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Paper Citation Record · LEDGER

A quantum algorithm for Khovanov homology

As of 12 August 2026, this Paper Citation Record lists 100 of 108 outbound references and 5 inbound Pith citation observations for arXiv:2501.12378.

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

pith.paper-citation-record.v1
2501.12378 v2

Coverage vector

measured 100 of 108 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T17:21:48.352560Z

measured 105 of 105 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:38:32.421295Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-27T05:20:35.803785Z

Reference resolution

100 of 108 outbound references displayed

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  • verified fuzzy9
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Outbound references

Observation 3bed4238-da99-444e-aa64-e5aa3fa40c3c · outbound

This paper cites A polynomial invariant for knots via von Neumann algebras.

A quantum algorithm for Khovanov homology A polynomial invariant for knots via von Neumann algebras

Reference 1

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Observation ff955176-ea14-4a49-8f75-b6a9f45078dc · outbound

This paper cites How hard is it to approximate the Jones polynomial?.

A quantum algorithm for Khovanov homology How hard is it to approximate the Jones polynomial?

Reference 2

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Observation 299b9030-bc79-49b1-955a-81169159f7a8 · outbound

This paper cites A polynomial quantum algorithm for approximating the Jones polynomial.

A quantum algorithm for Khovanov homology A polynomial quantum algorithm for approximating the Jones polynomial

Reference 3

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Observation c22841a7-3a4d-48af-ad92-eee15c776038 · outbound

This paper cites Simulation of topological field theories by quantum computers.

A quantum algorithm for Khovanov homology Simulation of topological field theories by quantum computers

Reference 4

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Observation 3ecbac76-4149-4943-a7b4-876dbfc57ff7 · outbound

This paper cites The BQP-hardness of approximating the Jones polynomial.

A quantum algorithm for Khovanov homology The BQP-hardness of approximating the Jones polynomial

Reference 5

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Observation b67112ec-1cab-4266-8b45-45c15e83e613 · outbound

This paper cites Quantum field theory and the Jones polynomial.

A quantum algorithm for Khovanov homology Quantum field theory and the Jones polynomial

Reference 6

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Observation d8dc99d6-f2c5-4e7e-8ef0-dbed03d41660 · outbound

This paper cites Invariants of 3-manifolds via link polynomials and quan- tum groups.

A quantum algorithm for Khovanov homology Invariants of 3-manifolds via link polynomials and quan- tum groups

Reference 7

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Observation 9d0667ad-a840-4c33-bba0-f9b03c5abaf6 · outbound

This paper cites State models and the Jones polynomial.

A quantum algorithm for Khovanov homology State models and the Jones polynomial

Reference 8

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Observation 611ef372-65b7-4b67-be69-957d2370a97a · outbound

This paper cites On knot invariants related to some statistical mechanical models.

A quantum algorithm for Khovanov homology On knot invariants related to some statistical mechanical models

Reference 9

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Observation 5cb4f582-3791-46bb-8caa-d7e4ef46e510 · outbound

This paper cites Topological Quantum Computation.

A quantum algorithm for Khovanov homology Topological Quantum Computation

Reference 10

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Observation 8b4ceb9a-723d-458b-a5e5-954f80be9878 · outbound

This paper cites Fault-tolerant quantum computation by anyons.

A quantum algorithm for Khovanov homology Fault-tolerant quantum computation by anyons

Reference 11

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Observation ca4a553c-d974-4456-ad8b-61111e3dcdfc · outbound

This paper cites A categorification of the Jones polynomial.

A quantum algorithm for Khovanov homology A categorification of the Jones polynomial

Reference 12

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Observation b39280c8-02ef-4c7a-b4cc-2b07ec023740 · outbound

This paper cites an unresolved cited work.

A quantum algorithm for Khovanov homology Unresolved cited work

Reference 13

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Observation 5a3bdddb-2604-4b6a-9aba-08eef19e3516 · outbound

This paper cites Fast Khovanov homology computations.

A quantum algorithm for Khovanov homology Fast Khovanov homology computations

Reference 14

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Observation a643c63e-7ba6-44d4-b0c5-f19e24f4709c · outbound

This paper cites On Khovanov’s categorification of the Jones polynomial.

A quantum algorithm for Khovanov homology On Khovanov’s categorification of the Jones polynomial

Reference 15

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Observation 7c4586a6-494a-47d0-9335-878a2bac0c30 · outbound

This paper cites Khovanov homology and gauge theory.

A quantum algorithm for Khovanov homology Khovanov homology and gauge theory

Reference 16

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Observation e091f0b8-f9cb-4a19-9afb-bd0c77b58d5b · outbound

This paper cites Fivebranes and knots.

A quantum algorithm for Khovanov homology Fivebranes and knots

Reference 17

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Observation f9f84759-d4e1-45d4-9302-af1ed246d08c · outbound

This paper cites Khovanov-Rozansky Homology and Topological Strings.

