Decoupling 2D translation-invariant topological CSS codes | Paper Citation Record

Observation 8270dde2-a4a2-4841-835a-03d3814b73e6 · outbound

This paper cites decoupling.

Decoupling 2D translation-invariant topological CSS codes decoupling

Reference 1

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 2

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This paper cites directly solve the matrix.

Decoupling 2D translation-invariant topological CSS codes directly solve the matrix

Reference 3

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 4

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Observation 34343fbf-8799-44ae-9272-13ca40775bcf · outbound

This paper cites This proves the diagonal form in Eq.

Decoupling 2D translation-invariant topological CSS codes This proves the diagonal form in Eq

Reference 5

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 6

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 7

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Observation f25c6eef-410f-43bf-b537-9b71b6b9c6a0 · outbound

This paper cites Therefore, Tx = 0 1 1 1 , T y = 0 1 1 1 .(V.2) 15 𝑥 𝑦 1 2 𝑥𝑦 𝑦 𝑥 𝑥𝑦 (1+𝑥+𝑥𝑦 1+𝑦+𝑥𝑦) 𝑥2𝑦 ≡ 1 𝑥3 ≡ 1 FIG.

Decoupling 2D translation-invariant topological CSS codes Therefore, Tx = 0 1 1 1 , T y = 0 1 1 1 .(V.2) 15 𝑥 𝑦 1 2 𝑥𝑦 𝑦 𝑥 𝑥𝑦 (1+𝑥+𝑥𝑦 1+𝑦+𝑥𝑦) 𝑥2𝑦 ≡ 1 𝑥3 ≡ 1 FIG

Reference 8

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Observation 5f3506a8-308c-45ab-a0c4-7c5b3770402d · outbound

This paper cites Thus the superlattice is generated byx 3,x 2y.

Decoupling 2D translation-invariant topological CSS codes Thus the superlattice is generated byx 3,x 2y

Reference 9

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Observation e488d75d-e261-4baf-a80f-bbb9544c5afe · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 10

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 12

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Observation f25a96e6-767f-474b-adef-5afeb960a496 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.371783Z

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Observation faa0f980-a583-4407-85e6-4c6a86ba125b · outbound

This paper cites Therefore the superlattice is generated byx 2,xy.

Decoupling 2D translation-invariant topological CSS codes Therefore the superlattice is generated byx 2,xy

Reference 14

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 15

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Observation 0f52263f-f93b-4618-8048-f38abe579e08 · outbound

This paper cites Thus Algorithm SM.

Decoupling 2D translation-invariant topological CSS codes Thus Algorithm SM

Reference 16

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 17

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Observation 8088c3fe-387a-4ddb-8e2e-c78552945dde · outbound

This paper cites The worst-case exponents in Eq.

Decoupling 2D translation-invariant topological CSS codes The worst-case exponents in Eq

Reference 18

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Observation 2da4659c-d763-46f2-90e8-d6b4a06cd188 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 19

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 20

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Observation 05138261-df94-4a27-b3c0-b16310775843 · outbound

This paper cites However, the performance of this decoder is not entirely satisfactory.

Decoupling 2D translation-invariant topological CSS codes However, the performance of this decoder is not entirely satisfactory

Reference 21

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T14:36:24.296531Z

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Observation 27a8cde4-73a5-408f-941c-078f10257ea5 · outbound

This paper cites Algebraic Methods for Quantum Codes on Lattices.

Decoupling 2D translation-invariant topological CSS codes Algebraic Methods for Quantum Codes on Lattices

Reference 22

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Observation 152dc22b-38a9-47fa-b7c9-2bb486edf1da · outbound

This paper cites Kitaev, A.

Decoupling 2D translation-invariant topological CSS codes Kitaev, A

Reference 23

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Observation 271438dc-b212-417d-a949-d3f48b4bc167 · outbound

This paper cites Commuting Pauli Hamiltonians as maps between free modules.

Decoupling 2D translation-invariant topological CSS codes Commuting Pauli Hamiltonians as maps between free modules

Reference 24

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Observation b0c12d6a-acc2-451d-bcd8-b3661e7ae921 · outbound

This paper cites Topological quantum order: stability under local perturbations.

