Paper Citation Record · LEDGER

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices

As of 6 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.25812.

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pith.paper-citation-record.v1
2607.25812 v1

Coverage vector

measured 42 of 42 reference resolution

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation f2580b54-4959-40c5-bda3-a38523258462 · outbound

This paper cites Higham.Functions of Matrices: Theory and Computation.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Higham.Functions of Matrices: Theory and Computation

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.519306Z

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Observation 62601268-b47e-4f12-91ce-bb52c8ffbd02 · outbound

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

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum singular value transformation and beyond: Exponential improvements for quantum matrix arithmetics

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.524739Z

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Observation 8b7cce84-f42b-45d5-96a5-0fbf27e3f4bb · outbound

This paper cites Universal quantum simulators.Science, 273(5278):1073–1078, 1996.doi:10.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Universal quantum simulators.Science, 273(5278):1073–1078, 1996.doi:10

Reference 3

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Observation a51b8dd9-ea51-48fd-a9de-47feb38fc8d1 · outbound

This paper cites Childs and Nathan Wiebe.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Childs and Nathan Wiebe

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.536191Z

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Observation 086f4919-ac9e-49c5-bd05-c0bb075f19b4 · outbound

This paper cites Berry, Andrew M.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Berry, Andrew M

Reference 5

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Observation 7d9dab12-6e2f-4e7f-bba1-19b7442a3d5c · outbound

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Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 6

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Observation 99286971-74f6-4f93-abb8-f64bd07a8149 · outbound

This paper cites an unresolved cited work.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 7

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Observation 6a54ade9-badd-4b50-9d00-513854284325 · outbound

This paper cites Harrow, Avinatan Hassidim, and Seth Lloyd.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Harrow, Avinatan Hassidim, and Seth Lloyd

Reference 8

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Observation f9b0d3ba-edfd-42ec-beed-9fb98397cac6 · outbound

This paper cites Childs, Robin Kothari, and Rolando D.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Childs, Robin Kothari, and Rolando D

Reference 9

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Observation 8d4583ca-cacd-4306-ac2b-7d1a008609cc · outbound

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Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 10

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Observation ece6822a-ad4d-48ca-b60b-5d668448a605 · outbound

This paper cites an unresolved cited work.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 11

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Observation 08d62980-a55e-40db-b3ed-f16ffc0a7613 · outbound

This paper cites Berry, Andrew M.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Berry, Andrew M

Reference 12

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Observation b872dac8-552f-449c-aed4-bae88928933e · outbound

This paper cites Childs and Jin-Peng Liu.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Childs and Jin-Peng Liu

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-01T01:35:15.584650Z

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Observation b5a7e090-7f4b-4729-892c-16c2e1ae54ba · outbound

This paper cites Improved quantum algorithms for linear and nonlinear differential equations.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Improved quantum algorithms for linear and nonlinear differential equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.589376Z

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Observation f460d3ae-3f07-4581-b74f-0cc08568365b · outbound

This paper cites Time-marching based quantum solvers for time-dependent linear differential equations.Quantum, 7:955, 2023.doi:10.22331/q-2023-03-20-955.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Time-marching based quantum solvers for time-dependent linear differential equations.Quantum, 7:955, 2023.doi:10.22331/q-2023-03-20-955

Reference 15

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Observation 549191a4-c7f6-49e9-a32a-0e6423f7d189 · outbound

This paper cites Generalized quantum signal processing.PRX Quantum, 5:020368, 2024.doi:10.1103/PRXQuantum.5.020368.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Generalized quantum signal processing.PRX Quantum, 5:020368, 2024.doi:10.1103/PRXQuantum.5.020368

Reference 16

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Observation ba758f40-0e13-4c01-bd1e-87724528464a · outbound

This paper cites Quantum eigenvalue processing.SIAM Journal on Computing, 55(1):135–215, 2026.doi:10.1137/24M1689363.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum eigenvalue processing.SIAM Journal on Computing, 55(1):135–215, 2026.doi:10.1137/24M1689363

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.603551Z

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Observation 12c467ae-c378-4870-bb72-147330422249 · outbound

This paper cites Quantum Eigenvalue Transformations for Arbitrary Matrices.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum Eigenvalue Transformations for Arbitrary Matrices

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.608554Z

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Observation 2198b637-5f96-4f88-be54-de2f46c2c6a0 · outbound

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Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 19

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Observation 93d40856-e040-457b-9d83-4561fe42f837 · outbound

This paper cites Childs, and Lin Lin.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Childs, and Lin Lin

Reference 20

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Observation 8b1475da-eebd-4420-8da4-0a4583c38780 · outbound

This paper cites Optimal quantum simulation of linear non-unitary dynamics.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Optimal quantum simulation of linear non-unitary dynamics

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.624199Z

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Observation 7730b9de-c341-4c8a-993f-9a2a4ffca0d7 · outbound

This paper cites Childs, Lin Lin, and Lexing Ying.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Childs, Lin Lin, and Lexing Ying

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.629458Z

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Observation dc02c0cc-6b95-49d0-a6ba-f58cf3ba9b48 · outbound

This paper cites Fourier transform-based linear combination of Hamiltonian simulation.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Fourier transform-based linear combination of Hamiltonian simulation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.635370Z

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Observation f6f95709-b0c8-4268-9efd-e61d409f5680 · outbound

