Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:57:59.454190Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 100 of 115 outbound references and 14 inbound Pith citation observations for arXiv:2411.15848.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:57:59.454190Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:16:14.886994Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T00:32:18.433148Z
100 of 115 outbound references displayed
External citation measurements
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Observation ea7929be-bc70-4ef7-8505-8fcac1ae897a · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 1
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Observation cc5ac5a3-c1af-43c5-9cb6-a248147cfe7e · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 2
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Observation 68f81d95-9ec1-47c5-bceb-4f8cdf0a8bc6 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry The total number of physical qubits is N∼Ln−1
Reference 3
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Observation 3b8a6fbb-cdc8-4a51-8735-ea09f63c91bd · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Consider two copies of q-form homological codes with q-form gauge fields a,a′, the CZ logical operator on 2 q- dimensional cycle is: e 2πi N ∮ a∪a′
Reference 4
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Observation 1cad2bae-8f6d-475e-a6da-d65f884502ce · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry group cohomology SPTs
Reference 5
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Observation d151e53f-b892-4003-88bd-023445fd3a40 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Leverrier and G
Reference 6
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Observation 7e4ef777-100a-4145-bee0-210a2c4d46da · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Good quantum LDPC codes with linear time decoder from lossless expanders
Reference 7
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Observation 20633657-2067-4eaf-ad48-5b426c0faa6e · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 8
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Observation 618b64c4-6ee1-4d7b-aeb9-1bb7646517ae · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry We will focus on the eN condensation in the following
Reference 9
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Observation 92cf25d2-aca6-4ef0-9494-21ce43ec787a · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry We hence get Pk(a, 2) =a2k mod Z2k+1
Reference 10
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Observation 3ece5467-b59d-4632-8d6f-d34f652af6ae · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 11
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Observation f76f2135-1163-425d-96af-b6c153d700a9 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry We will compute the image under the boundary operation B for the subgroup K = Z2 2 = {(m,n,m +n) : m,n = 0, 1} and trivial 2-cocycle for K
Reference 12
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Observation 3ecddefd-da04-4d0c-bd2b-2f5479405999 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry For exam- ple, take G = Z3 2 2-form gauge fields a,a′,a′′ in 6 space dimensions, and the cocycle a∪a′∪a′′
Reference 13
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Observation f8e9aea0-9ba8-4638-afdc-dc7d3e39ed2f · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry On the boundary simplices with degree k, the action is given by the iterated boundary operationsBN−k(ωN)
Reference 14
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Observation 0db03057-2c22-41e8-a69a-6b6058923e75 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry The code space on thisN-simplex is a single qubit
Reference 15
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Observation 6eccd31f-0d79-4aac-84ec-5d68e307ecc0 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry The action on |0⟩ obviously be- comes a trivial phase
Reference 16
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Observation 2f059fb8-2612-48ea-9420-fca4d23fe089 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry This construction can be generalized to the RN gate on N copies of the Z2 17 Bulk gauge group (0,0,1) (0,1,1) (0,1,0)(1,0,0) (1,1,0) (1,0,1) BulkBoundary Hinge (a) (b) (c) FIG
Reference 17
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Observation ea61969f-8c4a-42c3-add4-2eaa9a230ee7 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry (80) In particular, Sq0 = 1, and Sqif = 0 for p-cochain f such that i>p
Reference 18
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Observation fcc6ad63-b700-4b1d-ad83-1101b3d10cd7 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Let us denote the 2- form gauge fields by a1,a 2,a 3, here the subscripts label different species
Reference 19
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Observation b1156871-baff-4792-a5c7-5488cbff1367 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Hastings, J
Reference 20
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Observation 8a7a2752-e547-4628-be94-61a837e9ebc0 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Panteleev and G
Reference 21
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Observation 8461d809-45ea-4628-9f4f-0bfc9cbe07a8 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 22
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Observation e88f9c68-4f7c-4597-80a7-d562be678ee4 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry On Quantum Weight Reduction
Reference 23
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Observation 7cbd306e-2498-4e6d-90ce-3088e3596656 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Panteleev and G
Reference 24
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Observation 3ebde776-9a0f-4cab-a15e-d7c0c3654ce7 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Constant-Overhead Magic State Distillation
Reference 25
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Observation 268ac4df-f7a3-4d9d-980e-ed8f591d54b7 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Good binary quantum codes with transversal CCZ gate
Reference 26
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Observation 30e3e39f-a51a-4731-a2bf-9d7bf7d5bd04 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry An efficient decoder for a linear distance quantum LDPC code
Reference 27
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Observation 58b1437d-6ca9-450a-8647-88a79d8f0d46 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Dinur, M
Reference 28
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Observation df1a2409-2902-48f0-9b3e-eb072330a480 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Leverrier and G
Reference 29
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Observation 8f623958-dd1b-40da-9d42-793627e871c2 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Single-shot decoding of good quantum LDPC codes
