Paper Citation Record · LEDGER

Optimal quantum simulation of linear non-unitary dynamics

As of 7 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 21 inbound Pith citation observations for arXiv:2508.19238.

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

pith.paper-citation-record.v1
2508.19238 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:56:00.121482Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 21 of 21 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:47:41.039621Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

19 of 19 outbound references displayed

verified exact2
verified fuzzy1
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation d1ba4c81-e978-407c-9d7f-75d60027b96f · outbound

This paper cites Childs, and Lin Lin.

Optimal quantum simulation of linear non-unitary dynamics Childs, and Lin Lin

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.027326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4bdf5ff-cb1c-4a69-a9e3-caa9473b1d5d · outbound

This paper cites An adversary bound for quantum signal processing.

Optimal quantum simulation of linear non-unitary dynamics An adversary bound for quantum signal processing

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-05T15:56:00.772310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a293bf4a-82dc-4cb9-9067-223b4e11aaba · outbound

This paper cites FromLinearDifferentialEquationstoUnitaries: AMoment-MatchingDila- tion Framework with Near-Optimal Quantum Algorithms.arXiv preprint: 2507.10285,.

Optimal quantum simulation of linear non-unitary dynamics FromLinearDifferentialEquationstoUnitaries: AMoment-MatchingDila- tion Framework with Near-Optimal Quantum Algorithms.arXiv preprint: 2507.10285,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.076170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d44bd1a-0bfb-42d0-9fcb-75a0117233e0 · outbound

This paper cites Fast quantum simulation of electronic structure by spectrum amplification.arXiv preprint arXiv:2502.15882,.

Optimal quantum simulation of linear non-unitary dynamics Fast quantum simulation of electronic structure by spectrum amplification.arXiv preprint arXiv:2502.15882,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.080980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0c6c5c9-7887-4d07-b0db-35bc4d58db12 · outbound

This paper cites Quantum eigenvalue processing.

Optimal quantum simulation of linear non-unitary dynamics Quantum eigenvalue processing

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:56:01.043849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 32a55ccf-8bed-4d53-8932-f738312e0ba3 · outbound

This paper cites Quantum linear system algorithm with optimal queries to initial state preparation.arXiv preprint arXiv:2410.18178,.

Optimal quantum simulation of linear non-unitary dynamics Quantum linear system algorithm with optimal queries to initial state preparation.arXiv preprint arXiv:2410.18178,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.090201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd788aba-c887-4950-840b-7a8f82014b01 · outbound

This paper cites Quantum state preparation without coherent arithmetic.

Optimal quantum simulation of linear non-unitary dynamics Quantum state preparation without coherent arithmetic

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.099348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d022a83e-2d0d-4fc8-a1cc-d5d55ffe318a · outbound

This paper cites an unresolved cited work.

Optimal quantum simulation of linear non-unitary dynamics Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:56:01.029013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd551d0d-891c-45b5-8c66-4e68c3f58ad0 · outbound

This paper cites Johnson, Amara Katabarwa, and Nathan Wiebe.

Optimal quantum simulation of linear non-unitary dynamics Johnson, Amara Katabarwa, and Nathan Wiebe

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.108568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce3f50e5-deaa-4ae5-b860-2596671b1696 · outbound

This paper cites an unresolved cited work.

Optimal quantum simulation of linear non-unitary dynamics Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.117199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 995e08dc-977d-4c8e-a029-913886026b1b · outbound

This paper cites Quantum algorithm for linear matrix equations.

Optimal quantum simulation of linear non-unitary dynamics Quantum algorithm for linear matrix equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.121482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72484aeb-39b2-41cb-974c-9f1c9a7a6881 · outbound

This paper cites Design nearly optimal quantum algorithm for linear differential equations via Lindbladians.arXiv preprint arXiv:2410.19628,.

Optimal quantum simulation of linear non-unitary dynamics Design nearly optimal quantum algorithm for linear differential equations via Lindbladians.arXiv preprint arXiv:2410.19628,

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.112792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9dfec107-b1e2-4118-b1eb-12d192514e37 · outbound

This paper cites Quantum simulation with sum-of-squares spectral amplification.

Optimal quantum simulation of linear non-unitary dynamics Quantum simulation with sum-of-squares spectral amplification

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.059177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4cdc764-aee9-49be-8e0c-f7420d56db59 · outbound

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

Optimal quantum simulation of linear non-unitary dynamics Fourier transform-based linear combination of Hamiltonian simulation

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.042341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56bbe1e9-2f5d-4322-9209-021449d565e1 · outbound

This paper cites Hamiltonian Simulation in the Interaction Picture.

Optimal quantum simulation of linear non-unitary dynamics Hamiltonian Simulation in the Interaction Picture

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.094649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87eda75b-e9a7-49a5-90d8-89ab321e4fc6 · outbound

This paper cites Hamiltonian Simulation by Uniform Spectral Amplification.

Optimal quantum simulation of linear non-unitary dynamics Hamiltonian Simulation by Uniform Spectral Amplification

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.071392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca135487-2311-45a0-90b4-8b5e6f71449c · outbound

This paper cites Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation.

Optimal quantum simulation of linear non-unitary dynamics Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.035476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48b85b2c-42e2-4eae-ab0e-170b906b1c34 · outbound

This paper cites Saddle-point integration of $C_\infty$ "bump" functions.

Optimal quantum simulation of linear non-unitary dynamics Saddle-point integration of $C_\infty$ "bump" functions

Reference 2024

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:56:00.806989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 821bf5a3-bb24-4261-adc2-380c11ffa702 · outbound

This paper cites On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries.arXiv preprint: 2505.00370,.

