Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T08:06:32.762141Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2510.23162.
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 2026-08-04T08:06:32.762141Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 83d6e20f-3f95-47a7-b998-e6494f8a885e · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 1
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Unavailable: canonical work link unavailable.
Observation f0210aa3-9af8-4243-8c2d-37ac61f8e32f · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits The topological order stems from the SSB of the 1-form symmetries [38–41]
Reference 2
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Observation 157fdbf2-45d6-49e8-be1c-0490f0e62958 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits The GSs are discriminated by eigenvalues of two out of four non-contractible loop operators that are commutative with each other
Reference 3
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Observation 0be37ddc-98d2-4d8c-98fb-f8eb1a0b620d · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 4
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Observation 6ea0cf45-62e6-48ea-8327-1ee1ba1a044a · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Kitaev, Fault-tolerant quantum computation by anyons, An- nals of Physics303, 2–30 (2003)
Reference 5
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Unavailable: canonical work link unavailable.
Observation 205ce5ac-d404-4c95-885b-9864b79b2da7 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits The Heisenberg Representation of Quantum Computers
Reference 6
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Unavailable: canonical work link unavailable.
Observation 7560a980-a2ea-4fae-bf31-08d96788a176 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 7
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Unavailable: canonical work link unavailable.
Observation cad7e06f-2539-4892-ac60-9dc1262a0153 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Quantum Computation with Topological Codes: from qubit to topological fault-tolerance
Reference 8
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Observation 85741c58-92e0-43da-bc0d-79602f8f6b9e · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems
Reference 9
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Observation 85488ed6-b2b4-4196-83c7-ac12c795d988 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 10
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Observation 508091b0-a87c-48c8-a1b7-8f7f43d4b2ce · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits ’t Hooft, On the phase transition towards permanent quark confinement, Nuclear Physics B138, 1 (1978)
Reference 11
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Observation 7ea311f5-7d92-47d5-a192-b8efc15bedfb · outbound
Reference 12
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Observation c772b58d-ce60-494b-ae50-9e9bc7888cd0 · outbound
Reference 13
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Observation 01e00de1-1c28-4c42-9929-1b8a0341c26f · outbound
Reference 14
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Observation f7235a7f-ee67-4b6b-9a7c-158357490b45 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 15
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Observation df894041-022c-4c34-8d29-c929db271048 · outbound
Reference 16
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Observation 2eed16a6-8439-483f-8127-4806ae3a347e · outbound
Reference 17
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Observation d90e90b9-8563-4f2e-944e-0d1fbe79c486 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 18
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Observation 2877b2cb-b140-4694-8302-1634941c9d6d · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 19
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Observation fbadb1cf-eb82-4ffa-8567-38c3e2fcc0d4 · outbound
Reference 20
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Unavailable: canonical work link unavailable.
Observation a0ea22d7-4fef-4caa-b31a-614a39bf39ef · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 21
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Unavailable: canonical work link unavailable.
Observation bc71aa51-fcba-4ac8-b2be-88713663a9f6 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 22
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Unavailable: canonical work link unavailable.
Observation 317233f0-2a83-4435-945c-eddd881f668d · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 23
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Observation a700c9bd-9a28-4ca4-9eb7-28a8cba13ed7 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 24
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Observation 99bfb5f0-ee64-4095-b8a3-9603e96a9e2a · outbound
Reference 25
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Observation dc28de92-0d53-4885-866c-54c2614bfc9f · outbound
Reference 26
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Observation 5704e69d-b251-4a4b-8472-344c557dc38a · outbound
Reference 27
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Observation 14fe1486-44b6-42b7-bf96-c3ca261dbb52 · outbound
Reference 28
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Observation 6fbd480b-6f44-4ed8-8e44-a72a6fb11aab · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 29
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Unavailable: canonical work link unavailable.
Observation 39902233-8997-41d1-a123-059d64fbb74c · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 30
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Unavailable: canonical work link unavailable.
