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Paper Citation Record · LEDGER

Local Equivalences of Graph States

As of 23 August 2026, this Paper Citation Record lists 93 of 93 outbound references and 1 inbound Pith citation observation for arXiv:2511.22271.

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

pith.paper-citation-record.v1
2511.22271 v2

Coverage vector

measured 93 of 93 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:00:06.881154Z

measured 94 of 94 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T14:16:02.665001Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-15T14:20:03.716420Z

Reference resolution

93 of 93 outbound references displayed

  • verified exact12
  • verified fuzzy0
  • unresolved70
  • parse uncertain0
  • malformed identifier11
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3f7f4766-d1a2-4e1c-9cff-a50394e54a06 · outbound

This paper cites an unresolved cited work.

Local Equivalences of Graph States Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-03T20:00:06.636231Z digest=sha256:00cbb96700aa7662dc7e76152eafd698563805a9934057f1a1db14680e97064f

Observation 83e81a24-faf5-4a2f-99e6-306481cdd98c · outbound

This paper cites Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer.

Local Equivalences of Graph States Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Reference 8

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source=pdf_text observed=2026-08-03T20:00:06.639734Z digest=sha256:b652e4c103efeaeaa24e3fe8d21ea156d17c6111758133e888cf60f2a5b275fe

Observation 1202da57-cceb-4234-849e-e4a07c07db8b · outbound

This paper cites an unresolved cited work.

Local Equivalences of Graph States Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-03T20:00:06.642750Z digest=sha256:0e8ea38336566d70654f409f58c70a26fa373e27e1d9e615e8f7d3dcbcc7f0eb

Observation 8acf45c7-0124-456b-b036-a4413748bf6b · outbound

This paper cites Measurement-based quantum computation with cluster states.

Local Equivalences of Graph States Measurement-based quantum computation with cluster states

Reference 10

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Observation 5407d462-8603-4aa5-97bb-9a5bf362ed2e · outbound

This paper cites Measurement-based quantum computation.

Local Equivalences of Graph States Measurement-based quantum computation

Reference 11

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source=pdf_text observed=2026-08-03T20:00:06.648748Z digest=sha256:4205641f29c8c90d7019400a529bbfc22862eacde78e9ada80bf96a788582938

Observation 8b683771-fede-4125-b844-7ca6579e62e0 · outbound

This paper cites Persistent entanglement in arrays of interacting particles.

Local Equivalences of Graph States Persistent entanglement in arrays of interacting particles

Reference 12

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source=pdf_text observed=2026-08-03T20:00:06.651839Z digest=sha256:43e0de38eb471a004c5ac6c09b3397a38bcbaa5aeb351562146a19c03185b000

Observation 9f71932a-7ee7-4fe3-8d4c-211b4a92ba65 · outbound

This paper cites Multi-party entanglement in graph states.

Local Equivalences of Graph States Multi-party entanglement in graph states

Reference 13

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source=pdf_text observed=2026-08-03T20:00:06.654925Z digest=sha256:b85bce581264a6c0acfb8208feedff6009d98f0f2c6b27a3088ccfbb37a31a19

Observation f5ed4b0e-0500-4c99-a2bc-d6683cf9c88f · outbound

This paper cites Resources required for preparing graph states.

Local Equivalences of Graph States Resources required for preparing graph states

Reference 14

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source=pdf_text observed=2026-08-03T20:00:06.657794Z digest=sha256:35e6b62c8de19485ff234638c48f04002b24f0f840e3b452e2118bc4ebcc3703

Observation 87324bee-81e6-49d0-8a44-20ceef0cd547 · outbound

This paper cites Optimal preparation of graph states.

Local Equivalences of Graph States Optimal preparation of graph states

Reference 15

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source=pdf_text observed=2026-08-03T20:00:06.660340Z digest=sha256:8c9c2cadcc96baab33d22d30974b6041351c612395ad65d2342f5d9a36a647a4

Observation adca5fec-bb5d-443e-88c6-74994cc5ab1c · outbound

This paper cites Photonic graph state generation from quantum dots and color centers for quantum communications.

Local Equivalences of Graph States Photonic graph state generation from quantum dots and color centers for quantum communications

Reference 16

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Observation 6a9530d6-161f-4b9c-b7db-5bdb9ab3e7e8 · outbound

This paper cites Photonic resource state generation from a minimal number of quantum emitters.

Local Equivalences of Graph States Photonic resource state generation from a minimal number of quantum emitters

Reference 17

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source=pdf_text observed=2026-08-03T20:00:06.665780Z digest=sha256:2632d93d00b84529ebfc10e4cb2a3fb6329877588c56952d7a524f3ef89127f6

Observation a4177700-bad8-4b2f-84a9-35ea18bbc06e · outbound

This paper cites Optimization of deterministic photonic graph state generation via local operations.

