdf_text observed=2026-08-03T04:36:18.715293Z digest=sha256:2c56975fa8d6a987695ac526aec1b98cdfb2431f51c45972b8182cee88cde374

Observation d82fb189-115d-444b-af35-0632f1efb064 · outbound

This paper cites Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information

Reference 36

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source=pdf_text observed=2026-08-03T04:36:18.774891Z digest=sha256:1efe50925552b276e8c23ddd67d9d909f5c84bc257d5c1a60236b43f95d860dd

Observation a233b6e9-f479-4ab8-b88a-a98e12ff8c09 · outbound

This paper cites Geometry of Krylov Complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Geometry of Krylov Complexity

Reference 37

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source=pdf_text observed=2026-08-03T04:36:18.840182Z digest=sha256:bf936cd42ff4161e13c5ed9e8335f3d956f9eda2f8a4d6990eb4981c73f0c527

Observation 8a71fdb5-1341-4cca-860e-8681339b4fc5 · outbound

This paper cites Probing the entanglement of operator growth.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Probing the entanglement of operator growth

Reference 38

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source=pdf_text observed=2026-08-03T04:36:18.917659Z digest=sha256:f9819d7189109f4b48883af424e657590637d89d65b2990eee43fcff68eba13b

Observation fa90ea45-3813-405f-a9dd-d95d9d3c61ec · outbound

This paper cites Krylov complexity in a natural basis for the Schr\"odinger algebra.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov complexity in a natural basis for the Schr\"odinger algebra

Reference 39

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source=pdf_text observed=2026-08-03T04:36:19.044777Z digest=sha256:aaa01fe615aaf3faa0b9b89f4f57bb66c4b067a7b59d8c5bdc531af629b06ed6

Observation 0381ecb3-1e79-42f7-9d4e-c893df9f414c · outbound

This paper cites Krylov complexity of modular Hamiltonian evolution.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov complexity of modular Hamiltonian evolution

Reference 40

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source=pdf_text observed=2026-08-03T04:36:19.117119Z digest=sha256:e3c24091856fad2f6a65efab4af4fbb9876c15a73c55eff16526f3a61748720e

Observation dcbe9306-a342-4752-85f3-979faef6e632 · outbound

This paper cites Krylov complexity and orthogonal polynomials.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov complexity and orthogonal polynomials

Reference 41

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source=pdf_text observed=2026-08-03T04:36:19.235680Z digest=sha256:7cdd69e5cb639cceae6dd21b8990106ff02ae4860a083f7e993c08ef5ae3fed0

Observation 0fcd0ec5-e9b2-4950-8975-45db833cf421 · outbound

This paper cites Ultimate Speed Limits to the Growth of Operator Complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Ultimate Speed Limits to the Growth of Operator Complexity

Reference 42

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source=pdf_text observed=2026-08-03T04:36:19.366173Z digest=sha256:05b425df0912d37814b853590e482b100910d30e8763a622a691a1608465dcc2

Observation 0499e805-aaa2-4a73-86bf-dfe515a79c46 · outbound

This paper cites Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth

Reference 43

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source=pdf_text observed=2026-08-03T04:36:19.473455Z digest=sha256:4008be0412ef86b5cceb83e7c0d5df59cd3ab4b1421af41bf3e62a7c23ab31db

Observation fea60ad9-bd77-4be9-8dc5-1290c737ab50 · outbound

This paper cites Caputa, G.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Caputa, G

Reference 44

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source=pdf_text observed=2026-08-03T04:36:19.570638Z digest=sha256:38d3caf5d8035f27713c34c0d9e04251a77913d0bea45dc5101d6786e67f3f00

Observation 4b39526d-a881-4402-9374-925eecbc0ff5 · outbound

This paper cites Caputa, G.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Caputa, G

Reference 45

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Observation 0f6c6f90-9c16-4565-97f2-d9c43294df2e · outbound

This paper cites Universal computation by quantum walk.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Universal computation by quantum walk

Reference 46

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source=pdf_text observed=2026-08-03T04:36:19.764768Z digest=sha256:133d808f827e66744c194b723670537f47d18d840b5508987511f33470e7a990

Observation 75de35d0-6282-4dff-ad53-c93952acbeec · outbound

This paper cites Universal quantum computation using the discrete time quantum walk.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Universal quantum computation using the discrete time quantum walk

