Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits | Paper Citation Record

Observation 6a8e55dd-135d-48b2-b3c9-2648c26e2927 · outbound

This paper cites Namely, up 8 n Gate ξ 1 Z 1 2 CZ 1 3 CCZ 1.77778 4 C 3Z 2.25000 5 C 4Z 2.50694 6 C 5Z 2.64063 7 C 6Z 2.70877 (a) Cn−1Z gates.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Namely, up 8 n Gate ξ 1 Z 1 2 CZ 1 3 CCZ 1.77778 4 C 3Z 2.25000 5 C 4Z 2.50694 6 C 5Z 2.64063 7 C 6Z 2.70877 (a) Cn−1Z gates

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Observation 14eeb2da-38d7-4578-a1ec-593047a2ec4b · outbound

This paper cites Because these gates are real-diagonal 9 Ci sets used during optimization Min.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Because these gates are real-diagonal 9 Ci sets used during optimization Min

Reference 2

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

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Observation ff67ade2-f1cd-4ec5-b1fa-0c8025df518e · outbound

This paper cites Because the number of hyper- graphs of five vertices is extremely large, we focus on the study of k-uniform hypergraphs, that is, hypergraphs whose hyperedges have fixed order k.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Because the number of hyper- graphs of five vertices is extremely large, we focus on the study of k-uniform hypergraphs, that is, hypergraphs whose hyperedges have fixed order k

Reference 4

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Observation a1446244-013a-4a0c-bf6b-4d54ea1c222d · outbound

This paper cites 9 is known to be universal for MBQC with Pauli measurements [35].

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits 9 is known to be universal for MBQC with Pauli measurements [35]

Reference 5

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Observation 8d7cba20-e527-4640-a781-ef65995e8ffb · outbound

This paper cites By definition ξ(AB) ≤ ∥z∥2 1 and we can upperbound ∥z∥1 as follows: ∥z∥1 = X K∈Cn X C∈Cn xCyC†K ! ≤ X K,C∈Cn |xCyC†K| = ∥x∥1∥y∥1.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits By definition ξ(AB) ≤ ∥z∥2 1 and we can upperbound ∥z∥1 as follows: ∥z∥1 = X K∈Cn X C∈Cn xCyC†K ! ≤ X K,C∈Cn |xCyC†K| = ∥x∥1∥y∥1

Reference 6

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Observation d6a17a75-5806-44c6-89c7-9da85aae4220 · outbound

This paper cites By definition ξ(A ⊗ B) ≤ P C∈Cn P C′∈Cn′ |xCyC′| 2 = ξ(A)ξ(B).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits By definition ξ(A ⊗ B) ≤ P C∈Cn P C′∈Cn′ |xCyC′| 2 = ξ(A)ξ(B)

Reference 7

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Observation 7de81172-4aab-4b74-a3ae-16a387520bb4 · outbound

This paper cites Arute, K.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Arute, K

Reference 8

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Observation ee45bb0e-d6b5-452d-b0d9-4d153098b0d8 · outbound

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

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Observation 71de8849-782e-4b1f-ace8-5829e933ebf2 · outbound

This paper cites Morvan, B.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Morvan, B

Reference 10

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Observation 04cddc74-dff4-4449-b1e1-4fb316c1f2a4 · outbound

This paper cites Beguˇ si´ c, J.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Beguˇ si´ c, J

Reference 11

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Observation 287f6067-513c-4fec-9c1d-ad5c654452eb · outbound

This paper cites Tindall, M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Tindall, M

Reference 12

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Observation 624eb52f-9e6b-4f16-b608-eed6da760ba6 · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Stabilizer Codes and Quantum Error Correction

Reference 13

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

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Observation 071a3ae2-e72f-499b-b47a-2bc77105ee1c · outbound

This paper cites Bravyi and A.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Bravyi and A

Reference 15

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Observation 3eec26b0-372f-4587-969b-61e7f736e023 · outbound

This paper cites Aaronson and D.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Aaronson and D

Reference 16

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Observation f26b293c-0372-4fc4-bb48-41b3b009581b · outbound

This paper cites Bravyi, G.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Bravyi, G

Reference 17

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This paper cites Bravyi and D.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Bravyi and D

Reference 18

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Observation a9f75e48-bcad-411b-83fa-3f952a00a4f5 · outbound

This paper cites Howard and E.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Howard and E

Reference 19

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Observation d809bc22-0f4d-41f5-83ac-be6913db0c06 · outbound

This paper cites Bravyi, D.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Bravyi, D

Reference 20

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 21

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Observation 165d1077-5afc-4d8d-9299-69a3cb176e90 · outbound

This paper cites Qassim, J.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Qassim, J

Reference 22

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Observation 4f235b4f-4205-40fd-9d80-3da914c517e3 · outbound

This paper cites Pashayan, O.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Pashayan, O

Reference 23

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Observation ade383e3-54cd-4a43-8c01-5653c315fd06 · outbound

This paper cites Qassim, H.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Qassim, H

Reference 24

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Observation a750e397-552c-4ec3-8ca7-e55c788a5da3 · outbound