Local Equivalences of Graph States Optimization of deterministic photonic graph state generation via local operations

Reference 18

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source=pdf_text observed=2026-08-03T20:00:06.668577Z digest=sha256:771c2cd097e744d024ec73cfcc550d3efd31f85abf8f7a5ae6dc8cdcc976bd69

Observation 1cd93127-7acb-44fa-982c-422354e6de87 · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Local Equivalences of Graph States Stabilizer Codes and Quantum Error Correction

Reference 19

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source=pdf_text observed=2026-08-03T20:00:06.671188Z digest=sha256:bec5a8e8f9224d773bf5fb0cd45410d539ba75897e126d818d9a0c9438385ea9

Observation 1567ee67-ae89-461f-b19f-e8f930ef694f · outbound

This paper cites Graphs, Quadratic Forms, and Quantum Codes.

Local Equivalences of Graph States Graphs, Quadratic Forms, and Quantum Codes

Reference 20

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source=pdf_text observed=2026-08-03T20:00:06.673965Z digest=sha256:dc609b6260598862b268a049b208d052a98b4e8f07bed37bea0e41581c64b9c6

Observation 09b698a3-1340-43b2-9dfa-077980ddbd7a · outbound

This paper cites Good Quantum Error-Correcting Codes Exist.

Local Equivalences of Graph States Good Quantum Error-Correcting Codes Exist

Reference 21

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source=pdf_text observed=2026-08-03T20:00:06.676365Z digest=sha256:6e2937647dfb460b9ac7f3636756868eba0208a2eb485f223db136ba3f8d02bd

Observation 13b84022-5232-4bfe-b629-28250a2b9b99 · outbound

This paper cites Multiple Particle Interference and Quantum Error Correction.

Local Equivalences of Graph States Multiple Particle Interference and Quantum Error Correction

Reference 22

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source=pdf_text observed=2026-08-03T20:00:06.679245Z digest=sha256:7c7f4eba4f48fcc9cdc2f6af018ef567e614a424cad3c19e385c6952fac81b44

Observation 6b53563a-749e-47b3-9927-2264b99421d5 · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

Local Equivalences of Graph States The Heisenberg Representation of Quantum Computers

Reference 23

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source=pdf_text observed=2026-08-03T20:00:06.682144Z digest=sha256:aa58ad010a348eba1278e59bd2542e721a6629f0b52201584ce778765ad24a1e

Observation 852c4295-017f-4b1a-9bab-9ff624bef810 · outbound

This paper cites Improved Simulation of Stabilizer Circuits.

Local Equivalences of Graph States Improved Simulation of Stabilizer Circuits

Reference 24

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source=pdf_text observed=2026-08-03T20:00:06.684757Z digest=sha256:33a5f47725094a4553cde8a65f7552ab154615da4191556f3b75e6c2b67e0bcc

Observation 6c722fc9-f4cf-4aa3-a886-bce10d13a199 · outbound

This paper cites Quantum error-correcting codes associated with graphs.

Local Equivalences of Graph States Quantum error-correcting codes associated with graphs

Reference 25

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source=pdf_text observed=2026-08-03T20:00:06.687483Z digest=sha256:540650ef9b4f82f71caf45238dd2052e0a298a0cd7c5ec832f54d471ce60771c

Observation 43b14cc1-5f2d-4194-8b10-b70e9395a74b · outbound

This paper cites Stabilizer codes can be realized as graph codes.

Local Equivalences of Graph States Stabilizer codes can be realized as graph codes

Reference 26

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source=pdf_text observed=2026-08-03T20:00:06.689952Z digest=sha256:802f158b6296197b1a28875f0def0b0222d3f45a367ada6024b468eb1e219403

Observation 0cee64bc-5d2b-4a2b-a04d-ac9b2d7ca851 · outbound

This paper cites Quantum Computing from Graphs.

Local Equivalences of Graph States Quantum Computing from Graphs

Reference 27

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source=pdf_text observed=2026-08-03T20:00:06.692593Z digest=sha256:218bcb3c496da2ffe56d00f5348d91a147255fd2de82404e5b56c091c1770b3a

Observation d6664b1d-9b49-4334-b705-8a5c98ee1519 · outbound

This paper cites Graph States for Quantum Secret Sharing.

Local Equivalences of Graph States Graph States for Quantum Secret Sharing

Reference 28

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source=pdf_text observed=2026-08-03T20:00:06.695218Z digest=sha256:9f3a7e6beb5d812a4c7fe8a7b3a4f5b02961f45063a9cc4a46a5fe99cd7d7c7b

Observation 3394eeb8-6e1c-4860-a2c7-16665566e903 · outbound

This paper cites Quantum secret sharing with qudit graph states.

Local Equivalences of Graph States Quantum secret sharing with qudit graph states

Reference 29

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Observation 67e62cf2-628d-4d4a-9598-248cbfef9a36 · outbound

This paper cites New Protocols and Lower Bound for Quantum Secret Sharing with Graph States.