Reference 47

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source=pdf_text observed=2026-08-03T04:36:19.862922Z digest=sha256:3ba4ec0628d19eec74509cb0948e4fb993ff39109bbfc8f7f6c3348abda43d2e

Observation 618b2cb8-e1b0-4011-a5eb-a3fb47af82a8 · outbound

This paper cites Universal quantum computation by discontinuous quantum walk.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Universal quantum computation by discontinuous quantum walk

Reference 48

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source=pdf_text observed=2026-08-03T04:36:19.929972Z digest=sha256:fce734c8e1e5504b132e5021f43b4f03cf8a4f5e1a76a2b807f35a7eab43d093

Observation bc598cbe-2f42-47db-9635-8a3a67f910aa · outbound

This paper cites Quantum transport and localization in 1d and 2d tight-binding lattices.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum transport and localization in 1d and 2d tight-binding lattices

Reference 49

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source=pdf_text observed=2026-08-03T04:36:19.995847Z digest=sha256:7a34346b4ca2e5c6d9a9a800bc22267489137b4e23be2e4be41332c630905546

Observation 21c14ced-2529-4cb7-bc3a-33c7b492df1f · outbound

This paper cites Xu, X.-W.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Xu, X.-W

Reference 50

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source=pdf_text observed=2026-08-03T04:36:20.065049Z digest=sha256:de4ec5476e5479d06eed99b1f3366321c91f9819798e64d99818a7000692eb06

Observation c60024eb-561f-4051-bdd8-f7c22aa5171c · outbound

This paper cites Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer

Reference 51

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source=pdf_text observed=2026-08-03T04:36:20.131097Z digest=sha256:c10e93100bff59a97a86690def22db59e41feca3ec5ed2b55075363f15f9f6d4

Observation 1c5b6549-f16f-4c3c-aba8-709f71c3c064 · outbound

This paper cites Quantum algorithm for de novo DNA sequence assembly based on quantum walks on graphs.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum algorithm for de novo DNA sequence assembly based on quantum walks on graphs

Reference 52

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source=pdf_text observed=2026-08-03T04:36:20.245546Z digest=sha256:f18517cca125e1ae59d389476a10a17af2f9156614a2eca382fb894322475c64

Observation af1331ea-99b4-45ea-ac29-e9c587704e5d · outbound

This paper cites Quantum random walks - an introductory overview.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum random walks - an introductory overview

Reference 53

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source=pdf_text observed=2026-08-03T04:36:20.314503Z digest=sha256:2dbd7fb6429ec384c1115459c63e410e47ddd1a8e258419185ba82a0d02a82bc

Observation 8a3a6d80-e640-4681-b458-2bd055ab7b7d · outbound

This paper cites Quantum walks: a comprehensive review.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum walks: a comprehensive review

Reference 54

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source=pdf_text observed=2026-08-03T04:36:20.376643Z digest=sha256:7a6a7a87d2aec41ce285319ad41df13e7f389362f52803e23079f4f2350192bc

Observation 0f11bd7c-0ccb-4701-b476-8bbe960359ce · outbound

This paper cites Complex Networks from Classical to Quantum.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Complex Networks from Classical to Quantum

Reference 55

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source=pdf_text observed=2026-08-03T04:36:20.451465Z digest=sha256:5abb7be207556c08bb8c0b2fe1e0699683c93459d5f845a4c97b4ac6099a2165

Observation 6cb4e62b-8054-4db2-b18c-77fbcf13c337 · outbound

This paper cites Review on Quantum Walk Computing: Theory, Implementation, and Application.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Review on Quantum Walk Computing: Theory, Implementation, and Application

Reference 56

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source=pdf_text observed=2026-08-03T04:36:20.566635Z digest=sha256:328a53d3340a1adb760a86029336e41b3295b601cce1e020e295370f4b33f322

Observation 59c2e829-d43c-4b9d-b2d9-015e2e11ed41 · outbound

This paper cites Krylov Spread Complexity of Quantum-Walks.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov Spread Complexity of Quantum-Walks

Reference 57

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source=pdf_text observed=2026-08-03T04:36:20.635913Z digest=sha256:a54880141675e702fb03358c023409d40de2ce4e3fef0ae66013941371891519

