Paper Citation Record · LEDGER

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

As of 23 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

Typed states for the displayed outbound observations.

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

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

40 of 40 outbound references displayed

verified exact2
verified fuzzy22
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:15:04.790255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.550273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.711159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.692168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.625057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.609719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.593297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:15:04.408006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.