A quantum algorithm for Khovanov homology Khovanov-Rozansky Homology and Topological Strings

Reference 18

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Observation 8fd4352c-50dc-4868-a787-7f6ef080c89d · outbound

This paper cites Knot invariants from four-dimensional gauge theory.

A quantum algorithm for Khovanov homology Knot invariants from four-dimensional gauge theory

Reference 19

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Observation 4d7ea8cc-015c-4752-8822-1ba1fa5c0cbe · outbound

This paper cites BPS spectra and 3-manifold invariants.

A quantum algorithm for Khovanov homology BPS spectra and 3-manifold invariants

Reference 20

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Observation ecf2fe58-7279-4681-b4d4-589fdb39c27e · outbound

This paper cites Knot homology and refined Chern-Simons index.

A quantum algorithm for Khovanov homology Knot homology and refined Chern-Simons index

Reference 21

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Observation fd4deeac-c898-4846-b67b-fe230d24f20b · outbound

This paper cites Quantum algorithms for topological and geometric analysis of data.

A quantum algorithm for Khovanov homology Quantum algorithms for topological and geometric analysis of data

Reference 22

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Observation 17e0617c-c744-4d48-ace9-8ca01d04cb00 · outbound

This paper cites Knot categorification from mirror symmetry part I: Coherent sheaves.

A quantum algorithm for Khovanov homology Knot categorification from mirror symmetry part I: Coherent sheaves

Reference 23

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Observation 84b0d8e2-2675-44f3-bc1a-8a86629e2ebc · outbound

This paper cites Towards quantum advantage via topological data analysis.

A quantum algorithm for Khovanov homology Towards quantum advantage via topological data analysis

Reference 24

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Observation 17b450f7-9b15-4a56-a45a-0115cf91ddef · outbound

This paper cites Provable quantum speedups for computing persistence in topological data analysis.

A quantum algorithm for Khovanov homology Provable quantum speedups for computing persistence in topological data analysis

Reference 25

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Observation 811f5824-44ea-46bb-9ade-a17157827078 · outbound

This paper cites Analyzing Prospects for Quantum Advantage in Topological Data Analysis.

A quantum algorithm for Khovanov homology Analyzing Prospects for Quantum Advantage in Topological Data Analysis

Reference 26

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Observation 59aea033-8e95-4147-b148-ada65f184989 · outbound

This paper cites Quantum algorithm for persistent Betti numbers and topological data analysis.

A quantum algorithm for Khovanov homology Quantum algorithm for persistent Betti numbers and topological data analysis

Reference 27

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Observation 6d39bde3-9168-4f1a-95cb-a96ee3b06d69 · outbound

This paper cites Complexity-theoretic limitations on quantum al- gorithms for topological data analysis.

A quantum algorithm for Khovanov homology Complexity-theoretic limitations on quantum al- gorithms for topological data analysis

Reference 28

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Observation 182d4780-1b27-446b-bde1-67c745075873 · outbound

This paper cites A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits.

A quantum algorithm for Khovanov homology A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits

Reference 29

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Observation f651ed1a-7df1-4a6d-8641-c32d30a924e9 · outbound

This paper cites Gapped Clique Homology on weighted graphs is $\text{QMA}_1$-hard and contained in $\text{QMA}$.

A quantum algorithm for Khovanov homology Gapped Clique Homology on weighted graphs is $\text{QMA}_1$-hard and contained in $\text{QMA}$

Reference 30

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Observation d7d11eab-4503-4c6e-adfc-d218bffccf79 · outbound

This paper cites Clique Homology is QMA1-hard.

A quantum algorithm for Khovanov homology Clique Homology is QMA1-hard

Reference 31

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Observation 2c2be303-a4a1-4ceb-a410-d5881cfd6e3d · outbound

This paper cites Supersymmetry and Morse theory.

A quantum algorithm for Khovanov homology Supersymmetry and Morse theory

Reference 32

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Observation 0c7c0cb1-334a-4ac2-a1b2-955b64ee1cb9 · outbound

This paper cites Quantum Walks on Simplicial Complexes and Harmonic Homology: Application to Topological Data Analysis with Superpolynomial Speedups.

A quantum algorithm for Khovanov homology Quantum Walks on Simplicial Complexes and Harmonic Homology: Application to Topological Data Analysis with Superpolynomial Speedups

Reference 33

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Observation 178b6e94-ed62-43de-82a8-3bf82ff26fd3 · outbound

This paper cites Khovanov homology is an unknot-detector.

A quantum algorithm for Khovanov homology Khovanov homology is an unknot-detector

Reference 34

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Observation d1eb86ca-91a8-4173-b5ee-f40486b36bb7 · outbound

This paper cites Complexity of Supersymmetric Systems and the Cohomology Problem.

A quantum algorithm for Khovanov homology Complexity of Supersymmetric Systems and the Cohomology Problem

Reference 35

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Observation ed6caf14-400b-47c6-9a27-a92f0b69b93e · outbound

This paper cites Estimating Jones polynomials is a complete problem for one clean qubit.

