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Paper Citation Record · LEDGER

Variational matrix product states for combinatorial optimization

As of 8 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 0 inbound Pith citation observations for arXiv:2512.20613.

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

pith.paper-citation-record.v1
2512.20613 v2

Coverage vector

measured 72 of 72 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:24:36.267429Z

measured 72 of 72 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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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Source: cited_works

Reference resolution

72 of 72 outbound references displayed

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Outbound references

Observation 4a39e3d6-7034-4097-b95d-d278515bd8cc · outbound

This paper cites QiIGS —The QiIGS algorithm replaces the sequential QiILS update of Eq.

Variational matrix product states for combinatorial optimization QiIGS —The QiIGS algorithm replaces the sequential QiILS update of Eq

Reference 1

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Observation 67cc4e8a-b834-4066-91ba-ea0ee12a1d68 · outbound

This paper cites Starting from a randomly initialized MPS with bond dimension χ, we perform DMRG sweeps at the chosen λ until conver- gence.

Variational matrix product states for combinatorial optimization Starting from a randomly initialized MPS with bond dimension χ, we perform DMRG sweeps at the chosen λ until conver- gence

Reference 2

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Observation 3c73bcc7-a57e-4301-bb50-b8478f1f8907 · outbound

This paper cites Zhang, Y.

Variational matrix product states for combinatorial optimization Zhang, Y

Reference 3

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Observation d8b2b19b-3477-4ea4-9509-34249c125214 · outbound

This paper cites Guihaire and J.-K.

Variational matrix product states for combinatorial optimization Guihaire and J.-K

Reference 4

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Observation 2369c448-4ecd-49cc-a6bb-f0898ae88ff1 · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 5

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Observation 3415cf07-ce54-4097-85ff-56591f7e757f · outbound

This paper cites Liu, T.-H.

Variational matrix product states for combinatorial optimization Liu, T.-H

Reference 6

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Observation ae81240f-c287-4b97-8c2f-7c5772069126 · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 7

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Observation 65e7a24f-6dd4-4a6d-925b-7f36b1ac9599 · outbound

This paper cites Kadowaki and H.

Variational matrix product states for combinatorial optimization Kadowaki and H

Reference 8

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Observation 07ae0ea4-c366-4da8-ac48-076429be6444 · outbound

This paper cites Quantum Computation by Adiabatic Evolution.

Variational matrix product states for combinatorial optimization Quantum Computation by Adiabatic Evolution

Reference 9

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Observation 954b4008-4e6f-43bf-8788-a970e946d658 · outbound

This paper cites Das and B.

Variational matrix product states for combinatorial optimization Das and B

Reference 10

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Observation fc89540d-f1cf-41e4-9343-23acb4954c15 · outbound

This paper cites Albash and D.

Variational matrix product states for combinatorial optimization Albash and D

Reference 11

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Observation d573177c-d358-4c63-b359-a913b14f5545 · outbound

This paper cites Hauke, H.

Variational matrix product states for combinatorial optimization Hauke, H

Reference 12

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Observation 293a911a-e939-4292-a85b-d7028fbc1553 · outbound

This paper cites Cerezo, A.

Variational matrix product states for combinatorial optimization Cerezo, A

Reference 13

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Observation 1a82c308-c3f8-42b1-b750-57877c82a7d5 · outbound

This paper cites Bharti, A.

Variational matrix product states for combinatorial optimization Bharti, A

Reference 14

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Observation a3d28aa3-968e-4229-a75e-4486bd12444c · outbound

This paper cites Tilly, H.

Variational matrix product states for combinatorial optimization Tilly, H

Reference 15

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Observation e5310628-8676-4257-9b98-898167d45556 · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

Variational matrix product states for combinatorial optimization A Quantum Approximate Optimization Algorithm

Reference 16

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Observation 3016429e-2bed-40cc-b471-3b795907462d · outbound

This paper cites Zhou, S.-T.

Variational matrix product states for combinatorial optimization Zhou, S.-T

Reference 17

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Observation e4b08d47-a4a7-4dc5-a7c4-9fe2718d3e41 · outbound

This paper cites Perez-Garcia, F.

