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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

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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 2026-08-07T06:34:17.273281+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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source=pdf_text observed=2026-08-03T14:24:36.154611Z digest=sha256:b4609281d0bd7808da1d0138a4563e29af26d13fc06456cafca99b71d5b8b622

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=sha256:8d698bebf3620759a6a06c9fc72b1e20a7a2e1add5c1712807c59b0b6b54ec2e

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=sha256:7a714b4e916eb67524db237d1b5c048ef2f0cf8f7d1d8c8b5caa2a30144c0d3e

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:beaea5984f16d1175e64617fe5f8cbb5e397c4e043c339974f09d7ab5fbe8032

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=sha256:6a635591d2c7a713b2f73b70137e75440bdd80b35fa40382b7987580954e0ea6

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:bdda6e22f52ad200bfeab41dc66595134808a3e48642e9924574df843a7c44bb

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=sha256:0b0237fea3ec5b324e9a51827316522987101fa5dcdb4ee450b7ca8fb79074b5

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:d7cdb52b95c8b79d5f28905d80d80c28c54a2a19e43aaeea9e1fd37983a180d0

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=sha256:58f67b7c7a852f18910c1aade4b0b661a69a8046d8aee0210b6858dd9a6ee923

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=sha256:4d437f602296b4c127c4f6c477d03a6249fed5b67624246eec2dc5d3f05b7ec0

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:c57a3dd32403dda3a52cbd077fa7b7f0e7e2de41161870f3fd767ce81d9804c8

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=sha256:9e626d8e611cc6019773a134899548827c78bf222c45983c382f9dccbe2f2940

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:bce13555e808a4593cfe3a1f20c46d17d7fe4ec7861f034e950e5c616c18e595

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:e88927b0eb44eb9e3fe0974e6aca8d0612b9dbe9eb77653694b4148cb8efc093

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=sha256:687373b21922f4dc7106753c99d2ea5311ef8784427f4bb494638744746c2009

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:e235ff1cc2d27b253ec404e71f88da29d0cbb7dfe0811dc7a13d0cc11079f437

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:a1f84a36e9d4b124175e010c2cffb53bc47e8cdf73bfa6b527c7f5b352fc9d46

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:e10958d0f6d58378a9a061585cc7b83675f3981750423aa707b07ac8679b02e5

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=sha256:1227138884fa4a7a2da1415d90c60ed0acc5a47a81d0697d008ea05d99f47c0c

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=sha256:24401fd2d5caa615fb4908ce6c5739432fa5cdebd871026c160f0e10bc0e8ac1

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:c928709c5a5b5d3690cedaaf01750bd827e4eb7e723edf495c1d9892acfafa60

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=sha256:1b749d2e09932559579052443a807c6a0c1ef6b6d6b2f654dd9946d41fe5cf89

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=sha256:1dc9e3098fd99c01e33cbae73dd905f677207f4234f2a790dd3dbb0f7330e95e

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:eadfd3d27180b72ad84b5ed9c7626f72e3817a325ef33c501150f6c3ab449532

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=sha256:7525e7716d965275c3993c04943d3506d82dca93878dd545f9b3bf00fda80267

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=sha256:27d4013522e93fef65bd2cc081dacccab7ae5e0f7c187d6580d2c59be1b19a50

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=sha256:87f95975edcfd8138c3be6a1a018e653c71b496f512d3a747a33e806f97732bf

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:b422e1f20387e02a2d7860ac2968c9b98f9830ddd66ed89314abd26f83e1718e

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:f4cb742f7146a2cdb567265c3171b4bc2b370292b9853dcfd0887e4eb8b8e165

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=sha256:9f0f3a99d17cc600ab3ed2359a0194c1aa6efff67a2bbbb7ad4ba7d65b56486b

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=sha256:4d6c96987f02979934c805447332485cd0dcee742bbcb3f492c2b7f70a72b693

Pith citing papers

No inbound Pith citation observations are available.