A quantum algorithm for Khovanov homology Estimating Jones polynomials is a complete problem for one clean qubit

Reference 36

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Observation 70a74473-c8f0-42c8-95fb-3eb9fc0a4a45 · outbound

This paper cites Quantum measurements and the Abelian Stabilizer Problem.

A quantum algorithm for Khovanov homology Quantum measurements and the Abelian Stabilizer Problem

Reference 37

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Observation ada31929-a3f9-43b1-a3b0-018f5c50f946 · outbound

This paper cites Quantum algorithms from fluctua- tion theorems: Thermal-state preparation.

A quantum algorithm for Khovanov homology Quantum algorithms from fluctua- tion theorems: Thermal-state preparation

Reference 38

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Observation 218d9861-1862-41e6-9b33-3a7b0a138c2b · outbound

This paper cites Fast Thermalization from the Eigenstate Thermalization Hypothesis.

A quantum algorithm for Khovanov homology Fast Thermalization from the Eigenstate Thermalization Hypothesis

Reference 39

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source=pdf_text observed=2026-08-10T17:21:47.963462Z digest=sha256:ec27cb78c1231248e168aa598b4b6e2865d20e2cdc2bc5c5a3f45a9ecc7c7d79

Observation e3e1b7f9-f894-4ff1-a27d-53dbb2b260c2 · outbound

This paper cites An efficient and exact noncommu- tative quantum Gibbs sampler.

A quantum algorithm for Khovanov homology An efficient and exact noncommu- tative quantum Gibbs sampler

Reference 40

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source=pdf_text observed=2026-08-10T17:21:47.980458Z digest=sha256:3ae91944794d94be7ae94b58dbb33597ec1646a0384d09dafae032fb51168ffd

Observation 405eacb7-1399-4ccf-b521-f544a9c4af47 · outbound

This paper cites Quantum Thermal State Preparation.

A quantum algorithm for Khovanov homology Quantum Thermal State Preparation

Reference 41

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source=pdf_text observed=2026-08-10T17:21:47.973927Z digest=sha256:16a2b5e011336e57fcd8bc94dd8c822fa220214bee4d86a7c2e6d5a326f33eaa

Observation 31b1d04b-9bc5-4bfd-86bc-2373bb2a53c4 · outbound

This paper cites Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition.

A quantum algorithm for Khovanov homology Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition

Reference 42

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source=pdf_text observed=2026-08-10T17:21:47.993202Z digest=sha256:6eab3da13e2d24643091220ed25705af31e032f271d718a534d2b08a795ad49c

Observation 5be7b93f-adc6-43dd-a7a6-7dbb079af3c8 · outbound

This paper cites Quantum generalizations of Glauber and Metropolis dynamics.

A quantum algorithm for Khovanov homology Quantum generalizations of Glauber and Metropolis dynamics

Reference 43

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source=pdf_text observed=2026-08-10T17:21:47.985204Z digest=sha256:875810d3147806b277ddee28d8af10d3862327bc038ed557f4b58c99c2c0fd27

Observation fc3f3f7e-a4d8-418d-a998-874028a6cb05 · outbound

This paper cites Polynomial Quantum Algorithms for Additive approximations of the Potts model and other Points of the Tutte Plane.

A quantum algorithm for Khovanov homology Polynomial Quantum Algorithms for Additive approximations of the Potts model and other Points of the Tutte Plane

Reference 44

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source=pdf_text observed=2026-08-10T17:21:48.006377Z digest=sha256:ca579d9042dd457caa86e0f5773473c559d85d042a269646ed723b90ef5b859f

Observation 032b397b-5b88-4149-bd23-3ea04f608556 · outbound

This paper cites The topology of data hides in quantum thermal states.

A quantum algorithm for Khovanov homology The topology of data hides in quantum thermal states

Reference 45

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verified exact
local_arxiv, observed 2026-08-10T17:21:49.770487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.000013Z digest=sha256:0a5406394106c5fc914c2782ecd4fc935d2168fae4f90d5c74f3bc289a4bb379

Observation a45dfe5d-df2c-4a50-be91-7d853b8d1ea3 · outbound

This paper cites Topological Quantum Information, Khovanov Homology and the Jones Polynomial.

A quantum algorithm for Khovanov homology Topological Quantum Information, Khovanov Homology and the Jones Polynomial

Reference 46

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verified exact
local_arxiv, observed 2026-08-10T17:21:49.687824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.016717Z digest=sha256:b1b3c15e2bef7a10e13ac03d66d55c1bcb3c2a8fb4c27a2bd9ebd070c9c7e314

Observation 3d3f6f07-01b0-45b6-943f-1bc2ca3c81e4 · outbound

This paper cites Estimating Jones and HOMFLY polynomials with One Clean Qubit.

A quantum algorithm for Khovanov homology Estimating Jones and HOMFLY polynomials with One Clean Qubit

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:21:49.715804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.011523Z digest=sha256:b4dec0a99810269c8ee5d5b89084122bf065ac32efcfd981f0fa5396e70e3252

Observation 25141953-86f0-432a-938b-60cb887af018 · outbound

This paper cites Khovanov homology and quantum error-correcting codes.

