Paper Citation Record · LEDGER

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2505.01271.

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

pith.paper-citation-record.v1
2505.01271 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T12:15:04.051665Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 8fe169e8-1200-4ea7-b5ce-874e5298c15a · outbound

This paper cites In addition, we have designe d a unique collision operator for linear equilibrium distrib ution function—which only requires local unitary operations(LU O) to achieve the goal.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model In addition, we have designe d a unique collision operator for linear equilibrium distrib ution function—which only requires local unitary operations(LU O) to achieve the goal

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.829624Z

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Observation 28638ef3-09c3-4ef4-a881-1c53e4eeab6d · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 2

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Observation 8f1fe615-b61b-4cce-9653-f61f806316b5 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.815403Z

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Observation 02f4312e-1f11-40d6-bebe-213d5151c223 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.802912Z

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Observation b466024c-0893-4491-89fb-830540d8da83 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.777818Z

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Observation 76f847a3-8b14-4492-896a-11fb8bb49697 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.765029Z

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Observation 1c871c44-3b65-438f-bc4f-e7cc1e3256d1 · outbound

This paper cites Shor, Polynomial-Time Algorithms for Prime Factoriz a- tion and Discrete Logarithms on a Quantum Computer, SIAM Journal on Computing, 26, 1484(1997).

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Shor, Polynomial-Time Algorithms for Prime Factoriz a- tion and Discrete Logarithms on a Quantum Computer, SIAM Journal on Computing, 26, 1484(1997)

Reference 7

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Observation e96b44ad-c884-40ee-ac44-31a84b882d7f · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.733522Z

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Observation aa228207-6b3e-4139-958f-31b49235a4e4 · outbound

This paper cites The cilli- sion operator (H ⊗I)(|0⟩⟨0|a ⊗C1 + |1⟩⟨1|a ⊗C2)(H ⊗I) (A2) whereC1 =A +i √ I −A2,C2 =A −i √ I −A2.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model The cilli- sion operator (H ⊗I)(|0⟩⟨0|a ⊗C1 + |1⟩⟨1|a ⊗C2)(H ⊗I) (A2) whereC1 =A +i √ I −A2,C2 =A −i √ I −A2

Reference 9

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Observation f68e6628-a7c9-41b9-9601-41b6e3430d92 · outbound

This paper cites Appendix C: Probability Analysis In this section, we will discuss the probability of register q collapsing to 0 string through measurement.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Appendix C: Probability Analysis In this section, we will discuss the probability of register q collapsing to 0 string through measurement

Reference 10

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Observation 15891857-b336-44fc-8cc7-6b8309798652 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.674648Z

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Observation 56f475bf-ab1a-4df8-a1a4-bbb9a26b965c · outbound

This paper cites The above is a rigorous mathematical derivation, and when we combine it with practical situations, we will ﬁnd that some situations may not occur.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model The above is a rigorous mathematical derivation, and when we combine it with practical situations, we will ﬁnd that some situations may not occur

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.658736Z

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Observation 3de78a0f-b24e-4166-b08b-43dd3c69e4c3 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.642514Z

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Observation 115c0c24-c357-40d4-b470-1107798ce89d · outbound

This paper cites Arute, K.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Arute, K

Reference 14

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Observation 0554506e-8484-4161-b0a2-1fb895367c5c · outbound

This paper cites Bharti, A.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Bharti, A

Reference 15

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Observation b6da51b7-b7be-47e8-8a3b-8dd4c01c423f · outbound

This paper cites Boixo, S.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Boixo, S

Reference 16

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Observation 9a0da418-50ae-49ef-82c9-3567aaf338c0 · outbound

This paper cites Schuld and N.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Schuld and N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.578620Z

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Observation 137b52d4-17bd-4003-9212-07c989ec5f7e · outbound

This paper cites Havl´ ıˇ cek, A.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Havl´ ıˇ cek, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.563372Z

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Observation db773783-b491-4b6d-8aff-74e08e00e1b8 · outbound

This paper cites Wawrzyniak, J.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Wawrzyniak, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.392675Z

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Observation 26366b4b-5560-4e9c-a23c-ed7a93664402 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T12:15:03.956387Z

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Unavailable: canonical work link unavailable.

