Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:31:07.820883Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 100 of 191 outbound references and 2 inbound Pith citation observations for arXiv:2508.12191.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:31:07.820883Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T18:35:57.952272Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T00:20:52.616687Z
100 of 191 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c1283b38-2168-49bb-9ad2-46f75ba83a3e · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 1
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Observation 67cbdf3a-d437-44d6-8c4d-0399714c96b2 · outbound
Simulating Quantum Turbulence with Matrix Product States shoulder
Reference 2
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Observation dbac86fd-a4f3-416a-b14e-73147cec4c8d · outbound
Simulating Quantum Turbulence with Matrix Product States We consider an initial state with a density ofρ 3D Vortex = 1.1×10 −2ξ−2 in a domain withL= 64ξwith the fixed resolution ξ/4
Reference 3
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Unavailable: canonical work link unavailable.
Observation de2bd03e-74b3-4984-9c6f-0df265ee7825 · outbound
Simulating Quantum Turbulence with Matrix Product States To build the latter, we first write 1D 2D 3D Sequential 3 4 4 Staircase 4 4 Interleaved 6 8 TABLE I
Reference 4
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Observation 1bf32e5d-0ce4-463c-a8f5-988c57ee3285 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 5
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Unavailable: canonical work link unavailable.
Observation aac0e580-554f-479f-916d-cc2a219a5067 · outbound
Simulating Quantum Turbulence with Matrix Product States The vortex dipole is characterized by a dipole lengthd=|r 2−r 1|, andθ j(r) = Angle(r−r j,r 2−r 1) is the angle ofr−r j measured from the directionr 2−r 1
Reference 6
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Unavailable: canonical work link unavailable.
Observation 5a4af8cf-104f-4c0a-a33d-d14b8ec64552 · outbound
Simulating Quantum Turbulence with Matrix Product States Then, for a given ra- diusRwe definer 1 = (−R,L/2),r 2 = (R,L/2) and r= ( p (x−L/2) 2 + (y−L/2) 2,z), and substitute in 19 FIG
Reference 7
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Observation 39abdf3b-79d0-4ba4-adda-9156008c18c3 · outbound
Simulating Quantum Turbulence with Matrix Product States Also, an imaginary time evolution is ap- plied to suppress initial sound waves
Reference 8
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Observation b4a6c202-57fe-46d7-98ac-7b955e08a22d · outbound
Simulating Quantum Turbulence with Matrix Product States For the DNS, we sample uniformly from the inter- val [−1,1] for both the real and imaginary components
Reference 9
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Observation 1dedfcc2-1639-44ef-aaa8-8978e91c4fbd · outbound
Simulating Quantum Turbulence with Matrix Product States Afterwards, we create a semi-diagonal tensor connected to both bonds, defined with an identity state as|0⟩+|1⟩forl=rand zero oth- erwise
Reference 10
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Observation 1739affe-7a64-42c3-970b-719dd6aaff32 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 11
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Observation a39a1f3e-ce95-4f20-b3af-63a494255123 · outbound
Simulating Quantum Turbulence with Matrix Product States 23, we focus our anal- ysis on the three-dimensional staircase ordering shown in Fig
Reference 12
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Observation acbb21dc-d566-42ab-9e95-c0e51ef7e27f · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 13
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Observation 303c8011-ca89-40b6-b830-88202932a3ca · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 14
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Observation db2c2841-7793-4b76-91ea-9943c736da79 · outbound
Simulating Quantum Turbulence with Matrix Product States The first vector (ˆ w0) points in the direction of the pseudovorticityω 0 evaluated at the initial sampled point; this indicates the di- rection of the vortex line
Reference 15
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Unavailable: canonical work link unavailable.
Observation 366f4493-3bf2-408f-8b83-0ae336fb7af6 · outbound
Simulating Quantum Turbulence with Matrix Product States ∆urn ∆vrn # =− Re ∂(n) u ψn Re ∂(n) v ψn Im ∂(n) u ψn Im ∂(n) v ψn −1
Reference 16
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Unavailable: canonical work link unavailable.
Observation 0d236f91-56f3-4112-9efe-a73d5b32ffe4 · outbound
Simulating Quantum Turbulence with Matrix Product States This evolution is performed so that the next sampled point follows the direction of the vortex line given byˆ w n atr n
Reference 17
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Unavailable: canonical work link unavailable.