Variational matrix product states for combinatorial optimization Perez-Garcia, F

Reference 18

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Observation 9abf3d73-06f5-4f68-ae4b-387139a422aa · outbound

This paper cites Verstraete, V.

Variational matrix product states for combinatorial optimization Verstraete, V

Reference 19

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Observation cf12deae-f52b-4b42-8009-7ce88641ac77 · outbound

This paper cites Schollwöck, The density-matrix renormalization group in the age of matrix product states, Ann.

Variational matrix product states for combinatorial optimization Schollwöck, The density-matrix renormalization group in the age of matrix product states, Ann

Reference 20

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Observation 51c02541-42c3-4788-9a15-adb56262943c · outbound

This paper cites Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Ann.

Variational matrix product states for combinatorial optimization Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Ann

Reference 21

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Observation 3e6fb12b-b941-4541-aea9-fd8993cca2d4 · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 4c2db853-d470-4594-beeb-9f91ab0413ba · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 86e378d7-020a-4231-9352-c44d895f4c8a · outbound

This paper cites Ayral, T.

Variational matrix product states for combinatorial optimization Ayral, T

Reference 24

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Observation 80137384-6f4b-489a-90e1-aa2a9eb7ffcd · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation b9dfa876-8e6a-4769-a793-08020e8b5d66 · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 08ec905d-dabd-4003-b9cf-3812a7df7038 · outbound

This paper cites Bowles, A.

Variational matrix product states for combinatorial optimization Bowles, A

Reference 27

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Observation 38b6d087-ed90-4e94-8420-6ad59aa4167e · outbound

This paper cites Guaita, L.

Variational matrix product states for combinatorial optimization Guaita, L

Reference 28

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Observation 5cbb5132-b753-42b5-b746-b706914fb68e · outbound

This paper cites Fioroni and V.

Variational matrix product states for combinatorial optimization Fioroni and V

Reference 30

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Observation 071d2965-a435-45d3-9169-d95db675941b · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 4d59abc0-936e-49ee-b88f-add03ad296a3 · outbound

This paper cites Ye, Gset dataset, https://web.stanford.edu/~yyye/ yyye/Gset/ (2003).

Variational matrix product states for combinatorial optimization Ye, Gset dataset, https://web.stanford.edu/~yyye/ yyye/Gset/ (2003)

Reference 32

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Observation 53a5e5d4-8f82-4f6e-ad39-e8602145279a · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 846823fc-0954-4486-866e-f47b364e813f · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 819fc792-2d5b-40ec-916c-adcf9430575e · outbound

This paper cites Entanglement as a resource in adiabatic quantum optimization.

Variational matrix product states for combinatorial optimization Entanglement as a resource in adiabatic quantum optimization

Reference 35

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Observation 6dfa1b92-54fe-46d5-b010-fa80a58d2702 · outbound

This paper cites Hatomura and T.

Variational matrix product states for combinatorial optimization Hatomura and T

Reference 36

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Observation 7928ffa4-0abc-48dc-b3e6-5f7f9aa33922 · outbound

This paper cites Mugel, C.

Variational matrix product states for combinatorial optimization Mugel, C

Reference 37

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Observation 06ffd5f8-8a0e-44fb-9847-d14ca1f304e7 · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

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Observation 246aa6fd-9240-4d4d-9bfd-6058b5dc08d1 · outbound

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Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 39

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Observation 0369497c-b0e5-4289-a8a1-e3234e9b177c · outbound

This paper cites Lopez-Piqueres, J.

Variational matrix product states for combinatorial optimization Lopez-Piqueres, J

Reference 40

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Observation 45a64e88-aa32-4a07-af03-af5b1a743493 · outbound

This paper cites Alcazar, M.

Variational matrix product states for combinatorial optimization Alcazar, M

Reference 41

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Observation 0b06d0a8-a98a-4a11-8b69-ab6dd17bb3a8 · outbound

This paper cites Lopez-Piqueres and J.

