Pith. sign in

Paper Citation Record · LEDGER

Adaptive-depth randomized measurement for fermionic observables

As of 18 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2501.09574.

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

pith.paper-citation-record.v1
2501.09574 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:00:41.617197Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

  • verified exact0
  • verified fuzzy32
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5fad4d1f-c14e-48c6-92b0-ca53d7dd1290 · outbound

This paper cites Two soluble models of an antiferromagnetic chain.

Adaptive-depth randomized measurement for fermionic observables Two soluble models of an antiferromagnetic chain

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.294107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.294107Z digest=sha256:9cc4c8e582c688df9f4a4dbf4d219568817e8df9b20750d540278960d67ccea2

Observation 347ec72c-0dcb-4373-b674-8eeebdb1faaf · outbound

This paper cites Kosterlitz-thouless transition and short range spatial correlations in an extended hubbard model.

Adaptive-depth randomized measurement for fermionic observables Kosterlitz-thouless transition and short range spatial correlations in an extended hubbard model

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.488885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.302557Z digest=sha256:54abc02edb31abe989071fd2cafb91ec9872e5c660c25de7b0c1da15eb9e9769

Observation f2393146-eb91-4d0b-81f9-cf64059c7ac9 · outbound

This paper cites Simulated quantum computation of molecular energies.

Adaptive-depth randomized measurement for fermionic observables Simulated quantum computation of molecular energies

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.309965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.309965Z digest=sha256:a71d139ddb757facc2fe03f1406e68b94e317bcb6104588765e5f4ed10797234

Observation 2792953e-76d6-478b-9c5f-fb7d4c087a59 · outbound

This paper cites Simulation of electronic structure hamiltonians using quantum computers.

Adaptive-depth randomized measurement for fermionic observables Simulation of electronic structure hamiltonians using quantum computers

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.460010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.318872Z digest=sha256:f5113fa65a9ae37ca647124e71c7e79a94c1590700d1889cf63fced4f0b847d4

Observation b646ee7e-d540-44a7-884f-37204f79dd29 · outbound

This paper cites Interacting electrons and quantum magnetism.

Adaptive-depth randomized measurement for fermionic observables Interacting electrons and quantum magnetism

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.441555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.324842Z digest=sha256:fddd8cdc9b93d475ea40bdbaad82afb86bf962cad8da37fdb966b1d71ac91824

Observation b97b185a-8ec3-4a4e-8746-e764aea7fd01 · outbound

This paper cites Quantum chemistry in the age of quantum computing.

Adaptive-depth randomized measurement for fermionic observables Quantum chemistry in the age of quantum computing

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.424184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.332356Z digest=sha256:4c812bd0bbdc903839b786178c2cb9361bc9cf2df3e283fa0d2cfd10c7284fc9

Observation 3566150e-add8-4206-a7a1-07d2a4861a81 · outbound

This paper cites The variational quantum eigensolver: a review of methods and best practices.

Adaptive-depth randomized measurement for fermionic observables The variational quantum eigensolver: a review of methods and best practices

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.406617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.339803Z digest=sha256:ad2a32d8c871d6af2c03f116fccae8d8be2b18771121610cf92eef980de78e82

Observation 8e64ef35-649b-4346-93d5-fe4a5b78a81a · outbound

This paper cites Variational quantum algorithms.

Adaptive-depth randomized measurement for fermionic observables Variational quantum algorithms

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.346499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.346499Z digest=sha256:e6e34dede8f7303c74c4a06c5564e9d3ba6278e1463b4cba64ac48d379619028

Observation bbbbe21b-ad69-44a1-ae21-5aef572a8e18 · outbound

This paper cites Quantum monte carlo simulations of solids.

Adaptive-depth randomized measurement for fermionic observables Quantum monte carlo simulations of solids

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.353331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.353331Z digest=sha256:b9abbffeef48033632b0fbea629948b6402538df47c03a0ccfbdfacc8045c88b

Observation f864f314-c493-4f34-b7f6-70b5011bca9e · outbound

This paper cites Quantum monte carlo methods for nuclear physics.