Observation a7701b3a-dd6e-4e7d-bc35-46bd721fc232 · outbound
Simulating Quantum Turbulence with Matrix Product States This method is iterated to obtain the complete set of vortex lines
Reference 18
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Observation 43f981f3-ff56-48ff-ba83-3f5219de1dea · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 19
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Observation 1d90bf02-f2a1-408a-b6f9-ae0d380fa14a · outbound
Simulating Quantum Turbulence with Matrix Product States III B, the largest computational costs scale asO(χ 4) and correspond to the Hadamard products used to cal- culate|ω| 2
Reference 20
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Observation 27ef3789-2ded-42ea-ae26-3ef40c3d038d · outbound
Simulating Quantum Turbulence with Matrix Product States Lamporesi, S
Reference 21
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Observation 38ea89ae-bc51-4588-a83c-fd8808424841 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 22
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Observation 6db734d6-b031-4970-bcf8-7dafbc102f43 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 23
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Observation c6211294-fde1-42a4-9f14-fb7f623b3333 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 24
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Observation ee57439e-943b-4f5d-a708-509089d85690 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 25
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Observation bdebfe4d-5fdb-4dd5-b441-5eba1db066a7 · outbound
Simulating Quantum Turbulence with Matrix Product States Madeira, M
Reference 26
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Observation 4bf78e9b-c1c7-451b-981b-8eec004601a2 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 27
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Observation ceb9fab8-52e4-40ad-a63f-ffee06c092d8 · outbound
Simulating Quantum Turbulence with Matrix Product States Dalfovo, S
Reference 28
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Observation c6a78f7f-e0a8-494d-8ccf-0f62df20eed1 · outbound
Simulating Quantum Turbulence with Matrix Product States Bloch, J
Reference 29
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Observation 79c232c8-ef9b-498b-8a7a-c25ab5c3f151 · outbound
Simulating Quantum Turbulence with Matrix Product States Bloch, J
Reference 30
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Observation f607e776-906d-4cdc-85b5-d7c971f226ce · outbound
Simulating Quantum Turbulence with Matrix Product States Est` eve, C
Reference 31
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Observation 23563ea0-cd27-471f-b1b6-6bbc9d86d92d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 32
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Observation d6c7bdbe-e40b-4c84-b170-8f71af76d11d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 33
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Observation d58cf392-a2c7-4e35-aa70-1c80a02581b3 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 34
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Observation 2e031556-d77d-4f67-8e29-e2624518b4ba · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 35
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Observation 017e6153-dfb4-4963-b7c3-6755ac358a42 · outbound
Simulating Quantum Turbulence with Matrix Product States Bennemann and J
Reference 36
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Observation f5578b7d-5701-4f91-a05e-e2dc982555af · outbound
Simulating Quantum Turbulence with Matrix Product States Bennemann and J
Reference 37
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Observation 0ba72e28-56be-4dfa-bed8-6705bb3a4040 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 38
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Observation c97a581b-f83c-48a6-9f45-2c7e35677019 · outbound
Simulating Quantum Turbulence with Matrix Product States Klaers, J
Reference 39
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Observation cc82e725-dcfb-49b0-850b-853bcbb11444 · outbound
Simulating Quantum Turbulence with Matrix Product States (b,c) Relative change in energyE(b) and linear momentum in theydirectionP y (c) with respect to the initial valuesE 0 andP y0, respectively
Reference 40
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Unavailable: canonical work link unavailable.