Variational matrix product states for combinatorial optimization Lopez-Piqueres and J

Reference 42

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Observation fccc6076-f158-4344-bad8-6efabc372659 · outbound

This paper cites Nakada, K.

Variational matrix product states for combinatorial optimization Nakada, K

Reference 43

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Observation 7eaeb465-06a3-45d7-bcfd-bc67ecfd5f47 · outbound

This paper cites Quantum algorithms for equational reasoning.

Variational matrix product states for combinatorial optimization Quantum algorithms for equational reasoning

Reference 44

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source=pdf_text observed=2026-08-03T14:24:36.158938Z digest=sha256:5644b373253529da35a2a1a771509d23e02a4b439e4ed2de7c29b9b1c0bf93c2

Observation ffed01be-867e-441f-9b34-fa9ca8a2c77f · outbound

This paper cites García-Sáez and J.

Variational matrix product states for combinatorial optimization García-Sáez and J

Reference 45

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source=pdf_text observed=2026-08-03T14:24:36.163510Z digest=sha256:15bcf16d1fadd78d628d76b67ee7a2298056a68fca5db738be6a305aac4e5442

Observation 74f7c6b6-200d-4e69-af07-f37b3fff06fb · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 46

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source=pdf_text observed=2026-08-03T14:24:36.167196Z digest=sha256:0af058c6a9b0491299a986a80e3afdec41da8e4487db94b8d4698f7c78678070

Observation ef6e021b-d6ef-4d79-bddd-99a3f0875bcf · outbound

This paper cites Do tensor renormalization group methods work for frustrated spin systems?.

Variational matrix product states for combinatorial optimization Do tensor renormalization group methods work for frustrated spin systems?

Reference 47

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source=pdf_text observed=2026-08-03T14:24:36.170758Z digest=sha256:fc49cc32544a2c7d5f17ac36dc812ef99c39e95cffc5234a6090571be27f01d0

Observation a8df6d48-db3a-48d2-a23d-720af37b8988 · outbound

This paper cites Kourtis, C.

Variational matrix product states for combinatorial optimization Kourtis, C

Reference 48

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source=pdf_text observed=2026-08-03T14:24:36.174664Z digest=sha256:5516e58ed031f534003fc19877c5234b0d29844b33e53e7007a6cdccaa9f69e1

Observation d522d1ca-6f76-4dbb-ba2a-dd717b38a6ad · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 49

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source=pdf_text observed=2026-08-03T14:24:36.178246Z digest=sha256:3bc275c09bdc982aef0d12004afd15844757e82b783419b1311f2eb595234d6b

Observation 64f9c8a8-3d9f-4548-85bd-8a73deb69a20 · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-03T14:24:36.181755Z digest=sha256:e30299f20f81b5e8edf17f31eb1b6edb9fd450a74dbe6af7d4bd50c7f0bf4795

Observation 4153db0d-e79a-45a4-930a-e42f78ead2ef · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-03T14:24:36.185448Z digest=sha256:74dacb6743ff89194640c53f6b10704cb68778d3dec5f3ccb6f7b731022bb46d

Observation f3a2240f-6f43-43d3-bdf8-9e8f3051d52c · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 52

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source=pdf_text observed=2026-08-03T14:24:36.189314Z digest=sha256:cc01d2fccbb015d038f212a29d3507f2ec2734fe7ae47c835c8566f0da991f46

Observation ab9a84c9-b370-4576-87be-c6ce458d29e0 · outbound

This paper cites One-step replica symmetry breaking in the language of tensor networks.

Variational matrix product states for combinatorial optimization One-step replica symmetry breaking in the language of tensor networks

Reference 53

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source=pdf_text observed=2026-08-03T14:24:36.192790Z digest=sha256:a7a80afd9332827874479f236457ed99348dd11a0a4d78de0bb677f4c00fcc26

Observation de6954d1-a9e4-4ece-bcad-9d3e6742fb50 · outbound

This paper cites HOBOTAN: Efficient Higher Order Binary Optimization Solver with Tensor Networks and PyTorch.