Observation ae92abad-8f66-4d54-a8a8-2a44324f1f88 · outbound

This paper cites Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity

Reference 58

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source=pdf_text observed=2026-08-03T04:36:20.719737Z digest=sha256:af3b8cff6378115a88b6e3efc4dfa1b573d369062ea7a7a4334d8ce5ec492e78

Observation aaea41b6-a61c-4df9-8bd2-e5af91c73014 · outbound

This paper cites Quantum Walks on the Hypercube.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Walks on the Hypercube

Reference 59

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source=pdf_text observed=2026-08-03T04:36:20.842320Z digest=sha256:ddb39b031ba375602ed62f232f1564e6bb9d829b95b7a9cb8908427ccd82cd2b

Observation 81c66c27-46e0-4c1b-bccf-04baf7099bdc · outbound

This paper cites Perfect Transfer of Arbitrary States in Quantum Spin Networks.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Perfect Transfer of Arbitrary States in Quantum Spin Networks

Reference 60

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source=pdf_text observed=2026-08-03T04:36:20.919107Z digest=sha256:6e7e514369a51a5afd5e0b5bde72ae47c4f731b9f7bf12dfbe92c01ea6946e31

Observation 5e1e3bb9-5918-477b-93c8-750bc87fe10b · outbound

This paper cites Perfect state transfer on hypercubes and its implementation using superconducting qubits.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Perfect state transfer on hypercubes and its implementation using superconducting qubits

Reference 61

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source=pdf_text observed=2026-08-03T04:36:20.983759Z digest=sha256:99c42d1d6073533792d391761e32a99d8617c1ff7c11e326f0b1c83abd981353

Observation 4a8346b6-a66f-4706-a697-7160bd93525a · outbound

This paper cites Quantum Computation and Decision Trees.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Computation and Decision Trees

Reference 62

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source=pdf_text observed=2026-08-03T04:36:21.048430Z digest=sha256:ddc26a8a72bddec05d63b9b623799e9bcb1bb4cef9c1e8cd56fd3db1c692e02f

Observation 26b23113-f79e-462b-bb3e-2183c95e0a38 · outbound

This paper cites An example of the difference between quantum and classical random walks.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity An example of the difference between quantum and classical random walks

Reference 63

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source=pdf_text observed=2026-08-03T04:36:21.106248Z digest=sha256:4ac2dc3619458278b8401ec43c6d4ec662945bee2a866fb08b3ac28ab0b88e06

Observation 3d67b411-a128-479e-b560-a74399a5cdad · outbound

This paper cites Sugiyama, S.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Sugiyama, S

Reference 64

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source=pdf_text observed=2026-08-03T04:36:21.192243Z digest=sha256:6fb5a4b970a66a7b3619cd8128958c9b7ebf14ad3f13b07c0f61962829b6bf26

Observation 8353e291-d585-4576-a0e8-4226de55ccae · outbound

This paper cites Quantum Dynamics in Krylov Space: Methods and Applications.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Dynamics in Krylov Space: Methods and Applications

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source=pdf_text observed=2026-08-03T04:36:21.278170Z digest=sha256:ec0e6c7c5814013e7cf5afab10e6bc539f0ccf49cceb2a09bc589b1ba4bde923

Observation 75569a29-4683-4231-833d-1d279122518c · outbound

This paper cites Baiguera, V.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Baiguera, V

Reference 66

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source=pdf_text observed=2026-08-03T04:36:21.330449Z digest=sha256:9ef5fd52ddb003362337f525a927dcac3646a4c67b50936f51d01765407b6016

Observation a600d99c-356b-428a-a3ea-0dd09d7a08ce · outbound

This paper cites Krylov Complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov Complexity

Reference 67

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source=pdf_text observed=2026-08-03T04:36:21.383147Z digest=sha256:c75187ef7539a021a7ac7248783f73d3f61f1d7bc2f48d01c25dbb4caf1ad4f5

Observation 524f0661-c313-446e-9760-ff6bb4112227 · outbound

This paper cites Viswanath and G.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Viswanath and G

Reference 68

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source=pdf_text observed=2026-08-03T04:36:21.454110Z digest=sha256:0f21631875d74fd8930dafd427d0b22b1e6ff74fbf41da07b11628a24a2d32c2

