Paper Citation Record · LEDGER

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation

As of 10 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.07389.

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

pith.paper-citation-record.v1
2607.07389 v1

Coverage vector

measured 36 of 36 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-09T12:34:00.375655Z

measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

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Reference resolution

36 of 36 outbound references displayed

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verified fuzzy22
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External citation measurements

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Outbound references

Observation b7b9c2e3-998e-435d-bc4d-e48e43f1c5d6 · outbound

This paper cites High-order quantum algorithm for solving linear differential equations.Journal of Physics A: Mathematical and Theoretical, 47(10):105301, feb 2014.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation High-order quantum algorithm for solving linear differential equations.Journal of Physics A: Mathematical and Theoretical, 47(10):105301, feb 2014

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.053708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fe48a8bb-0181-4d12-bc9c-5b8cfb725202 · outbound

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

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Quantum algorithm for linear differential equations with exponentially improved dependence on precision

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-09T12:36:13.890693Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d502ab11-2283-4916-945d-60e09327d95f · outbound

This paper cites QuantumSpectralMethodsforDifferentialEquations.Commun.Math.Phys.,375(2):1427–1457,2020.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation QuantumSpectralMethodsforDifferentialEquations.Commun.Math.Phys.,375(2):1427–1457,2020

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.063354Z

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Observation 0f085866-65a0-4ea3-b6ed-7ed4f8808a80 · outbound

This paper cites Improved quantum algorithms for linear and nonlinear differential equations.Quantum, 7:913, February 2023.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Improved quantum algorithms for linear and nonlinear differential equations.Quantum, 7:913, February 2023

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.057865Z

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Observation 1d9205ee-49a3-4fba-a38d-01f5b1106aff · outbound

This paper cites Quantum algorithm for time-dependent differential equations using dyson series.Quantum, 8:1369, 2024.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Quantum algorithm for time-dependent differential equations using dyson series.Quantum, 8:1369, 2024

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.035723Z

Source-reported events for the cited work

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Observation a1028067-dca4-445a-9403-6c2d6955ce0c · outbound

This paper cites Fast-forwarding quantum algorithms for linear dissipative differential equations.Quantum, 10:1986, January 2026.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Fast-forwarding quantum algorithms for linear dissipative differential equations.Quantum, 10:1986, January 2026

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.049703Z

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Observation 2b24ba74-f8c0-4881-8588-56abe99cfeee · outbound

This paper cites Time-marching based quantum solvers for time-dependent linear differential equations.Quantum, 7:955, 2023.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Time-marching based quantum solvers for time-dependent linear differential equations.Quantum, 7:955, 2023

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.047032Z

Source-reported events for the cited work

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Observation 0af09c15-0d8a-4fe5-8322-1bb5218b15bb · outbound

This paper cites Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-09T12:36:13.871300Z

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Observation 292fc33f-c6bd-4f4b-9c79-d2c839aa2453 · outbound

This paper cites Linear combination of hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.Physical Review Letters, 131(15):150603.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Linear combination of hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.Physical Review Letters, 131(15):150603

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.045046Z

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Observation 3f54d75a-9584-412b-98f7-2dff8a5ab8d6 · outbound

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

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-09T12:36:13.869462Z

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Observation 2b31fe8a-032c-4fab-88f8-942b090a326f · outbound

This paper cites https://arxiv.org/abs/2312.03916.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation https://arxiv.org/abs/2312.03916

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-09T12:36:13.889712Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b05a8fea-f2e7-42e3-a71a-6a9e7a710978 · outbound

This paper cites Novikau and I.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Novikau and I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.051578Z

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Observation e5e2481b-090b-4a9c-aaeb-0c1e90344875 · outbound

This paper cites Pocrnic, P.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Pocrnic, P

Reference 13

Resolution: metadata mismatch; arxiv_id, observed 2026-07-09T12:36:13.884239Z

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Observation 7813658b-2586-45cc-85c3-4de112f109b5 · outbound

This paper cites Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics

Reference 14

Resolution: metadata mismatch; local_arxiv, observed 2026-07-09T12:36:13.874210Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 20017e45-2aaf-44bf-a72e-f9fdc33aa9de · outbound

This paper cites From linear differential equations to unitaries: A moment-matching dilation framework with near-optimal quantum algorithms.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation From linear differential equations to unitaries: A moment-matching dilation framework with near-optimal quantum algorithms

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.028929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a6e8f9b2-f6b4-40d9-95a5-02feb60afd51 · outbound

This paper cites Universal dilation of linear itô sdes: Quantum trajectories and lindblad simulation of second moments,.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Universal dilation of linear itô sdes: Quantum trajectories and lindblad simulation of second moments,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.065770Z

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Observation 50d6bf8b-1f7c-4ab6-841d-57916ec731d1 · outbound

This paper cites Quantumsimulationofpartialdifferentialequationsviaschrödingerization.PhysicalReviewLetters,133(23), December 2024.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Quantumsimulationofpartialdifferentialequationsviaschrödingerization.PhysicalReviewLetters,133(23), December 2024