This paper cites Heimendahl, F.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Heimendahl, F

Reference 25

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Observation b6b78748-b8c4-469d-a0f0-8ad8647f31a7 · outbound

This paper cites Beverland, E.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Beverland, E

Reference 26

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Observation 66430b4c-6716-4fd1-b587-172660c2418d · outbound

This paper cites de Silva, M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits de Silva, M

Reference 27

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Observation e8070c37-3021-4622-9352-401767282ffb · outbound

This paper cites Hamaguchi, K.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Hamaguchi, K

Reference 28

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Observation 75dfa681-2e0d-468b-93a7-f00bd2b08aeb · outbound

This paper cites Heinrich and D.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Heinrich and D

Reference 29

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Observation 38f21cb4-276c-4e96-bf5d-dfe19cb812a8 · outbound

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 30

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Observation ce120e0f-e0ea-4161-b581-3ef74dfbf314 · outbound

This paper cites Arute, K.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Arute, K

Reference 32

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Observation 485ee067-fe8b-42b0-b3e6-aa4b6497dd20 · outbound

This paper cites Koenig and J.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Koenig and J

Reference 33

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Observation 4cb641dc-817f-4758-b868-60571822fc91 · outbound

This paper cites Camillo, Symmetric Stabilizer Extent for Unitaries , https://github.com/Giuhcs/Symmetric_Stabilizer_Extent_ for_Unitaries (2025).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Camillo, Symmetric Stabilizer Extent for Unitaries , https://github.com/Giuhcs/Symmetric_Stabilizer_Extent_ for_Unitaries (2025)

Reference 34

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Observation 08fefd95-2d9f-4730-8e9e-efadb1570aa5 · outbound

This paper cites Rengaswamy, R.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Rengaswamy, R

Reference 35

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 36

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 38

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Observation e05b58ff-5a64-404a-8443-7a63510bb966 · outbound

This paper cites Gheorghiu, M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Gheorghiu, M

Reference 39

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Observation 0b009ac0-da87-4029-9b15-8e0e9024869d · outbound

This paper cites Rossi, M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Rossi, M

Reference 40

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Observation 9f604559-9176-45c5-a65a-220c7775a1de · outbound

This paper cites Raussendorf and H.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Raussendorf and H

Reference 41

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This paper cites Miller and A.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Miller and A

Reference 42

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This paper cites Takeuchi, T.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Takeuchi, T

Reference 43

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 46

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Observation 58ddec57-02a2-4427-8137-aaf8c3c7c7c1 · outbound

This paper cites Gachechiladze, C.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Gachechiladze, C

Reference 47

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Observation ada107f0-5572-486e-9ac9-eb7b507a4669 · outbound

This paper cites Shettell and D.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Shettell and D

Reference 48

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Observation a1baac24-eed2-407f-a028-13da36ddadca · outbound

This paper cites G¨ uhne, M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits G¨ uhne, M

Reference 49

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Observation f61e1e94-2fa8-4ae8-9b97-3cd01b39b3f8 · outbound

This paper cites Huang, X.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Huang, X

Reference 50

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Observation c5ca9cf2-64ea-4b50-a528-3a0545823be9 · outbound

This paper cites Liu and A.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Liu and A

Reference 51

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Observation 6ec13319-b4f8-47a8-80fd-6ebf2aa4b12b · outbound

This paper cites Zhou and A.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Zhou and A

Reference 52

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Observation 5555982d-ca24-4502-8fdd-57ebf110d10c · outbound

This paper cites Sarkar, S.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Sarkar, S

Reference 53

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 55

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This paper cites Ni and M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Ni and M

Reference 56

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Observation 878c8ff1-39d1-4fd3-88b4-172e98526f3a · outbound

This paper cites Quantum binary field multiplication with subquadratic Toffoli gate count and low space-time cost.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Quantum binary field multiplication with subquadratic Toffoli gate count and low space-time cost

Reference 57

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 58

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Observation f12316e3-8478-428c-8be9-220080833b09 · outbound

This paper cites Schauss, Quantum simulation of transverse Ising models with Rydberg atoms, Quantum Science and Technology 3, 023001 (2018).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Schauss, Quantum simulation of transverse Ising models with Rydberg atoms, Quantum Science and Technology 3, 023001 (2018)

Reference 59

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Observation fe423b72-e368-47ec-9b1f-3b450db3a7a6 · outbound

This paper cites Li, Y.-K.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Li, Y.-K

Reference 60

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

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Observation 6962a055-9ac4-4089-9c16-8f728c19a902 · outbound

This paper cites Zhang, G.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Zhang, G

Reference 62

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Observation 2060240f-3734-4264-933d-8ce4f4c9241e · outbound

This paper cites Islam, E.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Islam, E

Reference 63

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Observation e25700c8-9141-42d0-9665-76af31ce160c · outbound

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Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.080612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0709ee9c-7ef5-41fe-9c69-9d72baef9707 · outbound

This paper cites Bernien, S.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Bernien, S

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.180499Z

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Observation 1a21d287-b8ac-46c8-b2ec-91a3fdfa619e · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.333374Z