Reference 30
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Observation eee268e7-b96d-449f-aa81-f32b38392019 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Bravyi, A
Reference 31
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Observation 5c0b2f44-cdb5-4182-929d-efa041444056 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Bombin and M
Reference 32
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Observation 6ab2a8fd-6601-4d50-b4d2-dc519912c5e2 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Bravyi and J
Reference 33
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Observation f09035a0-4046-4529-9d37-4ca284f4f42d · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Bomb´ ın, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics 17, 083002 (2015)
Reference 34
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Observation 5e382bdb-48eb-45cd-a6f2-4046dc0d81cf · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Kubica and M
Reference 35
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Observation ce0eee4d-ba67-46b6-b96c-1fbc4875b9b9 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unfolding the color code
Reference 36
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Observation fe7e763e-b6f9-42b7-83aa-291cee544030 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Transversal gates and error propagation in 3D topological codes
Reference 37
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Observation e671855e-e933-4b4f-90bb-c07c4e8fd0e2 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry 2D quantum computation with 3D topological codes
Reference 38
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Observation ab4d8799-6871-4d3e-9ebd-fef3ecc7cbbf · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Haah and M
Reference 39
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Observation 06963c9d-abca-4d01-a0a9-12438e5c5999 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 40
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Observation af6fc59d-eea4-4ff6-9429-63220d19e868 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Jochym-O’Connor and T
Reference 41
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Observation 08e377b4-4a4f-4b00-a794-2c892832f5dd · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Vasmer and A
Reference 42
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Observation 26272a5b-172c-45f5-ac4c-629eebc19602 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Vuillot and N
Reference 43
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Observation e343cc18-dca6-4777-82d9-f28571871cef · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Building manifolds from quantum codes
Reference 44
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Observation dab85e09-3615-42e3-9b4f-ab7a66c33ae4 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 45
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Observation 707eb6d3-2f28-48ad-886e-694e753153b6 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates
Reference 46
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Observation 7ca593b7-1c0d-4779-bfa3-769a911f6b12 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 47
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Observation 080ad278-ad25-4629-99b1-dd23e96efedd · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 48
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Observation 9afc0ead-6a6c-496c-bdc4-6ea5c809d5d4 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Barkeshli, Y.-A
Reference 49
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Observation c10d045b-0b0d-485e-94f2-fcf487b2d9a9 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Higher-group symmetry in finite gauge theory and stabilizer codes
Reference 50
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Observation 530a6aba-e491-412c-9d75-4884f3f0e2f4 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Gaiotto, A
Reference 51
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Observation cc6834da-2e75-42e7-8638-b6f54a475723 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Yoshida, Topological color code and symmetry- protected topological phases, Phys
Reference 52
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Observation 5bcace66-f4bb-4bb2-8adf-0989f1d54f47 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Yoshida, Topological phases with generalized global symmetries, Phys
Reference 53
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Observation 8c84e65b-7c4c-4009-8d72-51ddeb9cae66 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Yoshida, Gapped boundaries, group cohomology and fault-tolerant logical gates, Annals of Physics 377, 387 (2017)
Reference 54
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Observation 1fac9caf-55ec-4b1b-96af-4e737435173c · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 55
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Observation d4414365-485f-4805-a676-091998899129 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 56
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Observation 916e1132-426d-4313-877e-eca7a4677300 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Magic Boundaries of 3D Color Codes
Reference 57
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Observation 196586dd-216c-450d-b915-ea6647cfd870 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Ungauging quantum error-correcting codes
Reference 58
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Observation 7ffbd96e-a34c-41b1-850f-69069fdcaf70 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry The Physics of (good) LDPC Codes I. Gauging and dualities
Reference 59
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Observation 4996f4b0-4fdb-4505-b89b-4799be3627f6 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry The Physics of (good) LDPC Codes II. Product constructions
Reference 60
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Observation b7898671-1d1a-41d3-92ae-d2fa66b606f7 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Guth and A
Reference 61
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Observation 4c69cb1c-a046-4140-9d21-dd80aaea8058 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Tillich and G
Reference 62
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Observation 58cca003-5ca6-42e5-981f-0bcab68d27c4 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Generalized Global Symmetries
Reference 63
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Observation 6cb16385-e023-4cc2-a1d2-41dc03f03a21 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
Reference 64
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Mosher and M
Reference 65
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Observation 33d3184f-b243-4aac-bbc4-291a6bb7e6af · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 66
