Beyond transversality: structure of Clifford circuits for CSS codes | Paper Citation Record

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes We identify that ingredient

Reference 3

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes The permutation part now follows from the same lemma, applied with the two spaces distinct

Reference 5

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 7

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This paper cites Bluvstein, S.

Beyond transversality: structure of Clifford circuits for CSS codes Bluvstein, S

Reference 8

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This paper cites Demonstration of logical qubits and repeated error correction with better-than-physical error rates.

Beyond transversality: structure of Clifford circuits for CSS codes Demonstration of logical qubits and repeated error correction with better-than-physical error rates

Reference 9

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Beyond transversality: structure of Clifford circuits for CSS codes Bravyi, A

Reference 10

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This paper cites A Denser Planar Surface Code.

Beyond transversality: structure of Clifford circuits for CSS codes A Denser Planar Surface Code

Reference 11

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This paper cites Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits.

Beyond transversality: structure of Clifford circuits for CSS codes Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits

Reference 12

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 14

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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This paper cites A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes.

Beyond transversality: structure of Clifford circuits for CSS codes A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:24.187123Z

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This paper cites Clifford gates with logical transversality for self-dual CSS codes.

Beyond transversality: structure of Clifford circuits for CSS codes Clifford gates with logical transversality for self-dual CSS codes

Reference 17

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 19

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This paper cites Camps-Moreno, H.

Beyond transversality: structure of Clifford circuits for CSS codes Camps-Moreno, H

Reference 20

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 21

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This paper cites Eastin and E.

Beyond transversality: structure of Clifford circuits for CSS codes Eastin and E

Reference 22

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 25

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 26

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 27

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Beyond transversality: structure of Clifford circuits for CSS codes Berthusen and E

Reference 28

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Beyond transversality: structure of Clifford circuits for CSS codes Cao and B

Reference 29

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Beyond transversality: structure of Clifford circuits for CSS codes Logical computation with canonical lifted product codes

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.835964Z

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This paper cites Quantum LDPC codes with design rate 1/5 and good performance below 1000 physical qubits.

Beyond transversality: structure of Clifford circuits for CSS codes Quantum LDPC codes with design rate 1/5 and good performance below 1000 physical qubits

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.822010Z

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 32

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Beyond transversality: structure of Clifford circuits for CSS codes Tiew and N

Reference 33

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 34

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 35

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Observation 3ce495c1-892f-41f9-a557-fd88cba25577 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Gulshen and T

Reference 36

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Beyond transversality: structure of Clifford circuits for CSS codes Quantum Logic Codes: Complete Transversal Logical Clifford Instruction Sets for High-Rate Stabilizer Quantum Error Correcting Codes

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.724198Z

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Beyond transversality: structure of Clifford circuits for CSS codes Automated logical Clifford gadgets for heterogeneous architectures via chain maps

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.710344Z

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 39

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Beyond transversality: structure of Clifford circuits for CSS codes Grassl and M

Reference 40

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This paper cites Sayginel,autqec: Logical Clifford gates from code automorphisms, Software,https://github.com/ hsayginel/autqec(2024), Python library with a MAGMA interface; GPL-3.0.

Beyond transversality: structure of Clifford circuits for CSS codes Sayginel,autqec: Logical Clifford gates from code automorphisms, Software,https://github.com/ hsayginel/autqec(2024), Python library with a MAGMA interface; GPL-3.0

Reference 41

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Beyond transversality: structure of Clifford circuits for CSS codes Sayginel, S

Reference 42

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Beyond transversality: structure of Clifford circuits for CSS codes Automorphism gadgets in homological product codes

Reference 43

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 44

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Beyond transversality: structure of Clifford circuits for CSS codes Chen, M.-C

Reference 45

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Beyond transversality: structure of Clifford circuits for CSS codes Dehaene and B

Reference 46

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Beyond transversality: structure of Clifford circuits for CSS codes Rengaswamy, R

Reference 47

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Beyond transversality: structure of Clifford circuits for CSS codes Rengaswamy, R

Reference 48

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Beyond transversality: structure of Clifford circuits for CSS codes Liu, Y.-X

Reference 49

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 50

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Beyond transversality: structure of Clifford circuits for CSS codes Finding diagonal logical gates in CSS codes and circuits

Reference 51

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Beyond transversality: structure of Clifford circuits for CSS codes Artin,Geometric Algebra(Wiley, 1988)

Reference 52

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 53

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 54

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Beyond transversality: structure of Clifford circuits for CSS codes Grove,Classical Groups and Geometric Algebra (American Mathematical Society, 2001)

Reference 55

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Beyond transversality: structure of Clifford circuits for CSS codes Malle and D

Reference 56

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Beyond transversality: structure of Clifford circuits for CSS codes Bombin and M

Reference 57

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Observation 2a6898ac-6be0-4ceb-b4de-d6323dc1d9c0 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Bombin and M

Reference 58

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This paper cites Construction of the full logical Clifford group for high-rate quantum Reed-Muller codes using only transversal and fold-transversal gates.

