Paper Citation Record · LEDGER

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements

As of 17 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2501.15137.

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

pith.paper-citation-record.v1
2501.15137 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:43:21.562496Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:43:21.433582Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T06:34:19.372965Z

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy23
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a8f114d-a889-401f-aae0-056d007c3484 · outbound

This paper cites In 1980 Benioff and Manin.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements In 1980 Benioff and Manin

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.979422Z

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Observation 8b1cd036-29af-459f-9043-bb692fad5a75 · outbound

This paper cites Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b37f792-cadc-4291-91d2-bf3b85e0e09c · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.969765Z

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Observation 2f3f41c4-57ee-457c-98aa-befceedff966 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.960052Z

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Observation c9a508ac-62b8-4b8a-8cfc-9dc057533221 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.949996Z

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Observation 1e764277-4493-4a04-b9cd-57830f63e454 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.940588Z

Source-reported events for the cited work

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Observation b174ed4a-57ee-4777-ab85-91dc61e09689 · outbound

This paper cites This paper focuses on the core algorithm layer of quan- tum computers and aims to design a set of quantum cir- cuit schemes for implementing basic matrix operations.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements This paper focuses on the core algorithm layer of quan- tum computers and aims to design a set of quantum cir- cuit schemes for implementing basic matrix operations

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.929842Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 241e29b1-4ee8-4676-b3b2-b6f721ed80e5 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.920613Z

Source-reported events for the cited work

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Observation 27f59669-e431-4f11-82f8-0b22401b46a0 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.912482Z

Source-reported events for the cited work

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Observation 5f40d803-5494-4d29-9fee-0331fd6ba2c3 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.903754Z

Source-reported events for the cited work

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Observation 64b93743-0312-4d11-9202-b27d4fddffbf · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.893969Z

Source-reported events for the cited work

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Observation 8687cac7-5822-46f8-a71f-66bfdd65d8a8 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 12

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Source-reported events for the cited work

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Observation 6e3265b5-a0d6-47de-bdbf-6ff81a288dfc · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.874081Z

Source-reported events for the cited work

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Observation e0bb0845-8ee4-43cd-bc9b-4c73058aa66b · outbound

This paper cites Lecture notes on quantum computing.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Lecture notes on quantum computing

Reference 14

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Source-reported events for the cited work

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Observation 7d58c483-31c0-439b-81d6-8bc3da69886f · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.854452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c421652c-3e4b-4eaa-bb66-f65a2cbaf664 · outbound

This paper cites The operational mechanism of all these algorithms is as follows: First, construct the ini- tial state of the entire system.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements The operational mechanism of all these algorithms is as follows: First, construct the ini- tial state of the entire system

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.844459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7633416e-ec5c-4902-9274-869122e65adc · outbound

This paper cites The computer as a physical system: A micro- scopic quantum mechanical Hamiltonian model of comput- ers as represented by Turing machines.J.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements The computer as a physical system: A micro- scopic quantum mechanical Hamiltonian model of comput- ers as represented by Turing machines.J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.833474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 97b59391-91f1-4e31-93ca-be481d368ad5 · outbound

This paper cites Computable and noncomputable (in Russian).

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Computable and noncomputable (in Russian)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.823080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b3b6fce8-8f58-4e5f-84d8-8c381785aeba · outbound

This paper cites Quantum theory, the Church–Turing principle and the universal quantum computer.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum theory, the Church–Turing principle and the universal quantum computer

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.814223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 36a0c804-1766-4480-a5f7-8a9b5fad7f48 · outbound

This paper cites Algorithms for quantum computation: discrete logarithms and factoring.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Algorithms for quantum computation: discrete logarithms and factoring

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.805062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6dbee2ac-fcfc-4a51-b446-2b9130bf1138 · outbound

This paper cites Polynomialtime algorithms for prime factor- ization and discrete logarithms on a quantum computer.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Polynomialtime algorithms for prime factor- ization and discrete logarithms on a quantum computer