Optimal quantum simulation of linear non-unitary dynamics On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries.arXiv preprint: 2505.00370,

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-05T15:56:00.048221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 71fa77c9-1dc7-410a-b260-f94192e45cae · inbound

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs cites this paper.

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs Optimal quantum simulation of linear non-unitary dynamics

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-04T21:47:41.039621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6575496a-e921-406c-a65b-7a646f5af7b3 · inbound

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition cites this paper.

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition Optimal quantum simulation of linear non-unitary dynamics

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-17T22:35:25.121514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 560e0adf-3d47-4894-b957-1229db9deea3 · inbound

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition cites this paper.

Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition Optimal quantum simulation of linear non-unitary dynamics

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T22:39:58.880582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d52aa3af-98c1-44cd-a23b-0deb5f763923 · inbound

Explicit block-encoding for partial differential equation-constrained optimization cites this paper.

Explicit block-encoding for partial differential equation-constrained optimization Optimal quantum simulation of linear non-unitary dynamics

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-03T21:47:34.350146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2292af6e-579d-49d1-911c-d80986299e33 · inbound

Transmutation based Quantum Simulation for Non-unitary Dynamics cites this paper.

Transmutation based Quantum Simulation for Non-unitary Dynamics Optimal quantum simulation of linear non-unitary dynamics

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T12:31:26.933106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 364d9a1e-23d6-430d-bf83-9e38569e41d3 · inbound

Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation cites this paper.

Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation Optimal quantum simulation of linear non-unitary dynamics

Reference 73

Resolution: verified exact; arxiv_id, observed 2026-05-21T13:54:11.539818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8e975470-6ac2-4491-9230-367e254f2957 · inbound

A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations cites this paper.

A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations Optimal quantum simulation of linear non-unitary dynamics

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-13T20:03:12.070939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0b01c4f-5449-4af5-ab65-9ab71f397d06 · inbound

Theory of Quantum Imaginary-Time Mpemba Effect cites this paper.

Theory of Quantum Imaginary-Time Mpemba Effect Optimal quantum simulation of linear non-unitary dynamics

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-10T06:06:18.899918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c41244ac-2777-4941-8fed-9364541b9dba · inbound

Quantum Eigenvalue Transformations for Arbitrary Matrices cites this paper.

Quantum Eigenvalue Transformations for Arbitrary Matrices Optimal quantum simulation of linear non-unitary dynamics

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-10T03:08:59.155799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c650580-5bd1-462c-a87e-b6552896fba3 · inbound

Quantum algorithm for solving high-dimensional linear stochastic differential equations via amplitude encoding of the noise term cites this paper.

Quantum algorithm for solving high-dimensional linear stochastic differential equations via amplitude encoding of the noise term Optimal quantum simulation of linear non-unitary dynamics

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:46:48.968011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 41d7fb7f-f4b2-4fc1-969e-06b716693287 · inbound

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems cites this paper.

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems Optimal quantum simulation of linear non-unitary dynamics

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-20T17:58:49.966120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e55bf941-bd43-4d45-a000-1f3f7e79ec43 · inbound

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems cites this paper.

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems Optimal quantum simulation of linear non-unitary dynamics

Reference 89

Resolution: verified exact; arxiv_id, observed 2026-05-20T17:58:49.412533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 35c4afed-4d1f-442f-8246-742898a1dda2 · inbound

Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS cites this paper.

Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS Optimal quantum simulation of linear non-unitary dynamics

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-19T22:43:14.981845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9df95ac9-9a61-47f6-aaee-ab4fe45835ba · inbound

Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schr\"odingerization cites this paper.

Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schr\"odingerization Optimal quantum simulation of linear non-unitary dynamics

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:03:31.773172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f4024a8-4c76-4f56-ad9a-3f7001441d28 · inbound

Improved sample complexity bound for sample-based Lindbladian simulation cites this paper.

Improved sample complexity bound for sample-based Lindbladian simulation Optimal quantum simulation of linear non-unitary dynamics

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:13:30.623323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 317a7aab-d952-4fd4-8617-25d52faa8240 · inbound

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions cites this paper.

Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Optimal quantum simulation of linear non-unitary dynamics

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-02T03:46:32.243483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5cc35149-426c-43f5-abfe-013177a6bb74 · inbound

Quantum algorithms for stochastic nonlinear differential equations cites this paper.

Quantum algorithms for stochastic nonlinear differential equations Optimal quantum simulation of linear non-unitary dynamics

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-07-02T22:07:25.887430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5185a0c1-a3fd-47ee-87b5-b8bbdee4535e · inbound

Linear Combination of Hamiltonian Simulation with Commutator Scaling cites this paper.

Linear Combination of Hamiltonian Simulation with Commutator Scaling Optimal quantum simulation of linear non-unitary dynamics

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-07-03T05:57:41.898289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7721382c-e4ff-4a9f-95e8-c40fceb354fe · inbound

From Meta Idea to Advanced Mathematical Discovery -- Human-AI Co-Discovery of Sign-Embedding Quantum Algorithms cites this paper.

From Meta Idea to Advanced Mathematical Discovery -- Human-AI Co-Discovery of Sign-Embedding Quantum Algorithms Optimal quantum simulation of linear non-unitary dynamics

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:10:34.823791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1fe50281-3cdd-459d-a878-10d787047035 · inbound

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

Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach Optimal quantum simulation of linear non-unitary dynamics

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-06-30T06:14:18.950083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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

Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.