Local Equivalences of Graph States New Protocols and Lower Bound for Quantum Secret Sharing with Graph States

Reference 30

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source=pdf_text observed=2026-08-03T20:00:06.700481Z digest=sha256:c32555673c4a5901e5d85d3b30f2f277a518a46b7ab17f56982282284e1589b9

Observation 23bfd3df-5d81-48c4-8196-7f732d90c2e5 · outbound

This paper cites Quantum secret sharingwithgraphstates.

Local Equivalences of Graph States Quantum secret sharingwithgraphstates

Reference 31

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source=pdf_text observed=2026-08-03T20:00:06.703150Z digest=sha256:0bc9b6519f5ce0d7f0a613f6126c19708198c7524da867d9f4290ee2c7d3631a

Observation 2ad875c5-e83c-42a3-82be-7af9a96ec30a · outbound

This paper cites Experimental demonstration of graph-state quantum secret sharing.

Local Equivalences of Graph States Experimental demonstration of graph-state quantum secret sharing

Reference 32

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Observation a09eb472-ea75-4be7-8ad8-12eb1d11ecc6 · outbound

This paper cites All photonic quantum repeaters.

Local Equivalences of Graph States All photonic quantum repeaters

Reference 33

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source=pdf_text observed=2026-08-03T20:00:06.708382Z digest=sha256:4da59eb180178d3d964930c6c382f3a5b9f33b22dae010dd217a16e838f24d79

Observation 51fa7048-0cf4-443c-97c2-bfbc275c58df · outbound

This paper cites Quantum repeaters: From quantum networks to the quantum internet.

Local Equivalences of Graph States Quantum repeaters: From quantum networks to the quantum internet

Reference 34

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source=pdf_text observed=2026-08-03T20:00:06.710934Z digest=sha256:2ce9b05ac6457cbe42f78bce6578c0cb246d21557f4d9adff6ec9feed97e8b80

Observation a1cdfa8b-8bb0-48f4-b785-7a6d39b218d6 · outbound

This paper cites Quantum network routing and local complementation.

Local Equivalences of Graph States Quantum network routing and local complementation

Reference 35

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source=pdf_text observed=2026-08-03T20:00:06.713390Z digest=sha256:ab70ba838e2a738688da4a3449569041591be4e9d699d7d6f32a5eea904483be

Observation c7b6ed21-ffe3-4e04-9b6b-3eb2b87762db · outbound

This paper cites Generating $k$ EPR-pairs from an $n$-party resource state.

Local Equivalences of Graph States Generating $k$ EPR-pairs from an $n$-party resource state

Reference 36

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Observation c3a76089-49f4-4a79-94e5-1b1afe9c66fb · outbound

This paper cites Distributing Graph States Over Arbitrary Quantum Networks.

Local Equivalences of Graph States Distributing Graph States Over Arbitrary Quantum Networks

Reference 37

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source=pdf_text observed=2026-08-03T20:00:06.718708Z digest=sha256:979d48c005c10c0ff1627478436d11fbef13b47fd53b8b1a9065ab28fc0a3a5f

Observation 93a6b429-1084-4e16-9304-63b7c2620b91 · outbound

This paper cites Distributing graph states across quantum networks.

Local Equivalences of Graph States Distributing graph states across quantum networks

Reference 38

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source=pdf_text observed=2026-08-03T20:00:06.721933Z digest=sha256:26ac80b63ebc0efbefa1f550cf024542b4e1e5327d5234113de3145c53c770e7

Observation b1982678-f498-4983-a590-a291336ab2bf · outbound

This paper cites Multiparty Entanglement Routing in Quantum Networks.

Local Equivalences of Graph States Multiparty Entanglement Routing in Quantum Networks

Reference 39

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source=pdf_text observed=2026-08-03T20:00:06.724726Z digest=sha256:b23770d9a019e29097566b4ba2df3d9382b47064232dc6f4963fb22f06db72d2

Observation fb99d119-6bf7-4e3e-896e-7fa0b2cde9d3 · outbound

This paper cites Vertex-minors of graphs: A survey.Discrete Ap- plied Mathematics, 351:54–73, 2024.

Local Equivalences of Graph States Vertex-minors of graphs: A survey.Discrete Ap- plied Mathematics, 351:54–73, 2024

Reference 40

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source=pdf_text observed=2026-08-03T20:00:06.727430Z digest=sha256:434b5a877eee30928304c69a63dbe43894e09d4440f851613c1302f03ce29a33

Observation 76eda4ad-e201-4eaf-9e3c-0578e1a7c812 · outbound

This paper cites Transforming graph states to Bell-pairs is NP-Complete.

Local Equivalences of Graph States Transforming graph states to Bell-pairs is NP-Complete

Reference 41

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source=pdf_text observed=2026-08-03T20:00:06.729800Z digest=sha256:94095bd42c88314d587538973c9bbf583b5c5df9b555791d193ca540dd8a0b97

Observation 6cf29559-83f9-493a-a0d9-d41e60969d8d · outbound

This paper cites Some Open Problems in Quantum Information Theory.

