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Paper Citation Record · LEDGER

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations

As of 18 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2504.13033.

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

pith.paper-citation-record.v1
2504.13033 v1

Coverage vector

measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T12:24:54.192764Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation 0bd32b8b-769c-48c3-8fcf-39b0d597675d · outbound

This paper cites Encode the vector ⃗b into the system register while initializing all other qubits in state|0⟩.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Encode the vector ⃗b into the system register while initializing all other qubits in state|0⟩

Reference 1

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Observation 5eab47b1-ff11-450e-ad35-19eb4f5307bb · outbound

This paper cites Apply Hardamard gates to the clock qubits.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Apply Hardamard gates to the clock qubits

Reference 2

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Observation 18825ec8-761e-48be-9751-89c6109c4770 · outbound

This paper cites ApplyRy rotations to the ancilla qubit with the rotation angles θ determined by the closest binary approximation ˜λ of the eigen- valueλ of the matrix A.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations ApplyRy rotations to the ancilla qubit with the rotation angles θ determined by the closest binary approximation ˜λ of the eigen- valueλ of the matrix A

Reference 3

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Observation f64483a2-cf11-4d87-bf96-4d1e162f6ea5 · outbound

This paper cites Revert the Quantum Phase Esti- mation.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Revert the Quantum Phase Esti- mation

Reference 4

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Observation 91d59a11-97c4-4df5-a276-d53398e7d3a9 · outbound

This paper cites National Research Centre in High Performance Computing, Big Data and Quantum Computing.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations National Research Centre in High Performance Computing, Big Data and Quantum Computing

Reference 5

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Observation cca047c9-21b0-46eb-bace-4fa9283297cb · outbound

This paper cites McLean, Understanding Aerodynamics: Arguing from the Real Physics (Wiley, 2012).

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations McLean, Understanding Aerodynamics: Arguing from the Real Physics (Wiley, 2012)

Reference 6

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Observation e1358aee-2e07-4eec-a38b-90962c7fa174 · outbound

This paper cites Norton, D.-W.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Norton, D.-W

Reference 7

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Observation 91268837-cf2e-459d-95ee-4d3bcbb2d4a9 · outbound

This paper cites Mani and A.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Mani and A

Reference 8

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Observation c117edb2-878f-4ece-aae7-f1b8e707d55c · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 9

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Observation 02fc2db0-932b-476a-8a57-e63ab7aeffe6 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 10

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Observation a6b49899-2d17-4432-b204-3043ed8eaba6 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 11

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Observation f3f7d1c8-0317-40cb-9c10-868665ef12af · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 12

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Observation 13a9216c-1cfc-479e-ad88-fa82b89bfabb · outbound

This paper cites Schlichting and K.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Schlichting and K

Reference 13

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Observation 201053ed-4ba4-46bf-84c2-d772ca311a92 · outbound

This paper cites Gaitan, Finding flows of a navier–stokes fluid through quantum computing, npj Quantum Inf 6, 61 (2020).

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Gaitan, Finding flows of a navier–stokes fluid through quantum computing, npj Quantum Inf 6, 61 (2020)

Reference 14

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Observation c750a622-166a-4ec5-acc9-bf1d5c22aac4 · outbound

This paper cites Meng and Y.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Meng and Y

Reference 15

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Observation c639a060-937f-4d4b-8956-59e5e4536443 · outbound

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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 16

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Observation 326ac989-26e0-460f-adbf-d1dec69a37e6 · outbound

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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 17

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Observation edc43bda-d9c3-498f-bba2-b140cf3a6256 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 18

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Observation ce7bbbfb-fdb1-4bed-8f40-16f951a61632 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 19

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Observation 6a6f724e-5d19-4317-aa3f-4080b0b7054d · outbound

This paper cites Gaitan, Finding solutions of the navier-stokes equa- tions through quantum computing—recent progress, a generalization, and next steps forward, Adv.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Gaitan, Finding solutions of the navier-stokes equa- tions through quantum computing—recent progress, a generalization, and next steps forward, Adv

Reference 20

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Observation 4cc4400b-2611-42c0-8690-f529ab161f4f · outbound

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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 21

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Observation 6b344861-4a71-457f-9205-fa87f31c0d6c · outbound

This paper cites Montanaro and S.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Montanaro and S

Reference 22

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Observation e4068c8d-8a41-4d73-9985-ea604bd4d289 · outbound

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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 23

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Observation 6ae8ab1d-476e-4cd0-bfe7-2f209eb9b6a0 · outbound

This paper cites Succi, The Lattice Boltzmann Equation for Fluid Dy- namics and Beyond (Oxford University Press, 2001).