A quantum algorithm for Khovanov homology Khovanov homology and quantum error-correcting codes

Reference 48

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verified exact
raw_fallback, observed 2026-08-10T17:21:49.657412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.026745Z digest=sha256:346a1c8c697b9ee05377d7f3e4ed79e74c02e6b2ce9306195b7735be5bf8b067

Observation 4bb6d993-6431-4b27-93bd-96d53a888819 · outbound

This paper cites An application of Khovanov homology to quantum codes.

A quantum algorithm for Khovanov homology An application of Khovanov homology to quantum codes

Reference 49

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no resolver link, observed 2026-08-10T17:21:48.021490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.021490Z digest=sha256:720fee9f58b09a2dcf25fddc5bfd6751d26f9955d7a6dfd543d0cf824f66b374

Observation 5cdd2b2a-3d42-4e46-9698-1d7ce83ecc77 · outbound

This paper cites Kauffman.

A quantum algorithm for Khovanov homology Kauffman

Reference 50

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no resolver link, observed 2026-08-10T17:21:48.037634Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.037634Z digest=sha256:0b4853a832b531cebedba8254becb7840ef7ebd963abd23a16e6ea5ec275563f

Observation 1a7ebed3-f15e-43be-8e88-63da5444ab0f · outbound

This paper cites an unresolved cited work.

A quantum algorithm for Khovanov homology Unresolved cited work

Reference 51

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.032009Z digest=sha256:347fbcbf360e2a13603b073fa93cdc1d82b7cad17321bc1882be337799652834

Observation 4efcffd6-70e8-4937-bd41-10340ac3b4c7 · outbound

This paper cites A spanning tree expansion of the Jones polynomial.

A quantum algorithm for Khovanov homology A spanning tree expansion of the Jones polynomial

Reference 52

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source=pdf_text observed=2026-08-10T17:21:48.049216Z digest=sha256:86a66c90385fcaa13263f2d9cff83600e5fec974c0c55337f561ac3b7587f73d

Observation 0cc56e95-a416-4774-b6b5-4c01891ffda1 · outbound

This paper cites Jones polynomials and classical conjectures in knot theory.

A quantum algorithm for Khovanov homology Jones polynomials and classical conjectures in knot theory

Reference 53

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malformed identifier
no resolver link, observed 2026-08-10T17:21:48.043696Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.043696Z digest=sha256:9dff6909c57459c10465d7d8ec9536eb7111848a1301ffe89297e0b727486451

Observation ad983f2c-a578-47a8-922f-d2b220f0577e · outbound

This paper cites Categorification.

A quantum algorithm for Khovanov homology Categorification

Reference 54

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verified exact
doi, observed 2026-08-10T17:21:48.825207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.060360Z digest=sha256:c03bd886dbfc144d518ab7830670280db9fa29b58e42ad7fbb424e0f42366b7a

Observation ba9d0250-c758-4dd3-94a5-f14a4e230bcc · outbound

This paper cites Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases.

A quantum algorithm for Khovanov homology Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases

Reference 55

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no resolver link, observed 2026-08-10T17:21:48.054740Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.054740Z digest=sha256:d4b375027c812bef6f19218ea24264ab0a50e1098842d204c3e70a1fd6ce76a7

Observation ff9bab99-9290-4ed4-ae83-2d525de972ea · outbound

This paper cites An Invitation to Categorification.

A quantum algorithm for Khovanov homology An Invitation to Categorification

Reference 56

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.071086Z digest=sha256:aad69bf225d77831a219f9ad8a9782d6fcdbe6f6f16ad4242cf9f05242f9d068

Observation 63cffaec-e2b9-491c-9268-0d78967cd656 · outbound

This paper cites A brief review of abelian categorifications.

A quantum algorithm for Khovanov homology A brief review of abelian categorifications

Reference 57

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.065754Z digest=sha256:0ce90cafafc4193bcb281c85d45553f70180b8d79528d7f58aaac90cd928e0fd

Observation 4b7d189a-1a4d-4d71-8aa7-ba35a36510bb · outbound

This paper cites Khovanov module and the detection of unlinks.

A quantum algorithm for Khovanov homology Khovanov module and the detection of unlinks

Reference 58

Resolution
verified exact
doi, observed 2026-08-10T17:21:48.766940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.082300Z digest=sha256:0ebb4efea4ece578b08cf68e7e0c2000a1a5dd9b1de5b834be09d5e90310e7a8

Observation 737515a2-1ebb-4ee2-8ae4-3e4edee71ca7 · outbound

This paper cites Trace as an alternative decategorification functor.

A quantum algorithm for Khovanov homology Trace as an alternative decategorification functor

Reference 59

Resolution
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doi_truncated, observed 2026-08-10T17:21:48.792191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.076596Z digest=sha256:e3894219a01a525f6ce8f22b36ece9ca41addd7cd17c42ed364a39d036dbe04b

Observation 5516e6b4-2b8f-4f2f-ba67-08c313cdaef6 · outbound

This paper cites Khovanov homology detects the Hopf links.