Local Equivalences of Graph States Some Open Problems in Quantum Information Theory

Reference 42

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source=pdf_text observed=2026-08-03T20:00:06.732440Z digest=sha256:95dd1297a1e115cd1cf915af9b30a0241b0b31b943f868c434432dcbf4fa7904

Observation 8306317d-78f5-4102-ac56-c8ba1ee074e6 · outbound

This paper cites The LU-LC conjecture is false.

Local Equivalences of Graph States The LU-LC conjecture is false

Reference 43

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source=pdf_text observed=2026-08-03T20:00:06.735081Z digest=sha256:685af19978aa5240830fa7d9b1e9672ea9af8e93540aebfe3238ececda03e657

Observation 70b2ae4c-3313-4fb2-8871-8e47f61e799b · outbound

This paper cites Entanglement in Graph States and its Applications.

Local Equivalences of Graph States Entanglement in Graph States and its Applications

Reference 44

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source=pdf_text observed=2026-08-03T20:00:06.737635Z digest=sha256:e76d7b6c30dc8b414f47a91d70d9b7fae495fd032b6fd4a3c6867019676471e7

Observation 013e44aa-e0a0-42b1-ab65-bb958a60f593 · outbound

This paper cites Graphical description of the action of local Clifford transformations on graph states.

Local Equivalences of Graph States Graphical description of the action of local Clifford transformations on graph states

Reference 45

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source=pdf_text observed=2026-08-03T20:00:06.740388Z digest=sha256:9a043c108ca933df3c74c4ccfea98ead40f584117c09874b47bf461cf0ff6518

Observation 60c65d43-d8d1-4f80-a85b-271c68854ad4 · outbound

This paper cites Normal forms and entanglement measures for multipartite quantum states.

Local Equivalences of Graph States Normal forms and entanglement measures for multipartite quantum states

Reference 46

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source=pdf_text observed=2026-08-03T20:00:06.743353Z digest=sha256:dc30201ce1522df2fbdf66b0c7eb4e3f069905fad7a8a808e764b55897d45512

Observation 124203f8-ec1e-4810-a3d4-b81732fedcbf · outbound

This paper cites The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2).

Local Equivalences of Graph States The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2)

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source=pdf_text observed=2026-08-03T20:00:06.745934Z digest=sha256:51c3a9bacf7820c65c123dfa82fac445209e730df3bd1ac8eb5de3408d407031

Observation 5ed13139-92f5-4d9b-8c7b-25a657436d09 · outbound

This paper cites Transversality versus Universality for Additive Quantum Codes.

Local Equivalences of Graph States Transversality versus Universality for Additive Quantum Codes

Reference 48

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source=pdf_text observed=2026-08-03T20:00:06.748509Z digest=sha256:50719940c8f6dd7c222c6cd552dcab80c6595e85bdb5fd5557bf231f315b26e6

Observation 2828ddc0-6a32-4286-bee9-d80dcd437dd4 · outbound

This paper cites Graph states and local unitary transformations beyond local Clifford operations.

Local Equivalences of Graph States Graph states and local unitary transformations beyond local Clifford operations

Reference 49

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source=pdf_text observed=2026-08-03T20:00:06.751107Z digest=sha256:85f14bdb973e44eeef8f97e80a3af6a108a515a25a110984e3873085933b28d2

Observation 49d3efd0-a23d-4039-a993-3f09eb3c3b94 · outbound

This paper cites Isotropic systems.European Journal of Combinatorics, 8(3):231–244, 1987.doi:10.1016/S0195-6698(87)80027-6.

Local Equivalences of Graph States Isotropic systems.European Journal of Combinatorics, 8(3):231–244, 1987.doi:10.1016/S0195-6698(87)80027-6

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source=pdf_text observed=2026-08-03T20:00:06.753581Z digest=sha256:5b25a6feefda7435f2f6e0f4f0e74705622ad352e5d8bbc5d0d7e5e623cbea6b

Observation f0548283-f1e7-4954-b456-539e300a0737 · outbound

This paper cites Digraph decompositions and Eulerian systems.SIAM Journal on Algebraic Discrete Methods, 8(3):323–337, 1987.doi:10.1137/0608028.

Local Equivalences of Graph States Digraph decompositions and Eulerian systems.SIAM Journal on Algebraic Discrete Methods, 8(3):323–337, 1987.doi:10.1137/0608028

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

source=pdf_text observed=2026-08-03T20:00:06.756323Z digest=sha256:cb2ecc771a1f398d729323142b8d810755d49a6cea851c247e10b4dcfbc70e8b

Observation da52f37d-1429-499e-8d43-1d7186b55041 · outbound

This paper cites Reducing prime graphs and recognizing circle graphs.Combinatorica, 7(3):243–254, Sep 1987.doi:10.1007/BF02579301.