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.041104Z

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Observation 38901113-b139-423e-a9e4-776769132a91 · outbound

This paper cites On the schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries, 2025.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation On the schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries, 2025

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-09T12:36:13.887112Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 565d80bc-9e15-4bc5-9e19-c37a4cb25808 · outbound

This paper cites Design nearly optimal quantum algorithm for linear differential equations via Lindbladians.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Design nearly optimal quantum algorithm for linear differential equations via Lindbladians

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-09T12:36:13.881100Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a92eed3b-580e-4372-b1ed-a395552192e1 · outbound

This paper cites Quantumeigenvalueprocessing.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Quantumeigenvalueprocessing

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.053132Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 98cb588f-1944-45be-812c-aed791cfd363 · outbound

This paper cites Qubit-Efficient Quantum Algorithm for Linear Differential Equations.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Qubit-Efficient Quantum Algorithm for Linear Differential Equations

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-09T12:36:13.895987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ddd73d57-3ed1-4646-9bc8-71cd351c8a74 · outbound

This paper cites Improved accuracy for trotter simulations using chebyshev interpolation.Quantum, 8:1266, February 2024.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Improved accuracy for trotter simulations using chebyshev interpolation.Quantum, 8:1266, February 2024

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.055345Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5bfedd42-f4f4-4cc3-83a5-e015b76f74f5 · outbound

This paper cites Exponentially Reduced Circuit Depths Using Trotter Error Mitigation.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Exponentially Reduced Circuit Depths Using Trotter Error Mitigation

Reference 23

Resolution: metadata mismatch; local_arxiv, observed 2026-07-09T12:36:13.877721Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3fd6a279-2b68-4ba7-bdea-ffdcd8c4219e · outbound

This paper cites Randomly Compiled Quantum Simulation with Exponentially Reduced Circuit Depths.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Randomly Compiled Quantum Simulation with Exponentially Reduced Circuit Depths

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-09T12:36:13.887100Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6ad241c9-1a06-4a34-b675-76e49cfbac4e · outbound

This paper cites DirectAnalysisofZero-NoiseExtrapolation:PolynomialMethods,ErrorBounds,andSimultaneous Physical-Algorithmic Error Mitigation.Quantum, 9:1909, November 2025.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation DirectAnalysisofZero-NoiseExtrapolation:PolynomialMethods,ErrorBounds,andSimultaneous Physical-Algorithmic Error Mitigation.Quantum, 9:1909, November 2025

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.057666Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d6246df-88f3-4226-85a9-17ee90a96111 · outbound

This paper cites Reducing circuit depth in lindblad simulation via step-size extrapolation, 2026.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Reducing circuit depth in lindblad simulation via step-size extrapolation, 2026

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-09T12:36:13.893160Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 81757109-039e-4f9f-af3a-3940308a2e89 · outbound

This paper cites Gambetta.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Gambetta

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.059341Z

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Observation 5f725fef-89ec-4444-ad4d-cb846b154c2c · outbound

This paper cites Benjamin.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Benjamin

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.067570Z

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Observation 1dd054a7-48a6-4574-8c8e-c5e0efa5f519 · outbound

This paper cites Benjamin, and Ying Li.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Benjamin, and Ying Li

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.051208Z

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Observation 0162c25c-80e0-49cc-8b57-1ee2210c7024 · outbound

This paper cites Benjamin, Suguru Endo, William J.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Benjamin, Suguru Endo, William J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.048839Z

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Observation b61f0a49-3dcd-424e-afa5-85a7a42187b0 · outbound

This paper cites Childs, Yuan Su, Minh C.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Childs, Yuan Su, Minh C

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.055524Z

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Observation 80ea6cbd-f814-4182-86a2-729df9e73240 · outbound

This paper cites Time-dependentunboundedHamiltoniansimulationwithvectornormscaling.Quantum,5:1–49,may2021.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Time-dependentunboundedHamiltoniansimulationwithvectornormscaling.Quantum,5:1–49,may2021

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.061493Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b5000aaa-2807-436f-a688-477ac3d26a9e · outbound

This paper cites Nonparametric estimators.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Nonparametric estimators

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.031152Z

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Observation 569d7100-58ad-484c-a884-338e143f15a8 · outbound

This paper cites Localizationtransitionsinnon-hermitianquantummechanics.Phys.Rev.Lett.,77:570–573,Jul1996.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Localizationtransitionsinnon-hermitianquantummechanics.Phys.Rev.Lett.,77:570–573,Jul1996

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:36:14.040763Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fccf9c0e-98ca-4615-8f5b-a8c4acb6f7d3 · outbound

This paper cites an unresolved cited work.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:36:14.042637Z

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Observation ad81ad30-22f5-400f-8cd5-6a9094b6470e · outbound

This paper cites an unresolved cited work.

Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:36:14.044734Z

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