Observation 87eeb018-23ab-4c63-9157-92c4438a4f6b · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Aaronson and D
Reference 31
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Observation 950e0802-27ab-4ab8-8636-6843b731cfa7 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 32
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Observation 907ea29c-9b86-4251-bc8f-d2c1ef33d4ac · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 33
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Observation 0f5749e0-22de-497a-93e3-e7d29cd1f84e · outbound
Reference 34
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Observation 47a9f7d2-b335-49de-a97c-615be19edc3e · outbound
Reference 35
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Observation 3a6970f9-8e6b-4b18-aa49-421a5f59b115 · outbound
Reference 36
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Observation 7d6d8f7f-927a-4642-94c9-69d1724ec0dc · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Levin and X.-G
Reference 37
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Unavailable: canonical work link unavailable.
Observation 211d4f9c-b00a-48af-879d-d4b8c6bea492 · outbound
Reference 38
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Observation e14f45a7-4c31-4246-a67c-f5398408a6da · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Information-theoretic principle of emergent 1-form symmetries
Reference 39
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Observation dc1306c1-818a-4f9b-8bfd-7301f0b7fd13 · outbound
Reference 40
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Observation 486ac189-4fb8-441e-9629-d38b303d7082 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Nussinov and G
Reference 41
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Observation 513ec067-0c5f-4853-8eb8-89bbc1d311d7 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Nussinov and G
Reference 42
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Observation a15749be-8c4b-444f-bd2e-29aa60afcdb4 · outbound
Reference 43
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Observation d0c3d0a9-e411-49ae-ad7c-6e2cf86c14ed · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits McGreevy, Generalized symmetries in condensed matter, An- nual Review of Condensed Matter Physics14, 57–82 (2023)
Reference 44
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Observation 01e0622a-f1de-486d-8624-7680b19eb592 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 45
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Observation 3af9c12a-487f-42ce-94c5-e2e047d44ddd · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Entanglement in the stabilizer formalism
Reference 46
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Observation b8ff7b92-c8ae-4d29-af3f-43879c6527a2 · outbound
Reference 47
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Observation eb627cb8-2b3c-48cf-bd11-95ecd2e9c1fa · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 48
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Unavailable: canonical work link unavailable.
Observation 873d2d2b-b516-4c79-b05e-ee4b8316ad4e · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits autoScale.py - A program for automatic finite-size scaling analyses: A user's guide
Reference 49
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Unavailable: canonical work link unavailable.
Observation 3e860b94-e672-4ebd-95e9-daa751da0e29 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Sorge, autoscale.py - a program for automatic finite-size scaling analyses: A user’s guide (2015)
Reference 50
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Unavailable: canonical work link unavailable.
Observation 5ff1642f-050c-4b62-9463-fabbcd578bbb · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Stauffer and A
Reference 51
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Unavailable: canonical work link unavailable.
Observation ecb2402d-ba2b-4891-a511-1a0e13d9da01 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Fredenhagen and M
Reference 52
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Observation 1a013f13-b186-4270-8044-3c25f0e8d183 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Fredenhagen and M
Reference 53
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Observation bf04317e-f06d-4c93-9ccf-8ce07c0a498d · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 54
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Unavailable: canonical work link unavailable.
Observation bac7969d-44c2-435f-ba5e-a82bdea7cbb5 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 55
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Unavailable: canonical work link unavailable.
Observation e91d5efd-7d67-4978-9d99-5ea8b3ea9b73 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Castelnovo and C
Reference 56
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Observation 55cb2a61-b4b0-444d-ba30-93366a24c1a1 · outbound
Reference 57
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Unavailable: canonical work link unavailable.
Observation 3d4c08af-460f-4eb7-8e75-047d10b03311 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits The EE of subsystemA,S A, is given by the number of the independent stabilizers{Z e, Xe, As, Bp}that connect the subsystemAand its complementA c[43]
Reference 58
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Observation 648a5a80-f697-4aa3-a5af-2de77e290c76 · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits The order of the time stepO(10 3)is sufficient for observing the properties of the 12 FIG
Reference 59
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Observation 64cf1353-8c96-46d8-b94e-8f82920e6c2d · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits Unresolved cited work
Reference 60
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Observation f92722ec-5e03-45b2-9cd5-5c527a6ba3bf · outbound
Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits In this subsection, we display the calculations of their expectation values for pz +p g = 1
Reference 61
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No inbound Pith citation observations are available.