A quantum algorithm for Khovanov homology Khovanov homology detects the Hopf links

Reference 60

Resolution
verified exact
doi, observed 2026-08-10T17:21:48.695148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.100825Z digest=sha256:07d91b6c7a8306af15522dc23480f8c601b954dbff7e5eb52474c126debfffd7

Observation a959724a-b755-4e1e-9e25-658feb6e697b · outbound

This paper cites Khovanov homology detects the figure-eight knot.

A quantum algorithm for Khovanov homology Khovanov homology detects the figure-eight knot

Reference 61

Resolution
verified exact
doi, observed 2026-08-10T17:21:48.667596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.106280Z digest=sha256:51ab622a99d9e69ee9f92d4c5fbf4e8b9dea021e031b3691bc3b4a9ed66dd453

Observation f3043caf-f29c-4c98-b812-23a3a23e7ea0 · outbound

This paper cites Khovanov homology detects the trefoils.

A quantum algorithm for Khovanov homology Khovanov homology detects the trefoils

Reference 62

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no resolver link, observed 2026-08-10T17:21:48.095152Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.095152Z digest=sha256:612539845ffa329443d2e3b6c98a10afb1b6989466d99d0be59c57629f8e6486

Observation f4e4d156-5f2c-4a8d-8f03-d98e9560fc4e · outbound

This paper cites Khovanov homology and exotic 4-manifolds.

A quantum algorithm for Khovanov homology Khovanov homology and exotic 4-manifolds

Reference 63

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source=pdf_text observed=2026-08-10T17:21:48.118233Z digest=sha256:8ef4762718f4f6a34aa3cc07833ea9e26ed75c4ca61dfb70fa1c39851997117e

Observation c068100f-3577-4663-9c89-3e83b1022972 · outbound

This paper cites Theorie der Normalfl¨ achen.

A quantum algorithm for Khovanov homology Theorie der Normalfl¨ achen

Reference 64

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source=pdf_text observed=2026-08-10T17:21:48.123525Z digest=sha256:6017fe4cc1080119ba31371fa3255e966e449f3659ea2d48ed8e9da011152b66

Observation 71210313-5106-4499-9cda-efd5d561d752 · outbound

This paper cites Khovanov homology and the slice genus.

A quantum algorithm for Khovanov homology Khovanov homology and the slice genus

Reference 65

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.112367Z digest=sha256:d9678317f1fe78bddc49b048c4683ff2e134166bae482c48df0d0e04f2f0a814

Observation 0f446922-429f-4457-bf95-40f90baaf0ca · outbound

This paper cites Knottedness is in NP, modulo GRH.

A quantum algorithm for Khovanov homology Knottedness is in NP, modulo GRH

Reference 66

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.135850Z digest=sha256:1f02fdd3d81db946e92a9b63254dfc746a3db1fe321676b097b0684f6b8e6e6a

Observation d06e5b48-41a9-43ca-9b17-d8994b84390b · outbound

This paper cites A polynomial upper bound on Reidemeister moves.

A quantum algorithm for Khovanov homology A polynomial upper bound on Reidemeister moves

Reference 67

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source=pdf_text observed=2026-08-10T17:21:48.141672Z digest=sha256:d331046acf3103bf70fb29f3ad82966cd2067fa8ce768bd9483c2e68262e9044

Observation df32e62e-9569-4a31-94cb-b0972ecac006 · outbound

This paper cites The computational complexity of knot and link problems.

A quantum algorithm for Khovanov homology The computational complexity of knot and link problems

Reference 68

Resolution
metadata mismatch
raw_fallback, observed 2026-08-10T17:21:49.468506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.129893Z digest=sha256:a879f9e4e3fe1904b1e0f6e3106d9b9b7c7090ca428e6fe93bf193443f824ffa

Observation 717fe705-8712-4302-9858-f2d25e9eb467 · outbound

This paper cites Quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors.

A quantum algorithm for Khovanov homology Quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors

Reference 69

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.153169Z digest=sha256:7722c1b28528c8d79b9a16f1f3b8d69be1bf3c2bd8471ade693c5bf3c985fbeb

Observation c2fed974-d960-49ac-9465-9e61221e6f3c · outbound

This paper cites Slow Mixing of Quantum Gibbs Samplers.

A quantum algorithm for Khovanov homology Slow Mixing of Quantum Gibbs Samplers

Reference 70

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verified exact
raw_fallback, observed 2026-08-10T17:21:49.338713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.158338Z digest=sha256:c7e3ef4d4d341b2780fea3b6c65d38eb3d5f58120ff1e385442bd7abbc43fd48

Observation eb3afee6-b099-43b5-a9db-af83d206ec07 · outbound

This paper cites Topological data analysis on noisy quantum computers.

A quantum algorithm for Khovanov homology Topological data analysis on noisy quantum computers

Reference 71

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.146988Z digest=sha256:0f2bd3d59afad6c88a23f5dde061ff6e61d68556df48bf08d035c5e6b44589bd

Observation bc163aa7-c572-4228-ae52-1bbf5ab7a907 · outbound

This paper cites Optimal Hamiltonian Simulation by Quantum Signal Processing.