Adaptive-depth randomized measurement for fermionic observables Quantum monte carlo methods for nuclear physics

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.366800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.359493Z digest=sha256:702d1a9d5d76efdb571b673aa63b47641a7d4d4eac0bfa911d4ad01e98871eaf

Observation a5bc0ac6-6926-438d-a793-a262c737410e · outbound

This paper cites Predicting many properties of a quantum system from very few measurements.

Adaptive-depth randomized measurement for fermionic observables Predicting many properties of a quantum system from very few measurements

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.366080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.366080Z digest=sha256:2d9f598b9880a9a2727ecd65a14d65ab7717f20c4d0c98c5be7b9327669cedb1

Observation 9c9c6e97-bf09-4dc8-97ce-ba2094c7e0d9 · outbound

This paper cites Nearly optimal measurement scheduling for partial tomography of quantum states.

Adaptive-depth randomized measurement for fermionic observables Nearly optimal measurement scheduling for partial tomography of quantum states

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.338634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.374238Z digest=sha256:8f085ffc30f622f2806762199307952cf09d6fc8136a61ff993d88aee3f93f57

Observation 886ba861-1840-4d81-ac4b-95dc8f22c021 · outbound

This paper cites Rubin, and Akimasa Miyake.

Adaptive-depth randomized measurement for fermionic observables Rubin, and Akimasa Miyake

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.320898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.380870Z digest=sha256:9a4ee168de64b52bfd0b0eac12524eb54bce549486dd19f21293cc51fd493c06

Observation 5762f6d0-b0bc-40a1-a75e-1a85dfc1347a · outbound

This paper cites Classical shadows of fermions with particle number symmetry.

Adaptive-depth randomized measurement for fermionic observables Classical shadows of fermions with particle number symmetry

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.389542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.389542Z digest=sha256:1d61e9fed28dc396599fd7959ec029401701a450016ed766ed30c00ac90ba5e0

Observation af3543df-da59-46ce-a355-46a99aa8c207 · outbound

This paper cites Huggins, Joonho Lee, and Ryan Babbush.

Adaptive-depth randomized measurement for fermionic observables Huggins, Joonho Lee, and Ryan Babbush

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.301326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.396070Z digest=sha256:e26e710849c87cf696691a5f796b55d461dcc39826cd6fbeb6c7c6186ee7a847

Observation 6924d901-2c33-45c2-b77d-b162ac25ed2c · outbound

This paper cites Group-theoretic error mitigation enabled by classical shadows and symmetries.

Adaptive-depth randomized measurement for fermionic observables Group-theoretic error mitigation enabled by classical shadows and symmetries

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.283624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.404904Z digest=sha256:2090cd4135db9083386abc79ab5fd611eb15b7f47da461d4f948cb0f92143da4

Observation 5004b802-6a4c-4447-a36d-4c2019bd89c8 · outbound

This paper cites Unified Framework for Matchgate Classical Shadows.

Adaptive-depth randomized measurement for fermionic observables Unified Framework for Matchgate Classical Shadows

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.410391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.410391Z digest=sha256:a3251e5e99b464c06646e76751ea83583ba794934665d2e15e3036df8c8a7a11

Observation 84da5bbb-25d2-4bf2-a08b-cd0c97912bac · outbound

This paper cites Optimal synthesis of linear reversible circuits.

Adaptive-depth randomized measurement for fermionic observables Optimal synthesis of linear reversible circuits

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.263071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.420854Z digest=sha256:e3f57aa17974481d48dc4dc5c4db4df1cd95c72123398c6a5c80736dab1f5e5b

Observation e0d16b62-38e3-4df5-87a2-03751f1ee33e · outbound

This paper cites Optimal space-depth trade-off of cnot circuits in quantum logic synthesis.

Adaptive-depth randomized measurement for fermionic observables Optimal space-depth trade-off of cnot circuits in quantum logic synthesis

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.245526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.426989Z digest=sha256:aa6ef764e97c4f006ec5e056d15be7220eae165d941f9ad1c0ff76b19b6c74a3

Observation 63435030-81a3-4c9b-818d-76b26f6ac03d · outbound

This paper cites Quantum algorithms to simulate many-body physics of correlated fermions.

