Paper Citation Record · LEDGER

Matrix Inversion by Quantum Walk

As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2508.06611.

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

pith.paper-citation-record.v1
2508.06611 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:54:35.253116Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:33:52.317903Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy10
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95e77bbc-afee-494c-9393-1fcb22e40ed6 · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.550468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bd1df03a-86e8-4cdf-861f-0fd39242b343 · outbound

This paper cites Quantum support vector machine for big data classification.

Matrix Inversion by Quantum Walk Quantum support vector machine for big data classification

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.171541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25955cac-8d00-4e63-a49f-b49af2eb206a · outbound

This paper cites A quantum algorithm to solve nonlinear differential equations.

Matrix Inversion by Quantum Walk A quantum algorithm to solve nonlinear differential equations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.175134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de4e0205-f565-452c-99ce-e07833ebb02e · outbound

This paper cites High-order quantum algorithm for solving linear differential equations.

Matrix Inversion by Quantum Walk High-order quantum algorithm for solving linear differential equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.178287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e88e310-62b5-4cfe-8b85-dba1b289a414 · outbound

This paper cites Quantum algorithms and the finite element method.

Matrix Inversion by Quantum Walk Quantum algorithms and the finite element method

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.181718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe9abd67-fbaa-42ca-abc1-2ce218e8f9ab · outbound

This paper cites Wiebe, D.

Matrix Inversion by Quantum Walk Wiebe, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.541783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d6275dfd-8d5f-4ed6-bc4d-cd51bd1e4286 · outbound

This paper cites Baskaran, A.

Matrix Inversion by Quantum Walk Baskaran, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.533324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ccac7cf7-7a14-4caf-be9d-4be277442567 · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.525158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef182d63-696f-4bb5-b57c-f6eb88b6c2fe · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.515860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0c272070-ecd7-44e7-9614-0156f5bed350 · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.507020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 46057f30-8984-4e44-8402-bea655c94eed · outbound

This paper cites Quantum algorithm for systems of linear equations with exponentially improved dependence on precision.

Matrix Inversion by Quantum Walk Quantum algorithm for systems of linear equations with exponentially improved dependence on precision

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.199439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7d71c2c-6e6b-40bf-b5ca-ceb3d2732263 · outbound

This paper cites Farhi and S.

Matrix Inversion by Quantum Walk Farhi and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.498661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3cc3b27b-cf92-44d7-8869-68b4adea3f88 · outbound

This paper cites Farhi, J.

Matrix Inversion by Quantum Walk Farhi, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.489937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 16c39cb7-43cb-4451-ba28-93d27023947a · outbound

This paper cites Ambainis, A.

Matrix Inversion by Quantum Walk Ambainis, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.481256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6bf1a6a7-f790-4788-aed0-872f53180d7c · outbound

This paper cites Exponential algorithmic speedup by quantum walk.

Matrix Inversion by Quantum Walk Exponential algorithmic speedup by quantum walk

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:54:35.339879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2a4d685b-935b-4028-abe1-e7e2888ff1f0 · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.473049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fbec1187-dd3b-4481-9458-b4c6ef1332a8 · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.216098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59c3b856-874f-47de-8576-2f21f8af748f · outbound

This paper cites Aaronson, Read the fine print, Nature Phys 11, 291 (2015).

Matrix Inversion by Quantum Walk Aaronson, Read the fine print, Nature Phys 11, 291 (2015)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.459301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6f505784-b158-46ce-80d8-a6dbed7fd3bb · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.221080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe66e357-6b2d-47fb-9615-5ef4b02f33b6 · outbound

This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.

Matrix Inversion by Quantum Walk Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.223636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b753643-c076-45d0-abe8-ad8e44e74751 · outbound

This paper cites Hamiltonian simulation with nearly optimal dependence on all parameters.

Matrix Inversion by Quantum Walk Hamiltonian simulation with nearly optimal dependence on all parameters

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.226570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68b1ed13-4298-486d-b4c7-3234ff3a0636 · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.450751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ae0eabef-5a07-47ec-bbb9-1648676a04f8 · outbound

This paper cites Quantum Amplitude Amplification and Estimation.

Matrix Inversion by Quantum Walk Quantum Amplitude Amplification and Estimation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.231924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcc681e1-71bb-411d-b632-d989ecff6a89 · outbound

This paper cites Kay and C.

Matrix Inversion by Quantum Walk Kay and C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.442027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0756e180-8308-41ef-8ee0-2d8228d8c5b0 · outbound

This paper cites Kay, A Review of Perfect State Transfer and its Appli- cation as a Constructive Tool, Int.

Matrix Inversion by Quantum Walk Kay, A Review of Perfect State Transfer and its Appli- cation as a Constructive Tool, Int

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.431743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f19d37d6-1c8a-4a76-9e84-76abdc4fbeda · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.422554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a29ce8c-8332-4dc7-aed4-27c87fe9dd4c · outbound

This paper cites an unresolved cited work.

Matrix Inversion by Quantum Walk Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T22:54:35.413855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7aecfba7-c4aa-430d-ac07-3f82475bc681 · outbound

This paper cites Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings.

Matrix Inversion by Quantum Walk Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:54:35.301100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a9fd7ea3-d7cd-4b98-a74d-973a5144e52b · outbound

This paper cites Universal computation by multi-particle quantum walk.

Matrix Inversion by Quantum Walk Universal computation by multi-particle quantum walk

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T22:54:35.247838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cc53479-590c-4ad8-bebe-37f8efc8f40e · outbound

This paper cites This choice of spectrum has implications for ∥˜h∥, which needs renormalising, and will therefore impact the evolution time of the Hamiltonian simulation.

Matrix Inversion by Quantum Walk This choice of spectrum has implications for ∥˜h∥, which needs renormalising, and will therefore impact the evolution time of the Hamiltonian simulation

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.405312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5fbc01b-729b-4255-9f8a-239864f629c4 · outbound

This paper cites Kato, Perturbation Theory for Linear Operators, Clas- sics in Mathematics, Vol.

Matrix Inversion by Quantum Walk Kato, Perturbation Theory for Linear Operators, Clas- sics in Mathematics, Vol

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T22:54:35.396360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 72600c17-9b8b-4756-b7f1-cf9ab92372a2 · inbound

Quantum circuit model for continuous-time quantum walks on random graphs cites this paper.

Quantum circuit model for continuous-time quantum walks on random graphs Matrix Inversion by Quantum Walk

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-04T09:33:52.317903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.