Beyond transversality: structure of Clifford circuits for CSS codes Construction of the full logical Clifford group for high-rate quantum Reed-Muller codes using only transversal and fold-transversal gates

Reference 59

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Beyond transversality: structure of Clifford circuits for CSS codes Fault-Tolerant Quantum Error Correction for Constant-Excitation Stabilizer Codes under Coherent Noise

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.561251Z

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Beyond transversality: structure of Clifford circuits for CSS codes Handbook of Error-Correcting Codes

Reference 61

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Beyond transversality: structure of Clifford circuits for CSS codes Nearest-neighbour gates are all you need: High-rate quantum low-density parity-check codes on a planar grid

Reference 63

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Observation a2617a3d-22d9-4d65-8789-377ee4c2bb70 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Tiew and N

Reference 64

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Observation 1c33d18b-011f-45d7-96c3-9a234a81542c · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 65

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Observation 89b111b5-5708-4a3a-91e2-163e87929a04 · outbound

This paper cites Patel, I.

Beyond transversality: structure of Clifford circuits for CSS codes Patel, I

Reference 67

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This paper cites Guyot and S.

Beyond transversality: structure of Clifford circuits for CSS codes Guyot and S

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.382956Z

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Observation 0d724f46-95d1-4a2b-8e9a-e7f626457122 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.385687Z

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Observation b77dc8b3-e67f-448d-99ef-1b234c61d2a8 · outbound

This paper cites Duality constrains optimal thresholds in quantum error correction.

Beyond transversality: structure of Clifford circuits for CSS codes Duality constrains optimal thresholds in quantum error correction

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.385166Z

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Observation 5eba24ae-caf8-4273-8b98-517b065c49c8 · outbound

This paper cites Bravyi and D.

Beyond transversality: structure of Clifford circuits for CSS codes Bravyi and D

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.391567Z

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Unavailable: canonical work link unavailable.

Observation f3bfd2a3-6d19-4aba-ada0-05b2933be50b · outbound

This paper cites Optimized Compilation of Logical Clifford Circuits.

Beyond transversality: structure of Clifford circuits for CSS codes Optimized Compilation of Logical Clifford Circuits

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.394547Z

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Observation 6ecce461-5ca2-46d4-973d-2ae1dc7cd7f8 · outbound

This paper cites Small Binary Stabilizer Subsystem Codes.

Beyond transversality: structure of Clifford circuits for CSS codes Small Binary Stabilizer Subsystem Codes

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.397522Z

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Observation 83751721-3d85-4efe-8b76-934bcb376dbc · outbound

This paper cites Cross, G.

Beyond transversality: structure of Clifford circuits for CSS codes Cross, G

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.401600Z

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Observation ce6c65b1-4da1-4be3-b1e3-fb7e0c7858cc · outbound

This paper cites Quantum fault tolerance in small experiments.

Beyond transversality: structure of Clifford circuits for CSS codes Quantum fault tolerance in small experiments

Reference 75

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Observation 48ebf1d4-16c6-49c9-8959-610fea755fa5 · outbound

This paper cites Vasmer and A.

Beyond transversality: structure of Clifford circuits for CSS codes Vasmer and A

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.408305Z

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Observation 2a763388-46f1-47ee-ad87-118ba7fb3abc · outbound

This paper cites Bravyi, B.

Beyond transversality: structure of Clifford circuits for CSS codes Bravyi, B

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.411643Z

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Observation eb8a2092-42bf-4d6e-8231-6e3c88979353 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 78

Resolution: malformed identifier; no resolver link, observed 2026-08-08T01:03:22.414820Z

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Observation 525264a5-b626-404e-929a-e2cad9e7fc8a · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.417872Z

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Observation 58e32412-4b0d-4ca3-a496-308d51b8a08c · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Genons, Double Covers and Fault-tolerant Clifford Gates

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.420935Z

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Observation 48aead79-0220-440d-8f30-692b3c3f74b1 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Arf, Untersuchungen ¨ uber quadratische formen in k¨ orpern der charakteristik 2

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.424395Z

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Observation cd5738c9-291a-4924-ac41-10a75201cb07 · outbound

This paper cites an unresolved cited work.

Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.427901Z

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Observation 0370b5a1-fdda-4259-9f99-b77784c49a6f · outbound

This paper cites Constraints on phantom codes from automorphism group bounds.