Adaptive-depth randomized measurement for fermionic observables Quantum algorithms to simulate many-body physics of correlated fermions

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.225533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.433275Z digest=sha256:7a91ad302609e1ad988583b2a7d69a71b3e71c4de99f0dbb8ad0f2d0e426eadd

Observation 3fb8a35d-aacb-4ae3-9583-d3a4e62d1fe5 · outbound

This paper cites Quantum supremacy using a programmable superconducting processor.

Adaptive-depth randomized measurement for fermionic observables Quantum supremacy using a programmable superconducting processor

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.442273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.442273Z digest=sha256:8f0c624b9a04574d2d016a73672efdde00071a419057da1077236949cd010174

Observation 1f7470c6-f918-4e36-b65e-f769276c55d6 · outbound

This paper cites Strong quantum computational advantage using a superconducting quantum processor.

Adaptive-depth randomized measurement for fermionic observables Strong quantum computational advantage using a superconducting quantum processor

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.193174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.452922Z digest=sha256:1aa1ed9c0b2088e03c6318c738c4360d7b46ddab3c5bdda6a7438eae24098006

Observation 0247c84a-34bb-400b-92be-891b57e57b0b · outbound

This paper cites Generation of genuine entanglement up to 51 superconducting qubits.

Adaptive-depth randomized measurement for fermionic observables Generation of genuine entanglement up to 51 superconducting qubits

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.173314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.459344Z digest=sha256:3fba0a7aded1e663b723eb3216fd61963c138007a43f03facdcae4d0d411cdcb

Observation 8a43a006-edb5-4c2d-98ad-514700e07696 · outbound

This paper cites Shallow shadows: Expectation estimation using low-depth random clifford circuits.

Adaptive-depth randomized measurement for fermionic observables Shallow shadows: Expectation estimation using low-depth random clifford circuits

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.149347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.466888Z digest=sha256:0dbe377e345a3ace7aedece34e0ce1809b356ff15dc893b5a92d8c5a9dd7196b

Observation b376667e-b648-4fe9-a9f4-5ad0a32cb6e5 · outbound

This paper cites Random unitaries in extremely low depth.

Adaptive-depth randomized measurement for fermionic observables Random unitaries in extremely low depth

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.474995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.474995Z digest=sha256:fa07865059cf208f776e2c8274bf83dae3e497d7f53fdd358ca1bdbecdc26700

Observation c0657be7-5894-4a1e-82f7-e15d0ac8cda5 · outbound

This paper cites Optimal twirling depth for classical shadows in the presence of noise.

Adaptive-depth randomized measurement for fermionic observables Optimal twirling depth for classical shadows in the presence of noise

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.130964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.483668Z digest=sha256:95ceefabb7261cadfca5c85c4c5c294af3f2c1d5edba29ac1524ba16bed8ce56

Observation 22361a96-d645-4b44-893b-2fbc649430d0 · outbound

This paper cites How to Construct Random Unitaries.

Adaptive-depth randomized measurement for fermionic observables How to Construct Random Unitaries

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.489854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.489854Z digest=sha256:efeae3f53af7cb019c0e2432fa16fda3e0c85076216a427966b75fb5fa9b524a

Observation 59e6308b-f1e8-43d4-8f95-c8cc4f530201 · outbound

This paper cites Triply efficient shadow tomography.

Adaptive-depth randomized measurement for fermionic observables Triply efficient shadow tomography

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.497351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.497351Z digest=sha256:ebe01b0f74e365d1bff665a5ee366553238ab2becb0c026ca3cb2cc16c103821

Observation 82e66201-18b9-4ff5-97ab-f54d4b0a6999 · outbound

This paper cites Sung, Kostyantyn Kechedzhi, Vadim N.

Adaptive-depth randomized measurement for fermionic observables Sung, Kostyantyn Kechedzhi, Vadim N

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.107624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.503358Z digest=sha256:d10ecac0730e60392ddbae9d50b2fbdee0c790ba1b171e56fe811ce1f01dd5b3

Observation 92e9d33c-0f52-4f6e-a27b-038b8bce6be1 · outbound

This paper cites Bosonic and fermionic gaussian states from k¨ ahler structures.