Local Equivalences of Graph States Reducing prime graphs and recognizing circle graphs.Combinatorica, 7(3):243–254, Sep 1987.doi:10.1007/BF02579301

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source=pdf_text observed=2026-08-03T20:00:06.758759Z digest=sha256:2615868bfad10e4b5c50b511eb63fd8a7b262182e3b250b77c8e022faa5a51db

Observation 5a4ef209-32dd-47bd-9071-3ea690527ac4 · outbound

This paper cites Graphic presentations of isotropic systems.Journal of Combinatorial Theory, Series B, 45(1):58–76, 1988.doi:10.1016/0095-8956(88)90055-X.

Local Equivalences of Graph States Graphic presentations of isotropic systems.Journal of Combinatorial Theory, Series B, 45(1):58–76, 1988.doi:10.1016/0095-8956(88)90055-X

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source=pdf_text observed=2026-08-03T20:00:06.761251Z digest=sha256:c103d2018e7fc9a77b546826c2a183dc5f229c90e4d2e249190d6034133edd79

Observation 3e881993-166f-4450-ab9d-eeb69425a53e · outbound

This paper cites Transforming trees by successive local complementations.Journal of Graph Theory, 12:195–207, 1988.doi:10.1002/jgt.3190120210.

Local Equivalences of Graph States Transforming trees by successive local complementations.Journal of Graph Theory, 12:195–207, 1988.doi:10.1002/jgt.3190120210

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source=pdf_text observed=2026-08-03T20:00:06.763873Z digest=sha256:17dcdaaa5457540f9ec289137e98844be3f9498db35720cdffe6fd581b00f949

Observation 694cdde6-69d0-49f6-9120-4a46f068616a · outbound

This paper cites Connectivity of isotropic systems.Annals of the New York Academy of Sciences, 555(1):81–93, 1989.doi:10.1111/j.1749-6632.1989.tb22439.x.

Local Equivalences of Graph States Connectivity of isotropic systems.Annals of the New York Academy of Sciences, 555(1):81–93, 1989.doi:10.1111/j.1749-6632.1989.tb22439.x

Reference 55

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source=pdf_text observed=2026-08-03T20:00:06.766441Z digest=sha256:41204ff5d5880eefee36d005c48924801e29ce8c464eff6ae689e3e9347d8d70

Observation 1c331927-8044-4c82-a455-178d1e0d6b21 · outbound

This paper cites An efficient algorithm to recognize locally equivalent graphs.Combi- natorica, 11(4):315–329, Dec 1991.doi:10.1007/BF01275668.

Local Equivalences of Graph States An efficient algorithm to recognize locally equivalent graphs.Combi- natorica, 11(4):315–329, Dec 1991.doi:10.1007/BF01275668

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source=pdf_text observed=2026-08-03T20:00:06.769098Z digest=sha256:ce6cd831c7e3519b1cbb34c355dd12ef1b4a09a5eb66210d6459c50f64c14ab7

Observation 650eeff3-afc0-4db5-b13c-6c670962f57f · outbound

This paper cites Recognizing locally equivalent graphs.Discrete Mathematics, 114(1):75–86, 1993.doi:10.1016/0012-365X(93)90357-Y.

Local Equivalences of Graph States Recognizing locally equivalent graphs.Discrete Mathematics, 114(1):75–86, 1993.doi:10.1016/0012-365X(93)90357-Y

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source=pdf_text observed=2026-08-03T20:00:06.771803Z digest=sha256:2abe0312ccbd2b9bcfad462e516eae4e2e7fef494d06e5e512c796ef1445ad7b

Observation 0e2342f8-9c8a-4f25-896a-725361a3f522 · outbound

This paper cites Circle graph obstructions.Journal of Combinatorial Theory, Series B, 60(1):107–144, 1994.doi:10.1006/jctb.1994.1008.

Local Equivalences of Graph States Circle graph obstructions.Journal of Combinatorial Theory, Series B, 60(1):107–144, 1994.doi:10.1006/jctb.1994.1008

Reference 58

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source=pdf_text observed=2026-08-03T20:00:06.774318Z digest=sha256:bae873ddf0c6dabeefd80aa74a808e92b69ed6cf92a6c304b048c95793ee4ff6

Observation 402baf5e-0b71-4606-9d9d-0e5de7191dba · outbound

This paper cites Multimatroids III.

Local Equivalences of Graph States Multimatroids III

Reference 59

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source=pdf_text observed=2026-08-03T20:00:06.776788Z digest=sha256:0f0c5387222e8683a3b7694263b542e5335c81366268fecf6d3ce6ff73b493d0

Observation 4aafe46d-4bd8-45c0-b43f-fff95e6b94d7 · outbound

This paper cites Eulerian lines in finite 4-valent graphs and their transformations.Theory of Graphs, pages 219–230, 1968.

Local Equivalences of Graph States Eulerian lines in finite 4-valent graphs and their transformations.Theory of Graphs, pages 219–230, 1968

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source=pdf_text observed=2026-08-03T20:00:06.779310Z digest=sha256:b851ea2b5aa22e8a117de59adbce72e7abed6365b7110e88ab6c891f77cb075e

Observation aaa55405-56da-46fb-a6d8-f6c9e886bcce · outbound

This paper cites Quelques remarques sur les transformationsκ, 1977.