Beyond transversality: structure of Clifford circuits for CSS codes Constraints on phantom codes from automorphism group bounds

Reference 83

Resolution: verified exact; local_arxiv, observed 2026-08-08T01:03:23.338079Z

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Observation c9756c7a-3a3c-44d3-9f60-064abc43b00b · outbound

This paper cites Bluvstein, H.

Beyond transversality: structure of Clifford circuits for CSS codes Bluvstein, H

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.434405Z

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Observation d428e441-d6a9-4812-a1d7-61a183217cd5 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Patra and A

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.437675Z

Source-reported events for the cited work

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Observation aed35089-3332-4958-b685-8c690648c224 · outbound

This paper cites Bravyi, R.

Beyond transversality: structure of Clifford circuits for CSS codes Bravyi, R

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.440808Z

Source-reported events for the cited work

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Observation 9f0cdfe8-459b-4c60-8254-0a51a966673e · outbound

This paper cites Bravyi, J.

Beyond transversality: structure of Clifford circuits for CSS codes Bravyi, J

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.443939Z

Source-reported events for the cited work

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Observation e6b76422-3892-49dd-bc15-2179335a959e · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.447187Z

Source-reported events for the cited work

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Observation 75cc1467-120e-4b1f-8f4c-3b5df90cf7ea · outbound

This paper cites Bombin and M.

Beyond transversality: structure of Clifford circuits for CSS codes Bombin and M

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.450384Z

Source-reported events for the cited work

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Observation 8dfa8532-414d-44f7-ac57-b58f263358de · outbound

This paper cites Bravyi and M.

Beyond transversality: structure of Clifford circuits for CSS codes Bravyi and M

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.453849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a68c78f3-8651-444a-9c89-d511368b5d04 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.457564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c875bd6d-ab30-4b54-a3bb-1309eb022722 · outbound

This paper cites Zou and H.-K.

Beyond transversality: structure of Clifford circuits for CSS codes Zou and H.-K

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.460643Z

Source-reported events for the cited work

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Observation 207fda7a-9208-463e-bce9-fabff3da80ef · outbound

This paper cites Bauer and S.

Beyond transversality: structure of Clifford circuits for CSS codes Bauer and S

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.463777Z

Source-reported events for the cited work

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Observation 25f25891-c4f4-4392-81d7-c8b9a203bc80 · outbound

This paper cites Hostens, J.

Beyond transversality: structure of Clifford circuits for CSS codes Hostens, J

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.467003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8697bce9-b855-481b-8033-4f8f622b7a5a · outbound

This paper cites Van den Nest, Efficient classical simulations of quan- tum fourier transforms and normalizer circuits over abelian groups, Quantum Information and Computa- tion13, 1007–1037 (2013).

Beyond transversality: structure of Clifford circuits for CSS codes Van den Nest, Efficient classical simulations of quan- tum fourier transforms and normalizer circuits over abelian groups, Quantum Information and Computa- tion13, 1007–1037 (2013)

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.470212Z

Source-reported events for the cited work

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Observation 0e5589f8-f1f7-47cb-ac35-24fad3bfab80 · outbound

This paper cites Bermejo-Vega and M.

Beyond transversality: structure of Clifford circuits for CSS codes Bermejo-Vega and M

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.473455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e15e0de-54ac-45de-b38e-0df13c762cf1 · outbound

This paper cites Bermejo-Vega, C.

Beyond transversality: structure of Clifford circuits for CSS codes Bermejo-Vega, C

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.476738Z

Source-reported events for the cited work

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Observation 9b9122fb-c245-4f6b-9860-5f8f2ffd4cc3 · outbound

This paper cites Moses, J.

Beyond transversality: structure of Clifford circuits for CSS codes Moses, J

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.480402Z

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Observation 8b2be432-cfc0-47f7-9f93-b4bd15976a3c · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 99

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.483847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8ee3c68-0a44-4e57-9fda-73761c85b8c5 · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.487198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdda2487-677c-4bba-8177-aa1f0af1c038 · outbound

This paper cites an unresolved cited work.

Beyond transversality: structure of Clifford circuits for CSS codes Unresolved cited work

Reference 101

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.490740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df9f3c7f-9dbe-45f0-ad7f-68bb68eb089e · outbound

This paper cites Short Shor-style syndrome sequences.

Beyond transversality: structure of Clifford circuits for CSS codes Short Shor-style syndrome sequences

Reference 102

Resolution: unresolved; no resolver link, observed 2026-08-08T01:03:22.493994Z

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Observation ff49027f-55bf-4a11-9b6a-42940a9f371c · outbound

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Beyond transversality: structure of Clifford circuits for CSS codes Prabhu and B

Reference 103

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