Decoupling 2D translation-invariant topological CSS codes Topological quantum order: stability under local perturbations

Reference 25

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Observation 75e440eb-643a-42f4-8e11-56e046b7c6dd · outbound

This paper cites Song, From Koszul-Complex Stabilizer Models to Superselection Profiles: Topological Rigidity and Nonsplit Extensions (2026), arXiv:2608.XXXXX [quant-ph].

Decoupling 2D translation-invariant topological CSS codes Song, From Koszul-Complex Stabilizer Models to Superselection Profiles: Topological Rigidity and Nonsplit Extensions (2026), arXiv:2608.XXXXX [quant-ph]

Reference 26

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Observation 3016ef01-8c84-43ea-b76f-0cab3ae17903 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.267385Z

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Observation 425f96bc-c391-4850-9667-ab1979af7be8 · outbound

This paper cites Fault-tolerant quantum computation by anyons.

Decoupling 2D translation-invariant topological CSS codes Fault-tolerant quantum computation by anyons

Reference 28

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Observation cbf3e0c4-5fe1-4505-8a6b-9a0e5e91ae73 · outbound

This paper cites Quantum codes on a lattice with boundary.

Decoupling 2D translation-invariant topological CSS codes Quantum codes on a lattice with boundary

Reference 29

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Observation 3790a05e-2d43-4bbb-b87d-ba67fdb0c0b8 · outbound

This paper cites Fold-Transversal Clifford Gates for Quantum Codes.

Decoupling 2D translation-invariant topological CSS codes Fold-Transversal Clifford Gates for Quantum Codes

Reference 30

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Observation 07ee278c-0309-4c21-b078-6a896cd7a881 · outbound

This paper cites Logical Operators and Fold-Transversal Gates of Bivariate Bicycle Codes.

Decoupling 2D translation-invariant topological CSS codes Logical Operators and Fold-Transversal Gates of Bivariate Bicycle Codes

Reference 31

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Observation 46b90a62-89d2-4ada-9795-fa15c5bb1687 · outbound

This paper cites Homomorphic Logical Measurements.

Decoupling 2D translation-invariant topological CSS codes Homomorphic Logical Measurements

Reference 32

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Observation 64bfdc38-5d66-4d10-b7f2-8d1e9ced50c2 · outbound

This paper cites Fast and Parallelizable Logical Computation with Homological Product Codes.

Decoupling 2D translation-invariant topological CSS codes Fast and Parallelizable Logical Computation with Homological Product Codes

Reference 33

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Observation a0a7953c-689e-46b6-a9c5-5d790174563e · outbound

This paper cites Horsman, A.

Decoupling 2D translation-invariant topological CSS codes Horsman, A

Reference 34

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Observation 40e8e107-ea83-4407-aa8f-176f9fc234cd · outbound

This paper cites Low-overhead fault-tolerant quantum computing using long-range connectivity.

Decoupling 2D translation-invariant topological CSS codes Low-overhead fault-tolerant quantum computing using long-range connectivity

Reference 35

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Observation ae29804c-2b82-4343-afed-c31c2ad07aab · outbound

This paper cites Fault-tolerant logical measurements via homological measurement.

Decoupling 2D translation-invariant topological CSS codes Fault-tolerant logical measurements via homological measurement

Reference 36

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Observation 99a85fb9-ae52-4394-ae4f-2563c2edc842 · outbound

This paper cites Balanced Product Quantum Codes.

Decoupling 2D translation-invariant topological CSS codes Balanced Product Quantum Codes

Reference 37

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Observation cc324428-d473-4000-8343-c70746fd8cc2 · outbound

This paper cites Quantum LDPC Codes with Almost Linear Minimum Distance.

Decoupling 2D translation-invariant topological CSS codes Quantum LDPC Codes with Almost Linear Minimum Distance

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.491247Z

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Observation bb6ce078-e87c-4f7b-8570-5c0c240ed862 · outbound

This paper cites Asymptotically Good Quantum and Locally Testable Classical LDPC Codes.