This paper cites Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.640945Z

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Observation 770455f9-2aa2-4e69-b6f8-a4a5530e4b72 · outbound

This paper cites Quantum simulation of partial differential equations via Schr¨ odingerization.Physical Review Letters, 133:230602, 2024.doi:10.1103/PhysRevLett.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum simulation of partial differential equations via Schr¨ odingerization.Physical Review Letters, 133:230602, 2024.doi:10.1103/PhysRevLett

Reference 25

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Observation bee16d27-4912-4765-bad3-a06c203b5826 · outbound

This paper cites Quantum simulation of partial differential equations: Appli- cations and detailed analysis.Physical Review A, 108:032603, 2023.doi:10.1103/PhysRevA.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum simulation of partial differential equations: Appli- cations and detailed analysis.Physical Review A, 108:032603, 2023.doi:10.1103/PhysRevA

Reference 26

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Observation bf6b6d3e-7c8f-4dc9-95d9-e6048c71993e · outbound

This paper cites Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra.Proceedings of the Royal Society A, 480:20230370, 2024.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra.Proceedings of the Royal Society A, 480:20230370, 2024

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.656171Z

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Observation 59a3aba3-65c6-47ac-b14e-ef95ec5035a3 · outbound

This paper cites Higham, and Lloyd N.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Higham, and Lloyd N

Reference 28

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Observation 1b90e9d4-857e-437d-ac80-120dc1115853 · outbound

This paper cites an unresolved cited work.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 29

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Observation 6f51d28a-f049-4aff-aa4c-7a25366c6972 · outbound

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Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 30

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Observation a801c068-fd41-4bf4-a261-83a5583e7af8 · outbound

This paper cites Contour-integral based quantum eigenvalue transformation: Anal- ysis and applications, 2026.arXiv:2601.11959.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Contour-integral based quantum eigenvalue transformation: Anal- ysis and applications, 2026.arXiv:2601.11959

Reference 31

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Observation 7a503c6a-fd3c-4c2d-a6f0-4438374c0f01 · outbound

This paper cites Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.681149Z

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Observation 1b9e854d-3845-40fc-acde-0bd0cb6d0ac7 · outbound

This paper cites The computation of functions of matrices by truncated Faber series.Numerical Functional Analysis and Optimization, 22(5–6):697–719, 2001.doi:10.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices The computation of functions of matrices by truncated Faber series.Numerical Functional Analysis and Optimization, 22(5–6):697–719, 2001.doi:10

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.686132Z

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Observation 598ee28a-d64f-481d-8326-b744c90dbe2d · outbound

This paper cites Trefethen.Approximation Theory and Approximation Practice.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Trefethen.Approximation Theory and Approximation Practice

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.690932Z

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Observation 5400f625-eec8-4d4d-b7a9-f75050fcacc5 · outbound

This paper cites The numerical range is a (1 + √ 2)-spectral set.SIAM Journal on Matrix Analysis and Applications, 38(2):649–655, 2017.doi:10.1137/17M1116672.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices The numerical range is a (1 + √ 2)-spectral set.SIAM Journal on Matrix Analysis and Applications, 38(2):649–655, 2017.doi:10.1137/17M1116672

Reference 35

Resolution: verified exact; doi, observed 2026-08-01T01:36:14.737748Z

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Observation 90e59ed7-bceb-43dd-85f1-5dcfb3f2024d · outbound

This paper cites Constants related to operators of classC ρ.Manuscripta Mathematica, 16(4):385–394, 1975.doi:10.1007/BF01323467.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Constants related to operators of classC ρ.Manuscripta Mathematica, 16(4):385–394, 1975.doi:10.1007/BF01323467

Reference 36

Resolution: verified exact; doi, observed 2026-08-01T01:36:14.505755Z

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Observation d49f697c-8690-4df2-bfd5-22522259bc1e · outbound

This paper cites Springer, New York, second edition, 2010.doi:10.1007/ 978-1-4419-6094-8.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Springer, New York, second edition, 2010.doi:10.1007/ 978-1-4419-6094-8

Reference 37

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Observation 267e4880-6583-434a-ae81-df31dd6483fd · outbound

This paper cites Quantum amplitude amplifi- cation and estimation.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum amplitude amplifi- cation and estimation

Reference 38

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Observation a1ff708b-00c2-4e38-afcd-eade998e7476 · outbound

This paper cites Grover’s quantum searching algorithm is optimal.Physical Review A, 60:2746– 2751, 1999.doi:10.1103/PhysRevA.60.2746.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Grover’s quantum searching algorithm is optimal.Physical Review A, 60:2746– 2751, 1999.doi:10.1103/PhysRevA.60.2746

Reference 39

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Observation 1f83fd44-fd15-47df-92d3-a62dc1bc2951 · outbound

This paper cites Quantum algorithms for solving generalized linear systems via momentum accelerated gradient and Schr¨ odingerization, 2025.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Quantum algorithms for solving generalized linear systems via momentum accelerated gradient and Schr¨ odingerization, 2025

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.719843Z

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Observation cc37afff-71d2-47f3-83db-f1d9c667fff3 · outbound

This paper cites an unresolved cited work.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Unresolved cited work

Reference 41

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Observation c959e333-5bae-4b09-bcf8-9c73cc75597f · outbound

This paper cites Kenney and Alan J.

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices Kenney and Alan J

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T01:35:15.730817Z

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