Local Equivalences of Graph States Quelques remarques sur les transformationsκ, 1977

Reference 61

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source=pdf_text observed=2026-08-03T20:00:06.781775Z digest=sha256:a0ca1ab13f4ba56ab563830717310ba6c1d0a4a688124de2796e28561aae263c

Observation d6778bf2-c673-41bf-8d83-198708e675b3 · outbound

This paper cites An efficient algorithm to recognize local Clifford equivalence of graph states.

Local Equivalences of Graph States An efficient algorithm to recognize local Clifford equivalence of graph states

Reference 62

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source=pdf_text observed=2026-08-03T20:00:06.784338Z digest=sha256:d3841894863da209f8358b957376f05009156ab9ccf50dd8b2a337c673b6136f

Observation 34e04a67-7e0b-48de-a1d6-ef3d2b62d674 · outbound

This paper cites Graph States, Pivot Minor, and Universality of (X,Z)-measurements.

Local Equivalences of Graph States Graph States, Pivot Minor, and Universality of (X,Z)-measurements

Reference 63

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source=pdf_text observed=2026-08-03T20:00:06.787144Z digest=sha256:4fb888f66703293a6c37ba73090f068d24abacbf42f9246c8df24364d2375c12

Observation 033dcf3f-0001-471f-a475-9d6e71591e85 · outbound

This paper cites Edge-local equivalence of graphs.

Local Equivalences of Graph States Edge-local equivalence of graphs

Reference 64

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source=pdf_text observed=2026-08-03T20:00:06.789799Z digest=sha256:9ccb2953925b3e94de57138f42348eb41d6ac7a88155d2e63775f3f4a08daf2a

Observation 49a66f6a-4370-4b87-a9e1-63522809a40b · outbound

This paper cites Approximatingclique-widthandbranch-width.Journal of Combinatorial Theory, Series B, 96(4):514–528, 2006.doi:10.1016/j.jctb.2005.

Local Equivalences of Graph States Approximatingclique-widthandbranch-width.Journal of Combinatorial Theory, Series B, 96(4):514–528, 2006.doi:10.1016/j.jctb.2005

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source=pdf_text observed=2026-08-03T20:00:06.792644Z digest=sha256:d28a7e3f52446a49a605f3c31cd59991a213120f660dc984f9d7bd3df94fda47

Observation 1b4ba613-5551-4653-b30c-465967a3959b · outbound

This paper cites Nielsen and Isaac L.

Local Equivalences of Graph States Nielsen and Isaac L

Reference 66

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source=pdf_text observed=2026-08-03T20:00:06.795094Z digest=sha256:dc70fbf067ac9e0f6089c70d3f98bbaadba34262f58ebb1167113cf26d201f00

Observation 52acecc0-4fb7-4cfb-a709-c45393eee6fd · outbound

This paper cites Rank-width and vertex-minors.Journal of Combinatorial Theory, Series B, 95(1):79–100, 2005.doi:10.1016/j.jctb.2005.03.003.

Local Equivalences of Graph States Rank-width and vertex-minors.Journal of Combinatorial Theory, Series B, 95(1):79–100, 2005.doi:10.1016/j.jctb.2005.03.003

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source=pdf_text observed=2026-08-03T20:00:06.797422Z digest=sha256:1de9cbd582514ea9dcf1d45a1595b8d76641bb093e47fe9aca5c0ada769fc6ed

Observation 3be4f1e1-632b-4a87-adb5-81e9c664d294 · outbound

This paper cites an unresolved cited work.

Local Equivalences of Graph States Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-03T20:00:06.799829Z digest=sha256:797909df1de6e86ce8f3924c9e35657e281ace240e4008e7e81d634e4e1afc76

Observation ccfedd7c-5b3e-439e-b11b-1209bc47ff09 · outbound

This paper cites On the Minimum Degree up to Local Complementation: Bounds and Complexity.

Local Equivalences of Graph States On the Minimum Degree up to Local Complementation: Bounds and Complexity

Reference 69

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source=pdf_text observed=2026-08-03T20:00:06.802341Z digest=sha256:a2fd49725a9b017fd512beb1b116a993db9a5be4230b65832ac53f65ca0a412e

Observation 877f9f67-e467-4c09-924f-5502148d8d0d · outbound

This paper cites Minimum Degree up to Local Complementation: Bounds, Parameterized Complexity, and Exact Algorithms.

Local Equivalences of Graph States Minimum Degree up to Local Complementation: Bounds, Parameterized Complexity, and Exact Algorithms

Reference 70

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source=pdf_text observed=2026-08-03T20:00:06.805135Z digest=sha256:0ab036c277e53002bd430c86f3b4c18ad49e5195046c7c5e1fab2c8d46a99015

Observation f1dc4709-5bc8-43f3-a701-7cd2a0b8c2bf · outbound

This paper cites Local unitary versus local Clifford equivalence of stabilizer states.