A quantum algorithm for Khovanov homology Optimal Hamiltonian Simulation by Quantum Signal Processing

Reference 72

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source=pdf_text observed=2026-08-10T17:21:48.172498Z digest=sha256:e3abf09dc71316b02fac0bdfe78be51ccd647013548c5d03b12e87204371b72a

Observation e3577c66-a873-4b5e-b381-18dbccd2f51b · outbound

This paper cites Quantum complexity theory.

A quantum algorithm for Khovanov homology Quantum complexity theory

Reference 73

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.178229Z digest=sha256:734b0a09845223e6dc5f2f3ab6be9408cda77e2c622d3d7081e79513f0911c58

Observation 405ceb1c-1b65-4759-a0fc-446752b14824 · outbound

This paper cites Quantum Algorithm for Linear Systems of Equations.

A quantum algorithm for Khovanov homology Quantum Algorithm for Linear Systems of Equations

Reference 74

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no resolver link, observed 2026-08-10T17:21:48.165974Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.165974Z digest=sha256:e52be1f03791f1ada5b0d87b2abca691a159dc3428bc2b39c142ea2211238ead

Observation 28a352e2-3ce7-4ca9-9bbe-6c728f5def56 · outbound

This paper cites Complexity of simplicial homology and independence complexes of chordal graphs.

A quantum algorithm for Khovanov homology Complexity of simplicial homology and independence complexes of chordal graphs

Reference 75

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no resolver link, observed 2026-08-10T17:21:48.190524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.190524Z digest=sha256:e66094dd26018e4ee096207bd82b74db145f7f028e956bb82413ffda03c760fe

Observation ec870e9a-f42f-46a0-bfe6-803fecfbd117 · outbound

This paper cites Classical and quantum computa- tion.

A quantum algorithm for Khovanov homology Classical and quantum computa- tion

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:21:51.011948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.195883Z digest=sha256:038a593e32e93439a6c2b5f153cf65ad1e17bac0ba8ca01b617556ee8eb7a295

Observation 7814870d-eb49-49e0-b48f-bdd50ba8cd3c · outbound

This paper cites Quantum Computational Complexity.

A quantum algorithm for Khovanov homology Quantum Computational Complexity

Reference 77

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no resolver link, observed 2026-08-10T17:21:48.183947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:21:48.183947Z digest=sha256:65356a584a49aa85af0ed58591e04eb0715aea05ff583962dbca577c95762b85

Observation 3b12cebb-6851-4278-8edd-bba11b79ca6b · outbound

This paper cites Persistent Khovanov homology of tangles.

A quantum algorithm for Khovanov homology Persistent Khovanov homology of tangles

Reference 78

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source=pdf_text observed=2026-08-10T17:21:48.208841Z digest=sha256:bf21b815ee1dc1b39087f2f061eb29cd9e4488bcb5350d7633a1f26e871c464c

Observation 9862bdcf-49e6-4bd2-87a6-db3606140db8 · outbound

This paper cites Computing Betti numbers via combinatorial Laplacians.

A quantum algorithm for Khovanov homology Computing Betti numbers via combinatorial Laplacians

Reference 79

Resolution
verified exact
doi, observed 2026-08-10T17:21:48.630692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.214163Z digest=sha256:1eee42c4370c68b4e1034b5ba818905cd5bdd3264bc38271489f9bcf34254031

Observation 1732965c-f225-480c-aa9d-b4370587d8cd · outbound

This paper cites QMA-complete problems.

A quantum algorithm for Khovanov homology QMA-complete problems

Reference 80

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unresolved
no resolver link, observed 2026-08-10T17:21:48.202700Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.202700Z digest=sha256:f741f8741130d19a060ce37c03541b52fe629bb1bea7b7833e74e535a7b9ecff

Observation 3b1f6d52-935f-47e7-8734-b5a0d1ee340c · outbound

This paper cites Khovanov’s homology for tangles and cobordisms.

A quantum algorithm for Khovanov homology Khovanov’s homology for tangles and cobordisms

Reference 81

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source=pdf_text observed=2026-08-10T17:21:48.225136Z digest=sha256:8771b5cfae2d6b94499da5d40c0a9fcc68118a83404fbee7671bb42ae35c6f9b

Observation ead0cb48-25a8-49e7-9639-e2c73f430405 · outbound

This paper cites Categorification of the Jones-Wenzl projec- tors.

A quantum algorithm for Khovanov homology Categorification of the Jones-Wenzl projec- tors

Reference 82

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source=pdf_text observed=2026-08-10T17:21:48.230258Z digest=sha256:f537019f77de9badaedab39bee929c227cba0c30af71ca8e720a40e756a89e80

Observation e95d6d82-7380-48e8-830b-979794c62e9a · outbound

This paper cites The algebraic stability for persistent Laplacians.