Observation 6c93846a-107c-45c7-ab65-4c31bda4d225 · outbound
Simulating Quantum Turbulence with Matrix Product States Altfeder, A
Reference 41
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Observation bc951f9e-1b25-4117-88f0-21cb666925ea · outbound
Simulating Quantum Turbulence with Matrix Product States Bigagli, W
Reference 42
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Observation e7702e59-cdc8-4e48-8889-f7c10f926bde · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 43
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Observation 47871091-aab5-4e70-91cd-463f3cafdf7c · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 44
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Observation 5b5967b0-3729-492b-87f0-17d3555ac22d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 45
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Observation 6a196474-f285-48b4-b9d1-837c702b789e · outbound
Simulating Quantum Turbulence with Matrix Product States Navon, A
Reference 46
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Observation fa41f81a-e6df-4614-a9e6-4edd532d3568 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 47
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Observation 67d0ec1e-a783-429a-8a06-a97609943525 · outbound
Simulating Quantum Turbulence with Matrix Product States Kinoshita, T
Reference 48
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Observation adce8766-b69b-4f67-8d47-1ed63aaaa274 · outbound
Simulating Quantum Turbulence with Matrix Product States Langen, S
Reference 49
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Observation 56841a73-1cef-4972-9511-473078f84353 · outbound
Simulating Quantum Turbulence with Matrix Product States Ruggiero, P
Reference 50
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Observation d2eaabe8-ffc2-4673-ba18-0f2ea3a15840 · outbound
Simulating Quantum Turbulence with Matrix Product States Bonnemain, B
Reference 51
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Observation 745395db-0977-4750-8f1f-20532c8c05d8 · outbound
Simulating Quantum Turbulence with Matrix Product States Doyon, S
Reference 52
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Observation 7920bb9f-1ea5-4ea5-ba5a-76b8f7d4d264 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 53
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Observation 72346d72-707e-45e4-a11f-55774aed281d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 54
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Observation b7c79aa5-5969-44fa-b4a3-2c1d6790cc3c · outbound
Simulating Quantum Turbulence with Matrix Product States Gauthier, M
Reference 55
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Observation bfe1100b-6737-4059-9354-20cecdefee85 · outbound
Simulating Quantum Turbulence with Matrix Product States Ga lka, P
Reference 56
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Observation 8aa7174c-0a34-49a4-9461-8fd12ff94638 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 57
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Observation 16486a64-b96d-4102-a40d-f75578b22658 · outbound
Simulating Quantum Turbulence with Matrix Product States Karailiev, M
Reference 58
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Observation 768e8ee2-d6ba-42fb-b8ef-e944f9a46d5e · outbound
Simulating Quantum Turbulence with Matrix Product States Hadzibabic, P
Reference 59
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Observation 41c20dcb-702b-443c-8954-c4dbcb3d4a5d · outbound
Simulating Quantum Turbulence with Matrix Product States Sunami, V
Reference 60
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Observation 5ddc55ea-f5b0-49d0-9dc6-8fe25dd3bef0 · outbound
Simulating Quantum Turbulence with Matrix Product States Pitaevskii and S
Reference 61
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Observation cf3352b0-3102-485c-a730-8afeba81a61d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 62
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Observation 6e12bed6-476b-4374-b39c-7ab2b0973145 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 63
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Observation 776448d3-b195-4fe1-b65d-1bc8e0085e8d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 64
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Observation cd9dd5c0-af2b-4ad9-9266-48a97af1367a · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 65
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Observation 954107c2-3deb-4bc7-bb02-ecb426ae7845 · outbound
Simulating Quantum Turbulence with Matrix Product States Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Ann
Reference 66
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Observation 79636442-30ad-46fe-8883-1252e3984e22 · outbound
Simulating Quantum Turbulence with Matrix Product States Or´ us, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Ann
Reference 67
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Observation 940e5ca0-f13a-44f7-a3f3-d59c0161066f · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 68
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Observation f539dcc1-79b5-4684-ba3d-2b67c9daa8a7 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 69
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Observation 12fdabe3-35d8-4f17-b66b-6fe6b4c82f84 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 70
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Observation 6af502ec-8ec6-4724-82ec-2cceea976b34 · outbound
Simulating Quantum Turbulence with Matrix Product States Gourianov, M
Reference 71
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Observation 0dc3a2d4-9fd3-4d6c-857f-27406e64fd49 · outbound
Simulating Quantum Turbulence with Matrix Product States Gourianov,Exploiting the Structure of Turbulence with Tensor Networks, Ph.D
Reference 72