Decoupling 2D translation-invariant topological CSS codes Asymptotically Good Quantum and Locally Testable Classical LDPC Codes

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.494332Z

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Observation 36d0fd3c-9675-4f48-a965-dae646421bf5 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.252743Z

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Observation 797f934d-7d19-425f-b67c-e233e020e95a · outbound

This paper cites Anyons in an exactly solved model and beyond.

Decoupling 2D translation-invariant topological CSS codes Anyons in an exactly solved model and beyond

Reference 41

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Observation 2feee807-aba5-465e-a20c-74e03a1ffb6b · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Decoupling 2D translation-invariant topological CSS codes Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 42

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Observation 50ea6f78-0f7a-4a91-a0f9-ad111aa8b31a · outbound

This paper cites Quantum Orders and Symmetric Spin Liquids.

Decoupling 2D translation-invariant topological CSS codes Quantum Orders and Symmetric Spin Liquids

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.507703Z

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Observation 26c2dab7-f5e4-4ad7-b7b3-0cfc7743791e · outbound

This paper cites Wen, Quantum orders in an exact soluble model, Physical Review Letters90, 016803 (2003), arXiv:quant- ph/0205004.

Decoupling 2D translation-invariant topological CSS codes Wen, Quantum orders in an exact soluble model, Physical Review Letters90, 016803 (2003), arXiv:quant- ph/0205004

Reference 44

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:36:23.978783Z

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Observation bdb30931-9df9-46ff-959a-c0734613e7a6 · outbound

This paper cites Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study.

Decoupling 2D translation-invariant topological CSS codes Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study

Reference 45

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Observation 4235496e-0d54-4b26-b7a4-594da87e0bb4 · outbound

This paper cites Statistical Mechanical Models and Topological Color Codes.

Decoupling 2D translation-invariant topological CSS codes Statistical Mechanical Models and Topological Color Codes

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:36:23.902163Z

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Observation 792ce7a9-e747-41a4-b1a5-f5fb935d33be · outbound

This paper cites an unresolved cited work.

Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.243610Z

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Observation 55c0a2b1-1885-48dc-9d7f-9df65ca737a7 · outbound

This paper cites Atiyah and I.

Decoupling 2D translation-invariant topological CSS codes Atiyah and I

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.234851Z

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Observation 2f9b7485-01d1-43e7-8250-ca93e4b82446 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 49

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Observation 651d4ed3-1e36-43dc-b753-d57f1e7548c9 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.217062Z

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Observation 50d7864d-aa44-4d40-8d6e-fd7baf001d38 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.208133Z

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Observation 702abbdf-9ab6-461a-86ee-3b5ca84b729c · outbound

This paper cites Park and C.

Decoupling 2D translation-invariant topological CSS codes Park and C

Reference 52

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:36:23.887488Z

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Observation 37c420d0-de88-47d1-a823-a2818f5aef10 · outbound

This paper cites Quillen, Projective modules over polynomial rings, Inventiones Mathematicae36, 167 (1976).

Decoupling 2D translation-invariant topological CSS codes Quillen, Projective modules over polynomial rings, Inventiones Mathematicae36, 167 (1976)

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.198817Z

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Observation 5d1971b2-24df-4394-8d91-4939b5a178b6 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.188506Z

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Observation 8cb8aa97-012c-4a66-a2ef-cad0737e3dfb · outbound

This paper cites Caniglia, G.

Decoupling 2D translation-invariant topological CSS codes Caniglia, G

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.179280Z

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Observation 58f17924-6b04-4287-86db-9de53732b662 · outbound

This paper cites Liang, Degree bounds for gr¨ obner bases of modules, Journal of Symbolic Computation111, 27 (2022).

Decoupling 2D translation-invariant topological CSS codes Liang, Degree bounds for gr¨ obner bases of modules, Journal of Symbolic Computation111, 27 (2022)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.169624Z

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Observation 771b533d-bed2-4907-90c6-53dcc436a44b · outbound

This paper cites Cartan and S.

Decoupling 2D translation-invariant topological CSS codes Cartan and S

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.160249Z

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Observation eb0d62b0-b3bb-45c7-9f41-5992fb69a992 · outbound

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Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:36:24.150649Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 252275cf-b960-45b2-9406-2260b1fc6f24 · outbound

This paper cites Liang, K.