Adaptive-depth randomized measurement for fermionic observables Bosonic and fermionic gaussian states from k¨ ahler structures

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.088887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.510580Z digest=sha256:641f3c06140e82a9338e433ee7919c56898b0e7e83e154e91c1730ad25f635a7

Observation 92255ef1-2d6c-45bc-b89e-e95e975d1ba9 · outbound

This paper cites an unresolved cited work.

Adaptive-depth randomized measurement for fermionic observables Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:00:42.067256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.516757Z digest=sha256:e8af47f7a40a2009a4eda701f7f0d973b0fd9293ac41996add167f0d4db71816

Observation c8f8ad8a-f1e3-4b1a-8cfc-4a34d754abe3 · outbound

This paper cites an unresolved cited work.

Adaptive-depth randomized measurement for fermionic observables Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.522089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.522089Z digest=sha256:edd8ec1fc208164a4b4d15a64a1bd4359b786af62ddef1db9577932e9cf3240f

Observation 73c1cc61-7182-45d5-8b8e-20b22eda6db9 · outbound

This paper cites Turner, Frank Pollmann, and Erez Berg.

Adaptive-depth randomized measurement for fermionic observables Turner, Frank Pollmann, and Erez Berg

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.037003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.527765Z digest=sha256:36a3b8fe55d4839d5b285a4cde0472ea6e66db4ab3f7d9b30144803ba526acdd

Observation 48210191-bd22-4312-b82b-02550b78179c · outbound

This paper cites Exact spatiotemporal dynamics of confined lattice random walks in arbitrary dimensions: a century after smoluchowski and p´ olya.Physical Review X, 10(2):021045, 2020.

Adaptive-depth randomized measurement for fermionic observables Exact spatiotemporal dynamics of confined lattice random walks in arbitrary dimensions: a century after smoluchowski and p´ olya.Physical Review X, 10(2):021045, 2020

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:42.018821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.534134Z digest=sha256:bf5c69fc5a8130c4e6b6ed2a85ce8844d2e7d95516f9963346c2df011f222a84

Observation 94d01d7c-2dee-4ae2-98c7-bf19f273e91a · outbound

This paper cites Random walk: a modern introduction, volume 123.

Adaptive-depth randomized measurement for fermionic observables Random walk: a modern introduction, volume 123

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T20:00:41.540700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:00:41.540700Z digest=sha256:c7c11a8256005554556c8adbfef8ed9abcfc849be5aa00652bca1e7af5423b6d

Observation e03fc562-ba1c-40f2-9de1-730b2f6a9966 · outbound

This paper cites Unpaired majorana fermions in quantum wires.

Adaptive-depth randomized measurement for fermionic observables Unpaired majorana fermions in quantum wires

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.988177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.547366Z digest=sha256:70f7b0d46377af6c7200918f77bd3ecbdb3fcbddde656d9a6097b1635175fa44

Observation 2d4e04a6-7e17-4e4e-a7f3-151dc0c43625 · outbound

This paper cites And then (−1) |S|(|S|−1) 2 (−1)⌊|S|/2⌋ = (−1)q(2q+1)+q = 1.

Adaptive-depth randomized measurement for fermionic observables And then (−1) |S|(|S|−1) 2 (−1)⌊|S|/2⌋ = (−1)q(2q+1)+q = 1

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.969236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.553048Z digest=sha256:35df2a3f9e71c385365817764a0cd7dc46f57d2a4eba75fc08c8a47b1df846f9

Observation b4882666-8479-4adb-9628-f8ee3f2bb454 · outbound

This paper cites representation.

Adaptive-depth randomized measurement for fermionic observables representation

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.947643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.558157Z digest=sha256:ea5cd6debb2a893943af8352acde855c160d7194af5282aa7d5347943117adef

Observation c307d947-38fb-4229-ba85-212f6a8b50a5 · outbound

This paper cites According to Table I, Tinit(Γ′.