Observation a8b902b4-0020-4631-9a19-5d138c042fff · outbound

This paper cites Multiseed Krylov complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Multiseed Krylov complexity

Reference 69

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source=pdf_text observed=2026-08-03T04:36:21.545625Z digest=sha256:d2e7647afc387ac719ff47e8cfb6e71eec10496d64900f596b9394f2d9118b19

Observation aa5d8f01-9c1a-4e4f-9314-4c5b6dc9b79e · outbound

This paper cites Balasubramanian, T.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Balasubramanian, T

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source=pdf_text observed=2026-08-03T04:36:21.594985Z digest=sha256:5e8b34b9386e603d6361cfa61137788eaf7ac8e835011d8dee1ad69cbd2fb2de

Observation 8a24bb1c-ae9d-44b4-8192-98c2ac88e10c · outbound

This paper cites Operator growth in 2d CFT.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator growth in 2d CFT

Reference 71

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source=pdf_text observed=2026-08-03T04:36:21.654770Z digest=sha256:8fc1f8fea60eac22f55ccea84de0b07ace01d25b5a812c2fe0a358eee6612f8c

Observation f1ae9783-6f20-442e-bc82-2250e229e673 · outbound

This paper cites ’t Hooft,A Planar Diagram Theory for Strong Interactions,Nucl.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity ’t Hooft,A Planar Diagram Theory for Strong Interactions,Nucl

Reference 72

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source=pdf_text observed=2026-08-03T04:36:21.739107Z digest=sha256:c8d2b90153c6ea927a550e74cbd2cf0f8677fbab5e35d74913013c60e286ceef

Observation 10152cfb-8c1c-423e-a93a-8e991e568310 · outbound

This paper cites Comments on the Sachdev-Ye-Kitaev model.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Comments on the Sachdev-Ye-Kitaev model

Reference 73

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source=pdf_text observed=2026-08-03T04:36:21.812819Z digest=sha256:a0145ba223ebff7a7169009c0a988cc019381313db7359061dc78eb6b718a50f

Observation 2e276c4b-047f-4e07-903a-79a3c18a6e1c · outbound

This paper cites Operator K-complexity in DSSYK: Krylov complexity equals bulk length.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator K-complexity in DSSYK: Krylov complexity equals bulk length

Reference 74

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source=pdf_text observed=2026-08-03T04:36:21.868550Z digest=sha256:1e154e9935f7c9fc4e9ffc3931b26fa933ee66e60d61bd489535edb0d3f41880

Observation d252e82d-3f2b-4915-90d0-b699bf90284d · outbound

This paper cites Krylov complexity in large-$q$ and double-scaled SYK model.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Krylov complexity in large-$q$ and double-scaled SYK model

Reference 75

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source=pdf_text observed=2026-08-03T04:36:21.958907Z digest=sha256:b83de6196ef431ff523583f03639fb635808902423531728b44d10b7a955f57b

Observation 7e07e207-8cdf-4072-a035-da354a44c3ad · outbound

This paper cites Operator dynamics in Lindbladian SYK: a Krylov complexity perspective.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator dynamics in Lindbladian SYK: a Krylov complexity perspective

Reference 76

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source=pdf_text observed=2026-08-03T04:36:22.019230Z digest=sha256:c8c1a7d0e5f17aba56f6ea4f1a4fd7dacd5891a55c8c1a8a2c4c9a5c9b3544c2

Observation bec520e8-7acd-4aa4-87c8-25c981448eaf · outbound

This paper cites Tridiagonal Hamiltonians modeling the density of states of the Double-Scaled SYK model.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Tridiagonal Hamiltonians modeling the density of states of the Double-Scaled SYK model

Reference 77

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source=pdf_text observed=2026-08-03T04:36:22.078204Z digest=sha256:5f26d3a04756d478eefabe11bf42b75a6b61a3f011010aba789ceb70e4bc6c5d

Observation 541ff68f-3c69-47e9-8b9a-acc05f6ed71a · outbound

This paper cites Operator growth in open quantum systems: lessons from the dissipative SYK.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator growth in open quantum systems: lessons from the dissipative SYK

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Observation dd29ee95-6b12-4ab2-be7a-75715ccd5226 · outbound

This paper cites Operator growth in the SYK model.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator growth in the SYK model