A quantum algorithm for Khovanov homology The algebraic stability for persistent Laplacians

Reference 83

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.220055Z digest=sha256:09ee7fe00c009aa2abad07e29d84ddcd934e5739b8e86543297d5772d836e30d

Observation 726b6999-d522-45d8-97c4-bdd6ea232f1b · outbound

This paper cites an unresolved cited work.

A quantum algorithm for Khovanov homology Unresolved cited work

Reference 84

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.241496Z digest=sha256:5a5b82e7981c6ce70065a1e06259909d736359de97820acd83f4342ecd06f706

Observation 9d13644d-9b50-4fdf-a462-e9cb1309d903 · outbound

This paper cites KnotInfo: Table of Knot Invariants.

A quantum algorithm for Khovanov homology KnotInfo: Table of Knot Invariants

Reference 85

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source=pdf_text observed=2026-08-10T17:21:48.246973Z digest=sha256:2a13bfd29041b25eb5a91aa7ab57218c941eca32500e06a2b4c3331ec8f5df76

Observation b906aee5-c228-4793-abe0-01daab02e5dd · outbound

This paper cites URL: https://katlas.org/wiki/The_Mathematica_Package_KnotTheory.

A quantum algorithm for Khovanov homology URL: https://katlas.org/wiki/The_Mathematica_Package_KnotTheory

Reference 86

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source=pdf_text observed=2026-08-10T17:21:48.235478Z digest=sha256:a5966de08bb4739cb3f14f7a481f9fc5fd27c183fc58b18c3a5327c943191a4d

Observation a65d14cb-d121-44ec-af25-6472fd2e37c9 · outbound

This paper cites The first 1,701,936 knots.

A quantum algorithm for Khovanov homology The first 1,701,936 knots

Reference 87

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source=pdf_text observed=2026-08-10T17:21:48.259935Z digest=sha256:7d0996179e5d7f98f7f506bf6370ba4e9969d3dc56525eabd02c4c8ca6a1f308

Observation 582e92a2-0f8a-4466-83bc-f07c9595bc7c · outbound

This paper cites Enumeration of cospectral graphs.

A quantum algorithm for Khovanov homology Enumeration of cospectral graphs

Reference 88

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.265249Z digest=sha256:e1e7e05b2a1f6f5408d9ed7588f8ba8386a1966027fb9b519ddd204c3a52719d

Observation dae9dea5-34cf-4a38-bcf3-7c2f5b437d96 · outbound

This paper cites [Online; accessed 1.

A quantum algorithm for Khovanov homology [Online; accessed 1

Reference 89

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T17:21:48.253468Z digest=sha256:e45928995c02b8c77cd94579e7a54fd25728d066f611c1de9a0ed358907e76e5

Observation 7839c15f-a1fd-440e-8b6b-473ee7ec99f7 · outbound

This paper cites Brouwer and Willem H.

A quantum algorithm for Khovanov homology Brouwer and Willem H

Reference 90

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source=pdf_text observed=2026-08-10T17:21:48.281472Z digest=sha256:7ff71b8261ebd58a6acfd14efb4aed8c55cadeace6798091cf3964c73897bcf6

Observation d6492915-5063-41ab-9a90-79a725558c4d · outbound

This paper cites The complexity of computing the permanent.

A quantum algorithm for Khovanov homology The complexity of computing the permanent

Reference 91

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.287881Z digest=sha256:7ec2d07c521330d6c52a35a00bc4cff5c0297efe7e6cec1e53d42405040c8d42

Observation 462af39e-33fd-4622-83ae-7cdf4026a074 · outbound

This paper cites Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer.

A quantum algorithm for Khovanov homology Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer

Reference 92

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T17:21:48.294370Z digest=sha256:b2d1976f8d15dd4c11bf7693db532a81a299cdd9e16249c3ef38c2f66a8eee4c

Observation b704bdc3-1ef4-4516-99b6-307d48ea0c20 · outbound

This paper cites A characterization of the smallest eigenvalue of a graph.

A quantum algorithm for Khovanov homology A characterization of the smallest eigenvalue of a graph

Reference 93

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source=pdf_text observed=2026-08-10T17:21:48.275964Z digest=sha256:a29af678b1077054127156aa276770a740d900588bb466ecaf2bfb61242d45db

Observation b3567028-82ac-4b38-ba59-ea370a555a5d · outbound

This paper cites Quantum Metropolis Sampling.

A quantum algorithm for Khovanov homology Quantum Metropolis Sampling

Reference 94

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source=pdf_text observed=2026-08-10T17:21:48.312010Z digest=sha256:3e9b4ef6811673728ea1e306ea5ed0395650702d67c192c681a348f589697a7d

Observation eee0903c-e87a-4c9a-84e8-a05b41068999 · outbound

This paper cites Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States.

A quantum algorithm for Khovanov homology Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States

Reference 95

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source=pdf_text observed=2026-08-10T17:21:48.317834Z digest=sha256:8c491cd457c57883fa005401e5bfc8ea53fa3c5728758b402c7b07622782ef87

Observation a21151dc-39cc-4907-8029-6c9bd780241b · outbound

This paper cites Polynomial-Time Classical Simulation of Quantum Fer- romagnets.