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Observation 178b3994-21f5-4433-9db6-d47a672809f3 · outbound
Simulating Quantum Turbulence with Matrix Product States Kornev, S
Reference 73
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Observation d19813f6-4c7f-469b-b331-23f462f93c88 · outbound
Simulating Quantum Turbulence with Matrix Product States Kiffner and D
Reference 74
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Observation 036dc517-b967-4273-8a2b-ce1972d90ece · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 75
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Observation fced41c8-f540-41c1-a999-c3b1278ee5cf · outbound
Simulating Quantum Turbulence with Matrix Product States H¨ olscher, P
Reference 76
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Observation faba4ae9-e8da-4543-b894-1ff32239d8f7 · outbound
Simulating Quantum Turbulence with Matrix Product States Gourianov, P
Reference 77
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Observation 7c03c180-35b1-4748-b4ce-9fe917887615 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 78
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Observation a2ee311f-8452-4aee-b5ed-63fedd7f0263 · outbound
Simulating Quantum Turbulence with Matrix Product States Pisoni, R
Reference 79
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Observation 3653f4f2-629e-46e4-989b-80f8f680137b · outbound
Simulating Quantum Turbulence with Matrix Product States Fast and Flexible Quantum-Inspired Differential Equation Solvers with Data Integration
Reference 80
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Observation cd073a3c-9099-47ec-90c6-9bef63dd810b · outbound
Simulating Quantum Turbulence with Matrix Product States Ye and N
Reference 81
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Observation 6e2f5b72-aadd-4e5c-94e2-25fa1bd3c7fd · outbound
Simulating Quantum Turbulence with Matrix Product States Ye and N
Reference 82
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Observation afe970a2-a0cc-48a0-bdb0-f6f75ff70465 · outbound
Simulating Quantum Turbulence with Matrix Product States Symplectic QTT-FEM solution of the one-dimensional acoustic wave equation in the time domain
Reference 83
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Observation 03ed3e72-d5e6-4f06-bc5a-7d15c4ced3c9 · outbound
Simulating Quantum Turbulence with Matrix Product States Lively, V
Reference 84
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Observation 96d26c25-3beb-40de-b217-b29d6d6e2c62 · outbound
Simulating Quantum Turbulence with Matrix Product States Shinaoka, M
Reference 85
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Observation 3314af2c-00a3-42cd-952c-611ee09d3a9b · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 86
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Observation 2a3d0d9d-89a2-414c-9fb4-054480dfbf21 · outbound
Simulating Quantum Turbulence with Matrix Product States Rohshap, M
Reference 87
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Observation 07e0f856-1c6e-4a8d-abf5-8cf0153f1e16 · outbound
Simulating Quantum Turbulence with Matrix Product States Suret, S
Reference 88
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Observation 22e03cd5-82f7-48c5-9c5e-30b2247aa708 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 89
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Observation 9a00e139-0aaa-4ff4-b3ea-f64c455dbafc · outbound
Simulating Quantum Turbulence with Matrix Product States Nowak, J
Reference 90
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Observation 61e82864-2b19-45b4-ab0c-68b8b499ad46 · outbound
Simulating Quantum Turbulence with Matrix Product States Simula, M
Reference 91
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Observation 53d1be8e-7d26-48b7-b0c6-aee5431967c5 · outbound
Simulating Quantum Turbulence with Matrix Product States Salman and D
Reference 92
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Observation 46ce6bcd-0f82-4d38-92f8-707d1fa1b482 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 93
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Observation fb7a684b-2267-4340-a402-9745be0877d1 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 94
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Observation 39424e52-2619-4033-80a9-1c05f1a00dc6 · outbound
Simulating Quantum Turbulence with Matrix Product States Nowak, D
Reference 95
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Observation b2bd5ca9-d458-4333-bde4-70447829a37d · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 96
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Observation e9faa82e-3245-4d7c-8d76-b2ee1214cd1a · outbound
Simulating Quantum Turbulence with Matrix Product States Tsubota, K
Reference 97
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Observation 78672d89-67f2-4b1e-9df4-56d2ce2c3673 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 98
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Observation b1eed455-8d16-4e67-92a6-3e3733072396 · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 99
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Observation 67226ffc-7b26-4f82-be8a-0d76445e77fd · outbound
Simulating Quantum Turbulence with Matrix Product States Unresolved cited work
Reference 100
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Observation d97ed82d-b033-4b2b-8498-3963f677e881 · inbound
Solving the Peierls-Boltzmann transport equation with matrix product states Simulating Quantum Turbulence with Matrix Product States
Reference 21
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b51dfa08-9d36-4a3d-8f78-0bcb6b3c5667 · inbound
Quantum-Inspired Simulation of 2D Turbulent Rayleigh-B\'enard Convection Simulating Quantum Turbulence with Matrix Product States
Reference 42
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.