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology
Reference 67
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Observation 7df7bfd4-5a20-4e92-abbb-e8fd4c069c66 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 68
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 69
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Lloyd, M
Reference 70
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Observation d2a86e6d-47ab-406d-b3bb-0d524f4e1d3b · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Higher-group symmetry of (3+1)D fermionic $\mathbb{Z}_2$ gauge theory: logical CCZ, CS, and T gates from higher symmetry
Reference 71
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Cups and Gates I: Cohomology invariants and logical quantum operations
Reference 72
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Transversal non-Clifford gates for quantum LDPC codes on sheaves
Reference 73
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Quantum LDPC Codes with Transversal Non-Clifford Gates via Products of Algebraic Codes
Reference 74
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Comments on Foliated Gauge Theories and Dualities in 3+1d
Reference 75
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Loops in 4+1d Topological Phases
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Codimension-2 defects and higher symmetries in (3+1)D topological phases
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Gapped Interfaces in Fracton Models and Foliated Fields
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 80
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Hatcher, Algebraic Topology (CUP, Cambridge; New York, 2001)
Reference 81
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Observation d6eaaac1-37be-4784-b0c7-f5834506dfcb · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Hatcher, Algebraic Topology , Algebraic Topology (Cambridge University Press, 2002)
Reference 82
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Observation 604f86be-8f3e-47b9-8468-a902da3b5566 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Higher cup products on hypercubic lattices: application to lattice models of topological phases
Reference 83
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Observation 24ab2e2f-2383-4794-9bed-8f729f9bdf58 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Lattice models that realize $\mathbb{Z}_n$-1-symmetry protected topological states for even $n$
Reference 84
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Observation e2983146-9590-47fc-be8a-0973e14af1fc · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Thomas, A generalization of the pontrjagin square cohomology operation, Proceedings of the National Academy of Sciences 42, 266 (1956)
Reference 85
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Observation 6a5f36e0-e190-42b6-b6f9-e29e9290d7f6 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 86
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Observation 5c8a3f67-e799-4f1e-925e-6ca55045df93 · outbound
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Topological color code and symmetry-protected topological phases
Reference 87
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Single-shot fault-tolerant quantum error correction
Reference 88
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Experiments with the 4D Surface Code on a QCCD Quantum Computer
Reference 89
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Unresolved cited work
Reference 90
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Gromov, Systoles and intersystolic inequalities, Sem- inaires et Congr` es Soc
Reference 91
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry The Quantum Double Model with Boundary: Condensations and Symmetries
Reference 92
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Non-invertible symmetries in finite-group gauge theory
Reference 93
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Kubica and M
Reference 94
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Gauge Color Codes: Optimal Transversal Gates and Gauge Fixing in Topological Stabilizer Codes
Reference 95
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry An effective proof of the Cartan formula: the even prime
Reference 96
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Classification of (2+1)D invertible fermionic topological phases with symmetry
Reference 97
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry String Condensations in 3+1D and Lagrangian Algebras
Reference 98
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Boundary states of Three Dimensional Topological Order and the Deconfined Quantum Critical Point
Reference 99
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Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry Luo, Gapped boundaries of (3 + 1)-dimensional topological order, Phys
Reference 100
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Quantum Codes with Addressable and Transversal Non-Clifford Gates Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 46
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Observation 7c184f46-e378-45fa-84a0-61ec4037cb7c · inbound
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Reference 26
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Reference 81
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Reference 47
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Observation dbe79c05-2800-433a-a048-672ab475e27f · inbound
Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 43
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Reference 49
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Parity-Aware Byte-Pair Encoding: Improving Cross-lingual Fairness in Tokenization Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 19
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Stratified Cohomological Quantum Codes via Colimits in Ch(R) Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 23
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Observation 3db1c36d-14df-4303-a6f7-359621eb69f2 · inbound
Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 22
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Observation db96f502-78f2-4e83-a60a-34e7dbc12dc4 · inbound
Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 15
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Reference 26
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Reference 76
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Observation 0bbaf95a-1403-4884-b2d7-7950eebdcc50 · inbound
Multivariate Multicycle Codes for Complete Single-Shot Decoding Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 125
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Observation 81cda867-8cea-4fb9-a3ed-5cf8a24a894f · inbound
Spatial overhead reduction for 2D hypergraph product codes Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Reference 103
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