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Succi, The Lattice Boltzmann Equation for Fluid Dy- namics and Beyond (Oxford University Press, 2001)

Reference 24

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Observation 9b6eaa8b-752f-40fb-8231-2c20cea22ddb · outbound

This paper cites Chen and G.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Chen and G

Reference 25

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Observation d3d7e78b-b33a-4254-904d-b1e08e11a9ea · outbound

This paper cites Quantum Carleman Lattice Boltzmann Simulation of Fluids.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Quantum Carleman Lattice Boltzmann Simulation of Fluids

Reference 26

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Observation 91246d07-109a-41c0-9fe8-3e5250a37530 · outbound

This paper cites Quantum Algorithm for Lattice Boltzmann (QALB) Simulation of Incompressible Fluids with a Nonlinear Collision Term.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Quantum Algorithm for Lattice Boltzmann (QALB) Simulation of Incompressible Fluids with a Nonlinear Collision Term

Reference 27

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Observation 349731fa-79af-45ae-a865-b26f0f7b1bba · outbound

This paper cites Kocherla, Z.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Kocherla, Z

Reference 28

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Observation a151f56c-42ef-4051-a9de-ffdf5ecd36ea · outbound

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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 29

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Observation 254c544f-0519-4d3b-b47e-dda236ce464b · outbound

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Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 30

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Observation d2f90ccd-8256-44f0-a59c-4a63200be11b · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 31

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Observation c671df35-bef5-44d2-8424-21f33c4f5cba · outbound

This paper cites Carleman, Application de la th´ eorie des ´ equations int´ egrales lin´ eaires aux syst` emes d’´ equations diff´ erentielles non lin´ eaires, Acta Mathematica 59, 63–87 (1932).

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Carleman, Application de la th´ eorie des ´ equations int´ egrales lin´ eaires aux syst` emes d’´ equations diff´ erentielles non lin´ eaires, Acta Mathematica 59, 63–87 (1932)

Reference 32

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Observation 37551b90-49b7-492a-9aca-a151a8825421 · outbound

This paper cites Carleman-Grad approach to the quantum simulation of fluids.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Carleman-Grad approach to the quantum simulation of fluids

Reference 33

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source=pdf_text observed=2026-08-16T12:24:54.102105Z digest=sha256:8af03761cfd83b4afe110380363deb81fffcd2ed21c7a7502646e7dbf04177a1

Observation 3f7d3e33-26e0-43a7-8bc5-86b0ffda7d38 · outbound

This paper cites Carleman-lattice-Boltzmann quantum circuit with matrix access oracles.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Carleman-lattice-Boltzmann quantum circuit with matrix access oracles

Reference 34

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Observation 09743216-74e1-41bc-a8cf-8691a451ef91 · outbound

This paper cites Zaman, H.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Zaman, H

Reference 35

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Observation 952d326a-9291-41c7-8878-a79c2bae3c7d · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 36

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 321f736e-76a3-4712-b2f6-421821c33156 · outbound

This paper cites Quantum linear systems algorithms: a primer.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Quantum linear systems algorithms: a primer

Reference 37

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Observation a3875bcd-a379-44e8-a891-f440b8fc9a9e · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 38

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source=pdf_text observed=2026-08-16T12:24:54.124820Z digest=sha256:208f02408b81ea2a211354d636beb78c7daa71ceebd288e35a964ab94329043b

Observation 375140df-6af7-434b-839d-891568c15470 · outbound

This paper cites Bravo-Prieto, R.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Bravo-Prieto, R