A quantum algorithm for Khovanov homology Polynomial-Time Classical Simulation of Quantum Fer- romagnets

Reference 96

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source=pdf_text observed=2026-08-10T17:21:48.323092Z digest=sha256:39ad4430d834af60c3e72af810e20fb77b5973b26298c22eb39b6e7f2be60108

Observation cb87c806-d77b-4b7c-b513-68b5ba140b42 · outbound

This paper cites Quantum Computation and Quantum-State Engineering Driven by Dissipation.

A quantum algorithm for Khovanov homology Quantum Computation and Quantum-State Engineering Driven by Dissipation

Reference 97

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source=pdf_text observed=2026-08-10T17:21:48.300689Z digest=sha256:be020d1ddc9873c946f6b92d15f1442374d286a1800bd6eaa82b12d5001885c9

Observation da81b6c8-0eb8-42ac-a8b3-8f01c9d3729a · outbound

This paper cites Man and machine thinking about the smooth 4-dimensional Poincar´ e conjecture.

A quantum algorithm for Khovanov homology Man and machine thinking about the smooth 4-dimensional Poincar´ e conjecture

Reference 98

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source=pdf_text observed=2026-08-10T17:21:48.334505Z digest=sha256:7f23042babd8467a7724bcd409324e836cfc2851e57252e7269bd93e468be379

Observation 7e9fa6dd-24e5-49b3-bb1c-1bf1a77af724 · outbound

This paper cites From zero surgeries to candidates for exotic definite 4-manifolds.

A quantum algorithm for Khovanov homology From zero surgeries to candidates for exotic definite 4-manifolds

Reference 99

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source=pdf_text observed=2026-08-10T17:21:48.340712Z digest=sha256:c5811b454db82d31e66d988cd97e323b691ad6b4434a0591811ddb6ad41e0e4b

Observation bf43e558-d788-4f2a-9b61-9d894d2da63c · outbound

This paper cites Hopfological algebra and categorification at a root of unity: the first steps.

A quantum algorithm for Khovanov homology Hopfological algebra and categorification at a root of unity: the first steps

Reference 100

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source=pdf_text observed=2026-08-10T17:21:48.352560Z digest=sha256:3b9fade103ee93a78163b2b362833db01fa1de913d0493c99e22057c5e883e8e

Pith citing papers

Observation a3441576-7483-4eea-a1a0-34ab9a5ba178 · inbound

New aspects of quantum topological data analysis: Betti number estimation, and testing and tracking of homology and cohomology classes cites this paper.

New aspects of quantum topological data analysis: Betti number estimation, and testing and tracking of homology and cohomology classes A quantum algorithm for Khovanov homology

Reference 14

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arxiv_id, observed 2026-05-19T12:07:20.858264Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T12:06:38.050214Z digest=sha256:1b1b538b10759f4110cbbade0042618b9498a3f1515a6b57fe7b5c65c73b53a7

Observation b537ab9a-3239-4f45-8b06-eb458fab7da6 · inbound

Parkes transient events: II. Pulsar single pulses database containing raw data segment cites this paper.

Parkes transient events: II. Pulsar single pulses database containing raw data segment A quantum algorithm for Khovanov homology

Reference 14

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source=pdf_text observed=2026-08-05T18:37:39.638948Z digest=sha256:b5610632d5330c03c898bd79392a705d491680f490c9e426dbfa5c39e7d2c8a2

Observation f9b0307b-883f-4e5a-aed5-4d1284e13b66 · inbound

Khovanov homology of tangles: algorithm and computation cites this paper.

Khovanov homology of tangles: algorithm and computation A quantum algorithm for Khovanov homology

Reference 14

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source=arxiv_source observed=2026-08-05T18:38:32.421295Z digest=sha256:d01dd57445ff8fea7bf68a40f37eab2d2140ee109ed8651f36a59f8d070dd91a

Observation fe4dc564-d447-4c65-ba28-023a4a359318 · inbound

Digital Simulation of Non-Hermitian Knotted Bands on Quantum Hardware cites this paper.

Digital Simulation of Non-Hermitian Knotted Bands on Quantum Hardware A quantum algorithm for Khovanov homology

Reference 105

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source=pdf_text observed=2026-05-07T11:18:20.191222Z digest=sha256:7cb73438aecc764580b2e548e23b6976b34d715a3455718e0b713d1e2463996b

Observation 259389c8-ae79-4dec-8d9b-9c2936b173c0 · inbound

Khovanov homology: pro-tangles, derived colimits and spectral sequences cites this paper.

Khovanov homology: pro-tangles, derived colimits and spectral sequences A quantum algorithm for Khovanov homology

Reference 34

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arxiv_id, observed 2026-06-27T05:20:35.807027Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-27T05:16:01.777480Z digest=sha256:13d2c20f02fd7423514933e656415102e729069936c191e14a0ff81fece15138