Adaptive-depth randomized measurement for fermionic observables According to Table I, Tinit(Γ′

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.928558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.563311Z digest=sha256:5f3bd5ec4d19c9017bec13506ccfe099d028f3d3881f85e658d9217026eb2667

Observation 75b89ec7-1299-4409-b3d6-e4c8f092f0d3 · outbound

This paper cites (E3) 16 ℬ ℬ𝒫𝑛 ℬ𝒫𝑁 𝒯init(Γ′.

Adaptive-depth randomized measurement for fermionic observables (E3) 16 ℬ ℬ𝒫𝑛 ℬ𝒫𝑁 𝒯init(Γ′

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.908878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.568681Z digest=sha256:21c475af1aaaf17250adc0b2adbc3632534df398fdcaebbcc797e2877ba703c1

Observation cb7e0d51-a491-46e7-a43f-86a86b31de93 · outbound

This paper cites 6: Illustration for the isometric mapping to the polynomial space.

Adaptive-depth randomized measurement for fermionic observables 6: Illustration for the isometric mapping to the polynomial space

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.888822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.575955Z digest=sha256:172936890f13b8ed1885ea78728367a7eee819ca2d9ebd172b7b3ce9b035b624

Observation 3b72af23-571d-4439-975e-288b78fc527c · outbound

This paper cites This map is a linear isomorphism and a homomorphism with an inverse, which means Tinit(Γ′.

Adaptive-depth randomized measurement for fermionic observables This map is a linear isomorphism and a homomorphism with an inverse, which means Tinit(Γ′

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.871993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.581733Z digest=sha256:55d13bcd831d9b15cc7ecb78b28e57799c9ee45574cfb33ac71216d95be541c0

Observation 4f40bb53-c42c-47dc-9798-b160dec7a416 · outbound

This paper cites lose information.

Adaptive-depth randomized measurement for fermionic observables lose information

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.853707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.587441Z digest=sha256:47a92ec70db07480b7d639bc0e4b865cdacf11dcdd0ba88e1207ca86597b0b6c

Observation a9d57671-05bd-4fd3-98b4-2afe82ff1be6 · outbound

This paper cites 1 N + 2 N N −1X k=1 cos i − 1 2 πk N cos µ − 1 2 πk N cos2t πk 2N # ×.

Adaptive-depth randomized measurement for fermionic observables 1 N + 2 N N −1X k=1 cos i − 1 2 πk N cos µ − 1 2 πk N cos2t πk 2N # ×

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.835176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.593279Z digest=sha256:d91096bb38d1601df5421befb531b261e8a3c11461be0b593fc012092dcc8434

Observation 1c182a6e-70d7-4b33-a360-8718c3fb6adb · outbound

This paper cites an unresolved cited work.

Adaptive-depth randomized measurement for fermionic observables Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:00:41.817943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.599099Z digest=sha256:b214e2522df0a848b90f79231f4442f026abc382c1bce4984f51538f68063032

Observation 9abf18c6-dc5f-4cd7-975e-c64c594364d7 · outbound

This paper cites Table I tells us two facts:.

Adaptive-depth randomized measurement for fermionic observables Table I tells us two facts:

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.800769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.604866Z digest=sha256:26a15ece77de78165199d9eeea3b9dfdd79bebe427e19088307ba8f56e634b11

Observation 81f6cb08-d7fa-4b63-b980-adb88d42e58c · outbound

This paper cites an unresolved cited work.

Adaptive-depth randomized measurement for fermionic observables Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:00:41.782880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.612113Z digest=sha256:c8af641a4dceb40479049af491b7a117a3ce95753813805372771f9dc1cf3ff0

Observation c1b3efbb-f020-4792-b648-6b96134d5fa9 · outbound

This paper cites Thus, with dnear(S)/2 steps, there exists a S′ such that the ξS′ is non-zero.

Adaptive-depth randomized measurement for fermionic observables Thus, with dnear(S)/2 steps, there exists a S′ such that the ξS′ is non-zero

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:00:41.765881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T20:00:41.617197Z digest=sha256:16d4248b2c499498627e05446f14a169a6719b0fc88566a8fe96f5a89ae467b8

Pith citing papers

No inbound Pith citation observations are available.