Reference 39

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2ea435a8-922c-455b-9fed-b6d9dc5f28b3 · outbound

This paper cites An Empirical Analysis on the Effectiveness of the Variational Quantum Linear Solver.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations An Empirical Analysis on the Effectiveness of the Variational Quantum Linear Solver

Reference 40

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source=pdf_text observed=2026-08-16T12:24:54.133474Z digest=sha256:7b075cb406f4d9c3e498e497c93377d73bd9679d8c041eefcc67b13ad2439254

Observation 4abf68a8-c481-4ea9-bc8f-239d74e5c87c · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 41

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 48f15bd1-d626-44d1-af44-5d86c2b7e1d6 · outbound

This paper cites Sanavio and S.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Sanavio and S

Reference 42

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:24:54.142635Z digest=sha256:4a99b52aa6d7360c61da4f9a9b78cea62cf34e7fe7ebbb2a91a1826d8b8d6713

Observation bdd208c9-fff5-4423-b873-e264c9a0b334 · outbound

This paper cites Enhancing the Harrow-Hassidim-Lloyd (HHL) algorithm in systems with large condition numbers.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Enhancing the Harrow-Hassidim-Lloyd (HHL) algorithm in systems with large condition numbers

Reference 43

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source=pdf_text observed=2026-08-16T12:24:54.146980Z digest=sha256:0d932790b63736881117e4577b1081e23c8874fedde467233b3d5eb181159a31

Observation e64aa811-a8b4-4954-97d4-daa8dc31fa3b · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 44

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a9821513-7ffe-438e-ab6b-bf3ec156d3e5 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 45

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:24:54.155901Z digest=sha256:16f67a3214eb2d02b40a71fd5850fd4d09be33554b87b18dfeed1f0e07f83f35

Observation 949acf0d-6d41-40e7-83ae-a307c4913473 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 46

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source=pdf_text observed=2026-08-16T12:24:54.160150Z digest=sha256:f54a8131b3c3572964fae93bd2c9f559e07a0e79939c9b40f7647fb77ee1d12c

Observation 6d205dd3-8fd4-436b-ac49-fd546541b0cf · outbound

This paper cites Wossnig, Z.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Wossnig, Z

Reference 47

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:24:54.164616Z digest=sha256:0b74cc4772e98974779eb4e279a3f27140be95ede1b1bc6f95466e73162e2246

Observation b1ce6b9b-4f5b-45d6-9488-18e0001a9bba · outbound

This paper cites Shende, S.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Shende, S

Reference 48

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 77362f98-c4ea-44ae-bf91-d9bcbf67ae28 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 49

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 028ec71a-85d5-44a3-b4dd-a8c51fbfac3d · outbound

This paper cites The variable l is analogous for the column.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations The variable l is analogous for the column

Reference 50

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:24:54.177500Z digest=sha256:f93d1a5f24d052ebb6c985407437f862933aa67acd2e3f5475e62e36f5493deb

Observation bff9ee41-0c6c-4ce1-ba1e-fe4d76d21ac9 · outbound

This paper cites Such conditions ensure that fluid exiting one side of the domain seamlessly re-enter from the opposite side, maintaining continuity across the boundaries.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Such conditions ensure that fluid exiting one side of the domain seamlessly re-enter from the opposite side, maintaining continuity across the boundaries

Reference 51

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:24:54.182135Z digest=sha256:fe4dd171272831edc4e9c1d95348528e032ed4d6983d3cd7f19ea35928beaf4b

Observation 1da86708-adcd-4297-b33c-c94b050538c5 · outbound

This paper cites Such conditions imply that the fluid distributions elasti- cally scatter against the wall.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Such conditions imply that the fluid distributions elasti- cally scatter against the wall

Reference 52

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T12:24:54.187606Z digest=sha256:ae9fb462da27025b0ca967c78a44b3e0f94b2fbc262bd23061b677966c169955

Observation a4e9fa02-f7e6-432a-bddb-030722ab7707 · outbound

This paper cites an unresolved cited work.

Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations Unresolved cited work

Reference 53

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

No inbound Pith citation observations are available.