Reference 79

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source=pdf_text observed=2026-08-03T04:36:22.225301Z digest=sha256:8f942ede9d104fd6d47e252fe43d6596bb9b3d64ad2506e2b366e05c8d94ff73

Observation 072665a7-4651-4c99-8eee-a7c536a26740 · outbound

This paper cites Late-Time Saturation of Black Hole Complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Late-Time Saturation of Black Hole Complexity

Reference 80

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source=pdf_text observed=2026-08-03T04:36:22.290435Z digest=sha256:43df8ed86a1f8cb56ba042410e28bf954f36f5250f3fe681274a7b9437c49c65

Observation d15b6fad-75f3-4cff-a1d0-0d4eb875c967 · outbound

This paper cites Cayley graphs and complexity geometry.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Cayley graphs and complexity geometry

Reference 81

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source=pdf_text observed=2026-08-03T04:36:22.367003Z digest=sha256:8eb185f599e767d36216bcc0ef2808b29baf870029474fd6d8dee1d861ff860d

Observation e44862b9-8c1a-4a8c-a317-123a9c211cca · outbound

This paper cites Black holes as mirrors: quantum information in random subsystems.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Black holes as mirrors: quantum information in random subsystems

Reference 82

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source=pdf_text observed=2026-08-03T04:36:22.431078Z digest=sha256:2d0bf618f99795f222922a07805c447889874cc6f009e392a78a7eed89089199

Observation a43d5802-7a9f-471a-aaaf-80d172f80daa · outbound

This paper cites Balasubramanian, P.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Balasubramanian, P

Reference 83

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source=pdf_text observed=2026-08-03T04:36:22.492064Z digest=sha256:acdef0337ddd4b2cc29f04091a9d3a0a16f5135d6e731bbb2a1e7e12c100a284

Observation 6f341dac-09bf-4c3d-8a13-e2a0f9ac617a · outbound

This paper cites Quantum Walks On Graphs.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Quantum Walks On Graphs

Reference 84

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source=pdf_text observed=2026-08-03T04:36:22.545946Z digest=sha256:a1ead278ec59a2dfdaa42b9bf535ad71fc0f0111b0fa0afe4ea430a888b66497

Observation 481b2313-2c04-4810-b48a-0edb86554cc8 · outbound

This paper cites Exact convergence times for generation of random bipartite entanglement.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Exact convergence times for generation of random bipartite entanglement

Reference 85

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source=pdf_text observed=2026-08-03T04:36:22.637518Z digest=sha256:773a576e3f0fc5726a9e89087588241ac6ec802db53c255fad011c2266f1d84a

Observation 402d8234-01a8-4d04-8b97-514a6f52f71e · outbound

This paper cites Emergence of typical entanglement in two-party random processes.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Emergence of typical entanglement in two-party random processes

Reference 86

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source=pdf_text observed=2026-08-03T04:36:22.721018Z digest=sha256:b7c7d335bae85b2ce98d07e68c46c3531a535f5160ce6359dcdbf49ae89be316

Observation eb20264d-647a-4217-a0a6-f92b9350188c · outbound

This paper cites Fast Scramblers.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Fast Scramblers

Reference 87

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source=pdf_text observed=2026-08-03T04:36:22.808803Z digest=sha256:3872a32ec47d4e4393c7b28ecb2703acde488eb23cdcf300555d34731a085fa4

Observation 4ffe4e90-f3e6-47e9-a4b2-5436705551af · outbound

This paper cites Towards the fast scrambling conjecture.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Towards the fast scrambling conjecture

Reference 88

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source=pdf_text observed=2026-08-03T04:36:22.868042Z digest=sha256:2a3237e7f0c776c7e288b6c6297a90356d1687a9400c71e20e34166d3e85bcdf

Observation 54ed8040-9866-44f2-9767-0aa9e034f93e · outbound

This paper cites Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws

Reference 89

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source=pdf_text observed=2026-08-03T04:36:22.946041Z digest=sha256:b7e13cb180241ecb386491a8d96a21c088c5401b3bea24f4ad40f14eaa0111fd

Observation ec0938a8-caf2-44cb-b13e-e7edbc71e923 · outbound

This paper cites Operator Spreading in Random Unitary Circuits.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Operator Spreading in Random Unitary Circuits