Local Equivalences of Graph States Local unitary versus local Clifford equivalence of stabilizer states

Reference 71

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source=pdf_text observed=2026-08-03T20:00:06.807834Z digest=sha256:2cb0ed8db02826fdfd34dc210afe8a3f180d495634f59c8b733f7505fbf9f935

Observation 4da66dd1-1a2c-4408-ac4d-bd23c41ad4b4 · outbound

This paper cites Bunch and John E.

Local Equivalences of Graph States Bunch and John E

Reference 72

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source=pdf_text observed=2026-08-03T20:00:06.810407Z digest=sha256:c478b6304ca5b8549928d4ae0f24bdd3bea4dd9aca97da6d572410a9c164ff31

Observation 4a21f960-2fa5-4bec-a11f-254a316c9d45 · outbound

This paper cites Ibarra, Shlomo Moran, and Roger Hui.

Local Equivalences of Graph States Ibarra, Shlomo Moran, and Roger Hui

Reference 73

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source=pdf_text observed=2026-08-03T20:00:06.813100Z digest=sha256:2c2f33f9cb5637bff5a7f1938ee1deff9b7263022a489528453937eda1441657

Observation b67a9e72-1209-4d69-b4d0-5ef4f997520c · outbound

This paper cites Graph States Under the Action of Local Clifford Group in Non-Binary Case.

Local Equivalences of Graph States Graph States Under the Action of Local Clifford Group in Non-Binary Case

Reference 74

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source=pdf_text observed=2026-08-03T20:00:06.815573Z digest=sha256:f116acf515b31530e9bb230e2f9b22720291f0f01a43ee0c29b347ad1b01673c

Observation d5b9dcb9-7366-44f7-89c7-d1062ae35ad8 · outbound

This paper cites Nonbinary stabilizer codes over finite fields.

Local Equivalences of Graph States Nonbinary stabilizer codes over finite fields

Reference 75

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source=pdf_text observed=2026-08-03T20:00:06.818238Z digest=sha256:f810d0ca5cda0e15a7f631d13765b8538fd5d9954110c298470c7f28ea3ce9f7

Observation 6882bbb9-3666-423c-9881-1f4960c4a377 · outbound

This paper cites Access structure in graphs in high dimension and application to secret sharing.

Local Equivalences of Graph States Access structure in graphs in high dimension and application to secret sharing

Reference 76

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source=pdf_text observed=2026-08-03T20:00:06.821047Z digest=sha256:71775fedb101a78b7bceaea8812273341399181543ca5a6e1110f383ca62a7c5

Observation 9512488d-9ae0-4e64-a674-81e60c7c3306 · outbound

This paper cites The Rank-Width of Edge-Colored Graphs.

Local Equivalences of Graph States The Rank-Width of Edge-Colored Graphs

Reference 77

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source=pdf_text observed=2026-08-03T20:00:06.823699Z digest=sha256:b6535548d99d5eab93536ca67ce24300c7d5ca311a645dc1eae84078dab80b2a

Observation 0ca4e051-8254-41c0-9acc-a28035d49d45 · outbound

This paper cites Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation.

Local Equivalences of Graph States Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation

Reference 78

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source=pdf_text observed=2026-08-03T20:00:06.826442Z digest=sha256:a9fba6ddfac8f29e225e0a842c41caba29ec8a56a2f234f9169ce357959bc9ea

Observation 3b8a1552-0b63-41e2-b8c8-24f13c91a763 · outbound

This paper cites Diagonal gates in the Clifford hierarchy.

Local Equivalences of Graph States Diagonal gates in the Clifford hierarchy

Reference 79

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source=pdf_text observed=2026-08-03T20:00:06.829098Z digest=sha256:c7b6d50732f50d7d8d73a63f70cd8f28c9dd7ff67fab5fd78a00751c7ec97b64

Observation e56b46f1-dc47-4847-810a-70c464605fd0 · outbound

This paper cites Exact Synthesis of Multiqubit Clifford-Cyclotomic Circuits.

Local Equivalences of Graph States Exact Synthesis of Multiqubit Clifford-Cyclotomic Circuits

Reference 80

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source=pdf_text observed=2026-08-03T20:00:06.832244Z digest=sha256:fd98044980f543c90c731d6bd9a99aac041a83109deabaaee3f2d1de918e9560

Observation 51496a62-779d-4c36-a5f9-c531786711e6 · outbound

This paper cites an unresolved cited work.

Local Equivalences of Graph States Unresolved cited work

Reference 81

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source=pdf_text observed=2026-08-03T20:00:06.834905Z digest=sha256:7f34bac8703373f0b5c29e8e89431dc8d170dcddebacb1fb890b9320a9db9df4

Observation ece49637-3c42-436b-8ae7-0db0ce1ea138 · outbound

This paper cites Algorithm to Verify Local Equivalence of Stabilizer States.

