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Paper Citation Record · LEDGER

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws

As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.09675.

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

pith.paper-citation-record.v1
2608.09675 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:05:38.507377Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f4578ab-f44e-4036-8e29-f588db2438ef · outbound

This paper cites Quantum algorithms for nonlinear partial differential equations,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum algorithms for nonlinear partial differential equations,

Reference 1

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Source-reported events for the cited work

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Observation c7994252-5639-48aa-967d-18ca9bdcba64 · outbound

This paper cites Courant and K.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Courant and K

Reference 2

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Observation 9da43425-e0df-4b2e-823f-3aca9342b93c · outbound

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An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Unresolved cited work

Reference 3

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This paper cites On kinematic waves. II. a theory of traffic flow on long crowded roads,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws On kinematic waves. II. a theory of traffic flow on long crowded roads,

Reference 4

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Source-reported events for the cited work

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Observation c2971c81-3ff6-44ef-97b7-24fac401ded0 · outbound

This paper cites Mechanism of fluid displacement in sands,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Mechanism of fluid displacement in sands,

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fa4d2fc5-cfa5-4bfe-ab5b-c95a6044714f · outbound

This paper cites an unresolved cited work.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Unresolved cited work

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 958b97eb-a012-4574-af9c-5aa1ce44dfe9 · outbound

This paper cites A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton–Jacobi equations,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton–Jacobi equations,

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 93e38acd-5d67-4c98-9d27-e4656e3db56f · outbound

This paper cites Efficient implementation of essentially non-oscillatory shock-capturing schemes,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Efficient implementation of essentially non-oscillatory shock-capturing schemes,

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b5245f3e-0cd4-4277-b842-785607c614b3 · outbound

This paper cites The Runge–Kutta discontinuous Galerkin method for conservation laws. V. multidimensional systems,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws The Runge–Kutta discontinuous Galerkin method for conservation laws. V. multidimensional systems,

Reference 9

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b328906c-c189-4790-892f-c1e177686021 · outbound

This paper cites Universal quantum simulators,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Universal quantum simulators,

Reference 10

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Observation 79d76d9b-fab1-4443-9f3b-2d7c9979a074 · outbound

This paper cites Simulating hamiltonian dynamics with a truncated Taylor series,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Simulating hamiltonian dynamics with a truncated Taylor series,

Reference 11

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Observation 2ce9f34e-9d14-49da-b34c-2e38b2458946 · outbound

This paper cites Optimal hamiltonian simulation by quantum signal processing,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Optimal hamiltonian simulation by quantum signal processing,

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 521358e2-a9cb-490f-ae4a-3c4e8b28880d · outbound

This paper cites Quantum simulation of partial differential equations via Schr¨ odingerization,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum simulation of partial differential equations via Schr¨ odingerization,

Reference 13

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1e4e7555-3b87-4027-975e-0576c172ed6a · outbound

This paper cites Quantum simulation of partial differential equations: Applications and detailed analysis,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum simulation of partial differential equations: Applications and detailed analysis,

Reference 14

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Observation fa1e9f75-0e97-4848-8e1a-59be14a5b8c6 · outbound

This paper cites Theory of Trotter error with commutator scaling,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Theory of Trotter error with commutator scaling,

Reference 15

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1ce6779d-52e8-427d-8ab6-f723a3e70af0 · outbound

This paper cites Trotter error with commutator scaling for the Fermi–Hubbard model,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Trotter error with commutator scaling for the Fermi–Hubbard model,

Reference 16

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Observation 52d8e8d8-6c2e-40c1-8349-46eb0999c874 · outbound

This paper cites Quantum algorithm for nonlinear differential equations.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum algorithm for nonlinear differential equations

Reference 17

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Source-reported events for the cited work

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Observation 1d2da2a4-bd58-40d7-a14b-a4152cbe5e72 · outbound

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

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws A quantum algorithm to solve nonlinear differential equations

Reference 18

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Unavailable: canonical work link unavailable.

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Observation 5963f795-8fcd-4d3d-bf7b-bca29039262c · outbound

This paper cites Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics,

Reference 19

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ad79f41a-98ff-47b7-a51b-30603e763e05 · outbound

This paper cites Hamiltonian simulation for hy- perbolic partial differential equations by scalable quantum circuits,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Hamiltonian simulation for hy- perbolic partial differential equations by scalable quantum circuits,

Reference 20

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Observation 99614497-1d3f-4ec7-9119-13fc5052a46c · outbound

This paper cites Quantum circuits for partial differential equations via Schr¨ odingerisation,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Quantum circuits for partial differential equations via Schr¨ odingerisation,

Reference 21

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Observation e0687129-d0ad-4033-8756-687a6ce476a1 · outbound

This paper cites Schr¨ odingerization based computationally stable algorithms for ill-posed problems in partial differential equations,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Schr¨ odingerization based computationally stable algorithms for ill-posed problems in partial differential equations,

Reference 22

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Observation 395c305b-d10d-4841-89ee-a605fc5c741a · outbound

This paper cites Unitarylab,.

An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws Unitarylab,

Reference 23

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