Variational matrix product states for combinatorial optimization HOBOTAN: Efficient Higher Order Binary Optimization Solver with Tensor Networks and PyTorch

Reference 54

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source=pdf_text observed=2026-08-03T14:24:36.196901Z digest=sha256:c74e8331cf630a677d49781cde9be9b28dcbba0244093016e1b9db3b089f4603

Observation 98c6bb15-951a-4352-83c2-29dcc4ada2fb · outbound

This paper cites Tesoro, I.

Variational matrix product states for combinatorial optimization Tesoro, I

Reference 55

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source=pdf_text observed=2026-08-03T14:24:36.200564Z digest=sha256:d3c3b0bee2f5fba05adb7492987904d74142809e9e6793caa380a3dd9e80600a

Observation c1b29b37-710e-4b82-add1-aca488626a14 · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 56

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source=pdf_text observed=2026-08-03T14:24:36.203993Z digest=sha256:d504cf51cc91a855a617009681253ebfef85cee70dc1eccfc27a13ed072db93f

Observation 56720ac4-c504-4ee1-99f1-27d776a595f2 · outbound

This paper cites Patra, S.

Variational matrix product states for combinatorial optimization Patra, S

Reference 57

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source=pdf_text observed=2026-08-03T14:24:36.207596Z digest=sha256:2f6679e936a64a7b0a4f33d07b30635097b49c20fec30eab565616efee38bb53

Observation bfa45dfe-05cf-4ab6-8c2a-7c9fcf054896 · outbound

This paper cites Explicit Solution Equation for Every Combinatorial Problem via Tensor Networks: MeLoCoToN.

Variational matrix product states for combinatorial optimization Explicit Solution Equation for Every Combinatorial Problem via Tensor Networks: MeLoCoToN

Reference 58

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source=pdf_text observed=2026-08-03T14:24:36.211111Z digest=sha256:1c8c0ec7a8fbcd2eca4b408edd7e38c2036848bacdf383cce2a3a9de1c856d53

Observation 5b78512c-eade-4a6b-a13c-c434b9f00311 · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 59

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source=pdf_text observed=2026-08-03T14:24:36.214754Z digest=sha256:6511c5680a4bf722f42e3caa3a6617d87caa9571b1369dd430eec8803dacf617

Observation 255fad14-f9b9-4308-a54c-daa3b6f7def2 · outbound

This paper cites Fishman, S.

Variational matrix product states for combinatorial optimization Fishman, S

Reference 60

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source=pdf_text observed=2026-08-03T14:24:36.218498Z digest=sha256:4bef9545926ced3db9d280a7904509d1f0192e8dd61b68d98181616ffe4c4075

Observation 27d6036e-794b-4d7d-bdad-aa2c8c9b7b25 · outbound

This paper cites Fishman, S.

Variational matrix product states for combinatorial optimization Fishman, S

Reference 61

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source=pdf_text observed=2026-08-03T14:24:36.222044Z digest=sha256:e7eb5553999ae09c7cafa18ccc9086c276aa5860b0cb6956c6781eeaaa3c36e7

Observation a5863a7c-420e-40ae-8917-d12fed46480f · outbound

This paper cites Fröwis, V.

Variational matrix product states for combinatorial optimization Fröwis, V

Reference 62

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source=pdf_text observed=2026-08-03T14:24:36.225712Z digest=sha256:39b106f0fc3e661f7d356b2208e8a3bd81746b55210f1ed8862ed683674cda61

Observation 7160be32-1ea1-48f3-bc6e-a428cc90f815 · outbound

This paper cites Barahona, M.

Variational matrix product states for combinatorial optimization Barahona, M

Reference 63

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source=pdf_text observed=2026-08-03T14:24:36.229414Z digest=sha256:105442f9927d87135e5ba0d52b31808a0aafd934c60cd6536dbe96113b2a8a01

Observation 4bbd9c09-25dd-49f3-a292-fb177a82f14a · outbound

This paper cites Lucas, Ising formulations of many NP problems, Front.