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Observation 6fe08851-bdc8-4481-8aa5-e8595e6e8b45 · outbound

This paper cites Horsman, A.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Horsman, A

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.407785Z

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Observation 9439294f-5b1e-4c53-9265-8b07416a0def · outbound

This paper cites Classical simulations of Abelian-group normalizer circuits with intermediate measurements.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Classical simulations of Abelian-group normalizer circuits with intermediate measurements

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.491493Z

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Observation 55a4e5ae-121f-4dd0-b028-f6cd84692f12 · outbound

This paper cites Bermejo-Vega, C.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Bermejo-Vega, C

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.600199Z

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Observation 822e7cbc-34ba-4588-a08f-a8008b2f7cea · outbound

This paper cites Normalizer Circuits and Quantum Computation.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Normalizer Circuits and Quantum Computation

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.710122Z

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Observation 1d653140-78ac-4866-93d0-33d4f7396466 · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 71

Resolution: verified exact; doi, observed 2026-08-04T08:58:24.582530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5cbb8b66-c0b8-4966-a777-6b56f6b10e34 · outbound

This paper cites Raussendorf, Computationally Universal Phase of Quantum Matter, Physical Review Letters 122, 10.1103/Phys- RevLett.122.090501 (2019).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Raussendorf, Computationally Universal Phase of Quantum Matter, Physical Review Letters 122, 10.1103/Phys- RevLett.122.090501 (2019)

Reference 72

Resolution: malformed identifier; no resolver link, observed 2026-08-04T08:57:12.883063Z

Source-reported events for the cited work

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Observation 2e606ed7-e544-4e83-91c2-55fcf95d44cc · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:12.976938Z

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Observation b9de7871-06a6-4b50-a70f-8489f39e4f0f · outbound

This paper cites Abramsky and A.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Abramsky and A

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.059122Z

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Observation 5c513055-cc72-428a-a45c-c64e12aaedbe · outbound

This paper cites Contextuality, Cohomology and Paradox.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Contextuality, Cohomology and Paradox

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.160220Z

Source-reported events for the cited work

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Observation 000e2e1c-bcfc-4889-8f9f-587376ee49eb · outbound

This paper cites Raussendorf, C.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Raussendorf, C

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.244536Z

Source-reported events for the cited work

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Observation 6c19fa58-72ac-4853-acec-5fa5e7e91326 · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.326958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 148f625e-0e55-43a0-99cb-26efc8fa7898 · outbound

This paper cites Mansfield, Quantum Advantage from Sequential-Transformation Contextuality, Physical Review Letters 121, 10.1103/PhysRevLett.121.230401 (2018).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Mansfield, Quantum Advantage from Sequential-Transformation Contextuality, Physical Review Letters 121, 10.1103/PhysRevLett.121.230401 (2018)

Reference 78

Resolution: verified exact; doi, observed 2026-08-04T08:58:24.196710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3bf73d58-189d-43a7-8119-10f84c07e9ba · outbound

This paper cites Emeriau, Quantum Advantage in Information Retrieval, PRX Quantum 3, 10.1103/PRXQuantum.3.020307 (2022).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Emeriau, Quantum Advantage in Information Retrieval, PRX Quantum 3, 10.1103/PRXQuantum.3.020307 (2022)

Reference 79

Resolution: verified exact; doi, observed 2026-08-04T08:58:23.849939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 27e6d368-95e6-4729-8663-f34cbe54fb4a · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.663271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec29c147-bf83-44f4-a7e4-96fa41bebfad · outbound

This paper cites Schmid, Contextual Advantage for State Discrimination, Physical Review X 8, 10.1103/PhysRevX.8.011015 (2018).

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Schmid, Contextual Advantage for State Discrimination, Physical Review X 8, 10.1103/PhysRevX.8.011015 (2018)

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.767744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94850e87-81fe-4eef-8072-484835ec39a2 · outbound

This paper cites Budroni, G.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Budroni, G

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.817182Z

Source-reported events for the cited work

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Observation 62bae315-3182-4727-85be-28dd8555e41d · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:13.916785Z

Source-reported events for the cited work

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Observation 99fc2cef-b767-4502-927a-502962b8ccf1 · outbound

This paper cites Gross and M.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Gross and M

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:14.013302Z

Source-reported events for the cited work

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Observation 21427437-f0c6-456f-b16e-84e559115ca2 · outbound

This paper cites Dehaene and B.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Dehaene and B

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:14.139903Z

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Observation 3c1995ed-5e6c-4f8c-86d2-038a6dbdc062 · outbound

This paper cites Heinrich, On stabiliser techniques and their application to simulation and certification of quantum devices , Ph.D.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Heinrich, On stabiliser techniques and their application to simulation and certification of quantum devices , Ph.D

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:14.249079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3809416-9c68-41fe-bedb-0c439c17da71 · outbound

This paper cites Stein et al.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Stein et al

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:14.359312Z

Source-reported events for the cited work

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Observation 6f6596f7-5ac6-4a8a-b673-449ea98bca34 · outbound

This paper cites an unresolved cited work.

Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits Unresolved cited work

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:14.536149Z

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