Reference 90

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source=pdf_text observed=2026-08-03T04:36:23.005559Z digest=sha256:7635b44dfa0bc5b05e091631ea6dc4b1a63d58fe0c69735eec8dabcf7154230b

Observation 5838230a-7768-4034-8751-ac42d356da69 · outbound

This paper cites Random Quantum Circuits.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Random Quantum Circuits

Reference 91

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source=pdf_text observed=2026-08-03T04:36:23.080945Z digest=sha256:99bac51f868bd4e15ff6751f0b8db8b4a33fda788801e64ecff1089435b0a2c9

Observation 709a8c8c-db7c-4730-8012-8ff1757f413b · outbound

This paper cites Building Krylov complexity from circuit complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Building Krylov complexity from circuit complexity

Reference 92

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source=pdf_text observed=2026-08-03T04:36:23.150680Z digest=sha256:67dfc2d5df1ec681e59b354e1dcadcd8835caaab096750d230a5cc242365d659

Observation 042f426e-bdf7-4b30-89d7-68a6b23ccfbc · outbound

This paper cites A relation between Krylov and Nielsen complexity.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity A relation between Krylov and Nielsen complexity

Reference 93

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source=pdf_text observed=2026-08-03T04:36:23.239673Z digest=sha256:e57e3fd8aceb010d25802e2fecdb2bb8a1dd5aa362a36bf900ae8e22ecb98a6d

Observation 5e985d90-3f74-4547-b66c-d22a656d2213 · outbound

This paper cites Craps, G.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Craps, G

Reference 94

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source=pdf_text observed=2026-08-03T04:36:23.335536Z digest=sha256:4c8d05270dff59f96ef3bb045aa66073be16ca2b1661af4b7757a82ecd7cc718

Observation dafd3fb9-d97c-4d73-8cd2-ff32cb154f60 · outbound

This paper cites The bulk Hilbert space of double scaled SYK.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity The bulk Hilbert space of double scaled SYK

Reference 95

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source=pdf_text observed=2026-08-03T04:36:23.407970Z digest=sha256:5146408b689056ec20c56370c2150b9fbaf7215097971216c029ee3e73d6dc9c

Observation e94b2186-f7bb-43c3-ba09-6987f57cca48 · outbound

This paper cites Parisi's hypercube, Fock-space frustration and near-AdS$_2$/near-CFT$_1$ holography.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Parisi's hypercube, Fock-space frustration and near-AdS$_2$/near-CFT$_1$ holography

Reference 96

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source=pdf_text observed=2026-08-03T04:36:23.482761Z digest=sha256:2ac47258cff623851e3b3193363d2d48381b1abad0863891b3e84607beb6a912

Observation 722e4d33-f3e5-4973-8daa-05debdbb3e0c · outbound

This paper cites Parisi's hypercube, Fock-space fluxes, and the microscopics of near-AdS$_2$/near-CFT$_1$ duality.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Parisi's hypercube, Fock-space fluxes, and the microscopics of near-AdS$_2$/near-CFT$_1$ duality

Reference 97

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source=pdf_text observed=2026-08-03T04:36:23.555370Z digest=sha256:3cc17b33d3776e748daf5a171d4e403a8926dd3e820aa9801d5ab14a4bec17d7

Observation bfb0ca99-223d-454e-a919-b7ee35b75083 · outbound

This paper cites ˇCindrak, L.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity ˇCindrak, L

Reference 98

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source=pdf_text observed=2026-08-03T04:36:23.609248Z digest=sha256:82a0bce315f4b7cc4e627dd37bff14fdf8255469fecbc11ed70fbf4cbbb71a73

Observation 9a5ff984-e778-44fe-a1c7-6190ec6b1cc5 · outbound

This paper cites ˇCindrak, K.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity ˇCindrak, K

Reference 99

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source=pdf_text observed=2026-08-03T04:36:23.661380Z digest=sha256:03a96c2bb8c37b076f86def4a3ed2611b53fad562d42a1aec98e89e7c6e4c1a5

Pith citing papers

Observation ede38a57-0f4f-4b43-8be2-b1616a115f85 · inbound

Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas cites this paper.

Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity

Reference 84

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source=pdf_text observed=2026-05-15T08:20:09.796633Z digest=sha256:ee9c7cbfec76855e56427fc25eef5e7432971f022f9b2855f99de0dfcc1a92b4