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.795304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c5b69737-a151-4cac-97ce-ddd90d011081 · outbound

This paper cites A fast quantum mechanical algorithm for database search.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements A fast quantum mechanical algorithm for database search

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.785442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5bddf2f8-b617-452e-a22f-e149b753b742 · outbound

This paper cites Quantum algorithm for linear systems of equations.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum algorithm for linear systems of equations

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.775695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3cf85368-0033-4c50-9c9a-215053bf5b02 · outbound

This paper cites The overall computational complexity of the algo- rithm is O(n), mainly determined by W (1) R2C2B1 and W (2) R1R2C2B2.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements The overall computational complexity of the algo- rithm is O(n), mainly determined by W (1) R2C2B1 and W (2) R1R2C2B2

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.864355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9bdaeaf3-386c-49a7-a9e5-7bdb09ef22a3 · outbound

This paper cites Preconditioned quantum linear system algorithm.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Preconditioned quantum linear system algorithm

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.765372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 11a25c50-632d-4e08-a0c0-e85f1c562192 · outbound

This paper cites Matrix multiplication via arithmetic progressions.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Matrix multiplication via arithmetic progressions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.755504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 81ccc00c-3331-43f7-8048-6f886e169bac · outbound

This paper cites Imple- mentation of the quantum Fourier transform.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Imple- mentation of the quantum Fourier transform

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.744465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ba12ba1-75d8-4719-bc2b-25db34ddbc1f · outbound

This paper cites Quantum Computation and Quan- tum Information.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum Computation and Quan- tum Information

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.733985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 15da9df7-3716-403c-8d36-8f7cd0b3ba8d · outbound

This paper cites Measurementbased quantum phase estimation algorithm for finding eigenvalues of non- unitary matrices.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Measurementbased quantum phase estimation algorithm for finding eigenvalues of non- unitary matrices

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.723900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 41752259-1f97-491f-9a0a-32e3746c1269 · outbound

This paper cites Low rank represen- tations for quantum simulation of electronic structure.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Low rank represen- tations for quantum simulation of electronic structure

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.713689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 910bf7a8-f406-4892-8d7a-b47c73e54f4d · outbound

This paper cites Quantum algorithms for linear algebra and machine learning.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum algorithms for linear algebra and machine learning

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.701858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 39855b76-7e96-4bc5-8db1-d1dc71cf7331 · outbound

This paper cites On the product of semi-groups of operators.P.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements On the product of semi-groups of operators.P

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.691387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 655765fe-e029-4000-8ae4-a8b1dd6c1150 · outbound

This paper cites Quantumassisted Gaussian process regression.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantumassisted Gaussian process regression

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.680497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation baa0e46a-d485-46cf-a1bc-43b12d69491b · outbound

This paper cites Computing scalar products via a twoterminal quantum transmission line.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Computing scalar products via a twoterminal quantum transmission line

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.670720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cab097a4-219e-4e4a-9701-3e1553651e08 · outbound

This paper cites an unresolved cited work.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:43:21.660630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 99493d86-b567-4e7e-ab1f-c4b4a90f1f0b · outbound

This paper cites Quantum Inf.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum Inf

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.650269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4e5454dd-45b3-4472-9ce5-3a0526a1289f · outbound

This paper cites Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantum algorithms for calculating determinant and inverse of matrix and solving linear algebraic systems

Reference 37

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T14:43:21.608924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ac1e79bb-b083-448d-a7a2-092cfce57e9e · outbound

This paper cites Quantumly controlled measurement, Hermitian conjugation and normalization in matrix-manipulation algorithms.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements Quantumly controlled measurement, Hermitian conjugation and normalization in matrix-manipulation algorithms

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T14:43:21.558932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f6fcae6-2b45-4495-bc19-dc19b41c864d · outbound

This paper cites APPENDIX 1.

Quantum Algorithms for Matrix Operations Based on Unitary Transformations and Ancillary State Measurements APPENDIX 1

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:43:21.639901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 8b1cd036-29af-459f-9043-bb692fad5a75 · inbound