Observation aae302be-84dd-42a8-b8e6-bee1c90ce1bd · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.526366Z

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Observation 29babbf8-c07c-4048-abe7-e4893301d78b · outbound

This paper cites John, Quantum Computing in the NISQ era and beyond.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model John, Quantum Computing in the NISQ era and beyond

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.513200Z

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Observation 0395cdb1-c80c-4d5b-8542-0d246f241132 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.499662Z

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Observation abeb267a-f446-41ab-8b2c-0a77809afdaf · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.487094Z

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Observation 78d83505-9249-457c-a2e4-73b4a11e3d90 · outbound

This paper cites Benzi, S.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Benzi, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.474328Z

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Observation 6aaa0f10-c52c-47bc-9246-45ef52edd2e7 · outbound

This paper cites Chen, and D.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Chen, and D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.460194Z

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Observation 939a2881-e2af-4711-8e9a-63bf311da914 · outbound

This paper cites Todorova and R.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Todorova and R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.448015Z

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Observation 9f9aeca6-4a08-4566-9382-08bb9d5919ee · outbound

This paper cites Budinski, Quantum algorithm for the advection-diff usion equation simulated with the lattice Boltzmann method.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Budinski, Quantum algorithm for the advection-diff usion equation simulated with the lattice Boltzmann method

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.435915Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1401699e-4725-4b41-aee8-33345c6d449f · outbound

This paper cites Budinski, Quantum algorithm for the Navier- Stokes equations by using the streamfunction-vorticity formulation and the lattice Boltzmann method.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Budinski, Quantum algorithm for the Navier- Stokes equations by using the streamfunction-vorticity formulation and the lattice Boltzmann method

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.422251Z

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Observation 5f7003cb-b7ae-4f7c-acf5-6ae05a34ebd7 · outbound

This paper cites Itani, and S.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Itani, and S

Reference 30

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Observation 382508a0-8bfc-4590-9bc4-2bc033698da7 · outbound

This paper cites Itani, K.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Itani, K

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.376997Z

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Observation 4e8f6ca8-3354-4b3d-a95f-87cd5b61d953 · outbound

This paper cites Unitary Quantum Algorithm for the Lattice-Boltzmann Method.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unitary Quantum Algorithm for the Lattice-Boltzmann Method

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:15:04.277643Z

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Observation 5bc20910-f637-40da-af54-5ade9a87827f · outbound

This paper cites A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:15:04.257721Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3666e02d-f4d3-43f0-99e4-5e317ab78576 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.360728Z

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Observation 9d9e7631-5029-4e2e-9790-7dd502198769 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.343675Z

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Observation 7035681d-5de5-4a67-bd40-8e65da9a483d · outbound

This paper cites Demirdjian, D.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Demirdjian, D

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.326217Z

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Observation a86cc8bc-78f5-4313-9dbe-e4d0a1368736 · outbound

This paper cites Creating superpositions that correspond to efficiently integrable probability distributions.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Creating superpositions that correspond to efficiently integrable probability distributions

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T12:15:04.041532Z

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Unavailable: canonical work link unavailable.

Observation 72574f6b-054e-417c-8b3f-95a5a7cf7432 · outbound

This paper cites an unresolved cited work.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.310711Z

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Observation 67b21a78-522a-4693-9526-0f17ca4d0b15 · outbound

This paper cites Huang, R.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model Huang, R

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.293685Z

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Observation f33bd9fb-7d60-4b73-a423-f4bfe5c694b8 · outbound

This paper cites We profoundly investigate this issue when conduct ing the complexity and feasibility analysis of the algorithm in the next section.

Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model We profoundly investigate this issue when conduct ing the complexity and feasibility analysis of the algorithm in the next section

Reference 104

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.750914Z

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