Local Equivalences of Graph States Algorithm to Verify Local Equivalence of Stabilizer States

Reference 82

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source=pdf_text observed=2026-08-03T20:00:06.837466Z digest=sha256:4c6e2a94e1d78f265aa8adf613b05974e1a7a87ee823cd5c8f87581aa49e3266

Observation fa8ef3a3-8dae-4caa-8b79-205c59a6e2cf · outbound

This paper cites Cam- bridge university press, 1952.

Local Equivalences of Graph States Cam- bridge university press, 1952

Reference 83

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source=pdf_text observed=2026-08-03T20:00:06.840156Z digest=sha256:0c92366a9c0c81ba61c629a53c5f5b43d8a833f6e0cfa45d06dfa4e69202fde9

Observation 0bd320f7-6472-4f3d-b3cb-221e1272b482 · outbound

This paper cites Symmetries and entanglement of stabilizer states.

Local Equivalences of Graph States Symmetries and entanglement of stabilizer states

Reference 84

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Observation 79362a25-7756-4220-8c1a-a8969b15b726 · outbound

This paper cites PhD thesis, ETH Zurich,.

Local Equivalences of Graph States PhD thesis, ETH Zurich,

Reference 85

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Observation 5ea5790c-94c5-4097-a3be-5ce0ed9fc2df · outbound

This paper cites On the local equivalence of complete bipartite and repeater graph states.

Local Equivalences of Graph States On the local equivalence of complete bipartite and repeater graph states

Reference 86

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Observation e6d3a99a-71c3-454d-9522-6f29e16132db · outbound

This paper cites On Local Equivalence, Surface Code States and Matroids.

Local Equivalences of Graph States On Local Equivalence, Surface Code States and Matroids

Reference 87

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Observation 0db007c4-94bd-4e82-a3f6-fb95c6f47621 · outbound

This paper cites Local unitary versus local Clifford equivalence of stabilizer and graph states.

Local Equivalences of Graph States Local unitary versus local Clifford equivalence of stabilizer and graph states

Reference 88

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Observation f98a20e5-3628-4616-bcdc-4f1de5bc6361 · outbound

This paper cites Entanglement in eight-qubit graph states.

Local Equivalences of Graph States Entanglement in eight-qubit graph states

Reference 89

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Observation 8a287ee1-466c-4be3-93eb-81805a4d5a3a · outbound

This paper cites How to transform graph states using single-qubit operations: computational complexity and algorithms.

Local Equivalences of Graph States How to transform graph states using single-qubit operations: computational complexity and algorithms

Reference 90

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Observation 9f415e13-796e-48f6-b9e1-2eda63f883a0 · outbound

This paper cites Transforming graph states using single-qubit operations.

Local Equivalences of Graph States Transforming graph states using single-qubit operations

Reference 91

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Observation 33d3de31-348d-4c19-862e-912af6c5e54c · outbound

This paper cites Enumerating the Classes of Local Equivalency in Graphs.

Local Equivalences of Graph States Enumerating the Classes of Local Equivalency in Graphs

Reference 92

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Observation 8d1dd4ec-c428-4f96-bc75-d9f6618a4566 · outbound

This paper cites Mapping graph state orbits under local complementation.

Local Equivalences of Graph States Mapping graph state orbits under local complementation

Reference 93

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Observation 9fda9c8f-e325-4cf0-a33b-e7433b9b9116 · outbound

This paper cites Counting single-qubit Clifford equivalent graph states is #P-Complete.

Local Equivalences of Graph States Counting single-qubit Clifford equivalent graph states is #P-Complete

Reference 94

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Observation 94a20fd3-27b4-4572-961e-78eaa46011e7 · outbound

This paper cites Complexity of graph-state preparation by Clifford circuits.

Local Equivalences of Graph States Complexity of graph-state preparation by Clifford circuits

Reference 95

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Observation 11ee7c1f-18e1-4440-895e-a396b03ba4ce · outbound

This paper cites Preparing graph states forbidding a vertex-minor.

Local Equivalences of Graph States Preparing graph states forbidding a vertex-minor

Reference 96

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Observation c4182ccb-4aeb-4b83-a4bf-97c04099b424 · outbound

This paper cites Minimizing the number of edges in LC-equivalent graph states, 2025.

Local Equivalences of Graph States Minimizing the number of edges in LC-equivalent graph states, 2025

Reference 97

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Observation 678659c2-353a-44ec-b1fe-d9bd47df2ba2 · outbound

This paper cites Quantum Graph States: Bridging Classical Theory and Quantum Innovation, Workshop Summary.

Local Equivalences of Graph States Quantum Graph States: Bridging Classical Theory and Quantum Innovation, Workshop Summary

Reference 98

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Observation 74275916-fe1f-4aad-b8ab-bb943a7ba192 · outbound

This paper cites an unresolved cited work.

Local Equivalences of Graph States Unresolved cited work

Reference 2000

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Pith citing papers

Observation 39918eda-cf17-4ad3-92c4-7fc931fbb1a1 · inbound

The Structure of Circle Graph States cites this paper.

The Structure of Circle Graph States Local Equivalences of Graph States

Reference 54

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