Variational matrix product states for combinatorial optimization Lucas, Ising formulations of many NP problems, Front

Reference 64

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source=pdf_text observed=2026-08-03T14:24:36.233026Z digest=sha256:085d1e961ddd405541075475b6ee988f242ae529f0057243a8e4db8c5b65ac10

Observation a9f0c36c-8f4a-4fac-a645-b13acccf9b81 · outbound

This paper cites The Quantum Approximate Optimization Algorithm performance with low entanglement and high circuit depth.

Variational matrix product states for combinatorial optimization The Quantum Approximate Optimization Algorithm performance with low entanglement and high circuit depth

Reference 65

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source=pdf_text observed=2026-08-03T14:24:36.236714Z digest=sha256:9ce665bc647df259b3a57e5d9b6e9664c27fbff9092a70603c08968431cc54e1

Observation 14155ed4-8d2e-4784-bc08-1371d3a1845b · outbound

This paper cites Optimization of Functions Given in the Tensor Train Format.

Variational matrix product states for combinatorial optimization Optimization of Functions Given in the Tensor Train Format

Reference 66

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source=pdf_text observed=2026-08-03T14:24:36.240539Z digest=sha256:a3029bfc38917ea69ebc3659f2aa9c6fd8f9730984de633653abcb247771a62e

Observation 6cb1c122-108c-40b2-9500-a37d1380e862 · outbound

This paper cites best”, “avg.

Variational matrix product states for combinatorial optimization best”, “avg

Reference 67

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source=pdf_text observed=2026-08-03T14:24:36.244437Z digest=sha256:a05d6dfa54e6ccc8c1c86706d5d0b351e6178925904613bc877cf21e7e78924b

Observation 2c9ab4f8-9211-4ee5-a2ca-12047709ae99 · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-03T14:24:36.248641Z digest=sha256:c21b833e8733d92873e090846ddf7d4636947df092fbf6c0527ca5fff5de6984

Observation a1f50bb8-e942-4026-9837-2d34ffd90fcf · outbound

This paper cites Bowles, A.

Variational matrix product states for combinatorial optimization Bowles, A

Reference 69

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source=pdf_text observed=2026-08-03T14:24:36.252336Z digest=sha256:4e5e99357f7c28275614f0fed247d9608cd3ec9212dd4c22c20761a0923f1dfb

Observation ca70bee1-f351-408b-84b6-a293ed135613 · outbound

This paper cites Fioroni and V.

Variational matrix product states for combinatorial optimization Fioroni and V

Reference 70

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source=pdf_text observed=2026-08-03T14:24:36.256074Z digest=sha256:429f2aa4878f50a55c3b6bd4aa3f6cab05e213ea1751dbdf40f50d867ce1dca9

Observation 45d733ec-03ff-42a6-91d9-a69a314742da · outbound

This paper cites Guaita, L.

Variational matrix product states for combinatorial optimization Guaita, L

Reference 71

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source=pdf_text observed=2026-08-03T14:24:36.259829Z digest=sha256:30d456fe7329aa62e72b274da6c42d79cd0d8813c9fe2807bf2480a744c353ea

Observation 47d7dab4-356c-4ea3-b76c-66d1f249a2f4 · outbound

This paper cites an unresolved cited work.

Variational matrix product states for combinatorial optimization Unresolved cited work

Reference 72

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source=pdf_text observed=2026-08-03T14:24:36.263567Z digest=sha256:f54dc9ffe848e2b8e6739f520f22e249728da8005166b052545b8eaf2264b136

Observation 3f6e262e-86fa-4379-998c-548ab87503b2 · outbound

This paper cites Ye, Gset dataset, https://web.stanford.edu/~yyye/yyye/Gset/ (2003).

Variational matrix product states for combinatorial optimization Ye, Gset dataset, https://web.stanford.edu/~yyye/yyye/Gset/ (2003)

Reference 73

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source=pdf_text observed=2026-08-03T14:24:36.267429Z digest=sha256:27f8088e97a5ef8f31d4e186562e50ec74a3ed2b1838a8379c3bd9b8f9137d5c

Pith citing papers

No inbound Pith citation observations are available.