Decoupling 2D translation-invariant topological CSS codes Liang, K

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.558735Z

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Unavailable: canonical work link unavailable.

Observation 41bb3ce4-adaf-4d54-916a-6c45ffea75f1 · outbound

This paper cites Bunny Codes: Broadening Superconducting Quantum Error Correction Capability through Advanced Control Engineering.

Decoupling 2D translation-invariant topological CSS codes Bunny Codes: Broadening Superconducting Quantum Error Correction Capability through Advanced Control Engineering

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:36:23.771322Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b0134c07-10e3-4e6d-89cd-9a111c5de55d · outbound

This paper cites Topological subsystem bivariate bicycle codes with four-qubit check operators.

Decoupling 2D translation-invariant topological CSS codes Topological subsystem bivariate bicycle codes with four-qubit check operators

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.564899Z

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Unavailable: canonical work link unavailable.

Observation 7367ad42-850b-4e4a-bb27-7e2ab376db7e · outbound

This paper cites Sequences of Bivariate Bicycle Codes from Covering Graphs.

Decoupling 2D translation-invariant topological CSS codes Sequences of Bivariate Bicycle Codes from Covering Graphs

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.568303Z

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Observation 5cab407a-0e4a-4b31-bd9f-9d0f0066018c · outbound

This paper cites High-threshold and low-overhead fault-tolerant quantum memory.

Decoupling 2D translation-invariant topological CSS codes High-threshold and low-overhead fault-tolerant quantum memory

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.571384Z

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Observation acd410f9-b85a-49f9-b88e-03f8a6fd005e · outbound

This paper cites Clifford Quantum Cellular Automata: Trivial group in 2D and Witt group in 3D.

Decoupling 2D translation-invariant topological CSS codes Clifford Quantum Cellular Automata: Trivial group in 2D and Witt group in 3D

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.574832Z

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Observation 595ce831-f586-484c-a055-0bdaa587864b · outbound

This paper cites Index theory of one dimensional quantum walks and cellular automata.

Decoupling 2D translation-invariant topological CSS codes Index theory of one dimensional quantum walks and cellular automata

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.577951Z

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Observation cacbf7f6-c8bc-4a6e-b2e0-226dd5697e47 · outbound

This paper cites Unfolding the color code.

Decoupling 2D translation-invariant topological CSS codes Unfolding the color code

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.581016Z

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Observation 34edb639-4acd-4366-b3b2-9962b5c1c5dc · outbound

This paper cites Faug` ere, A new efficient algorithm for computing Gr¨ obner bases (F4), Journal of Pure and Applied Algebra139, 61 (1999).

Decoupling 2D translation-invariant topological CSS codes Faug` ere, A new efficient algorithm for computing Gr¨ obner bases (F4), Journal of Pure and Applied Algebra139, 61 (1999)

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.141191Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 513b4ec9-5a85-456b-aa32-3be8a94f903b · outbound

This paper cites Bardet, J.-C.

Decoupling 2D translation-invariant topological CSS codes Bardet, J.-C

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:36:24.130673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6e1796d5-9ff5-4a4b-98e4-4a14b0071e84 · outbound

This paper cites Roffe, D.

Decoupling 2D translation-invariant topological CSS codes Roffe, D

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.590049Z

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Unavailable: canonical work link unavailable.

Observation 75791010-4667-40c8-8fbb-53c6e45b1b02 · outbound

This paper cites an unresolved cited work.

Decoupling 2D translation-invariant topological CSS codes Unresolved cited work

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.593055Z

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Unavailable: canonical work link unavailable.

Observation 57b8db52-292c-4aed-a6f9-0edb0f82cf45 · outbound

This paper cites A matching decoder for bivariate bicycle codes.

Decoupling 2D translation-invariant topological CSS codes A matching decoder for bivariate bicycle codes

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.595973Z

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Observation c44d2415-88b3-4b13-b849-2795820c1d57 · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

Decoupling 2D translation-invariant topological CSS codes Stabilizer Codes and Quantum Error Correction

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-15T14:36:23.599312Z

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