Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:44:23.341206Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 16 inbound Pith citation observations for arXiv:2507.02292.
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 2026-08-06T20:44:23.341206Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:44:23.007884Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T13:18:12.883835Z
71 of 71 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 50018b6a-81a0-495e-95c5-20e453f39ec2 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ddd76d28-6716-4dbb-b9f5-09b1173b2e5f · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5be803aa-4e6a-4b78-a7dd-9c37b22389c4 · outbound
Mixed-state phases from local reversibility Mixed-state phases from local reversibility
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d30a71ef-7a0f-4ad1-8fb4-e743e8c34e4a · outbound
Mixed-state phases from local reversibility III the topological degeneracy of mixed-states via local indistinguishability, which gen- eralizes the topological degeneracy in topologically or- dered ground states
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2704849a-77dd-4ea2-8215-7da0613f5caa · outbound
Mixed-state phases from local reversibility IV that the spontaneous symme- try breaking of 1-form symmetries, or equivalently the ’t Hooft anomaly associated with the symmetries, is also a phase invariant
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8a175fd5-46fc-425b-9bb5-623068147d48 · outbound
Mixed-state phases from local reversibility topological entanglement entropy
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eee7aa4c-43b3-4430-abbe-eb691e2b3bbe · outbound
Mixed-state phases from local reversibility As we will illustrate with the ρcl example, the constraint removes ‘unphys- ical’ locally indistinguishable states
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 513ca5af-0a36-47fb-98ca-8d3b05c2155d · outbound
Mixed-state phases from local reversibility To see this, it suffices to check that σ3 is locally indistinguishable from ρ and has a finite Markov length
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 61078f81-4631-4870-b2ec-a29efce3c0e6 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1f7379d9-0731-4fce-8145-a0fea25b8048 · outbound
Mixed-state phases from local reversibility fidelity observable
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7c473780-36fb-4986-9015-50d3f1118f2d · outbound
Mixed-state phases from local reversibility A local automaton for the 2D toric code
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d792f1b4-a6d4-4095-8d6e-30016394af42 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7938b4c9-b6b4-4d4f-af15-847c6ae08a0e · outbound
Mixed-state phases from local reversibility For q = 1 /2, the classical loop state with no non-contractible loops ρcl = ρ00 cl is reached
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f722e1e6-8c79-4b62-ab6e-e4f5eff9a9f0 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 57e0f18c-49d7-4a9b-a375-7c2aea92f59e · outbound
Mixed-state phases from local reversibility (B17) not only gives the correct critical behavior at q ≈ qc, but is also accurate even for q/qc ≪ 1 (and |A| large), far from the regime ( q ≈ qc) it was initially derived from
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4d06ccd5-d9b9-4d6c-847f-02361eb9f582 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bc49acaf-9f7d-45ba-b277-14dd38ce1bbb · outbound
Mixed-state phases from local reversibility Chen, Z.-C
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a6ca4b47-2fb3-49eb-9314-9057eadd58b8 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 690e5edf-acf7-41a2-a4ab-beef4beb7b67 · outbound
Mixed-state phases from local reversibility Verstraete, M
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92470c78-6320-4fda-9fd7-a42359f65bc8 · outbound
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f70f7079-8f6a-4d1c-8fb9-d18b6c6c0f2c · outbound
Mixed-state phases from local reversibility symmetry pullback
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 58ec2a67-c83c-4401-9c46-d16e5b52845b · outbound
Mixed-state phases from local reversibility Diagnostics of mixed-state topological order and breakdown of quantum memory
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bec7d4c8-87d0-4a01-9a56-b65152c8a7ea · outbound
Mixed-state phases from local reversibility Quantum criticality under decoherence or weak measurement
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39f26c93-d856-430e-9cc6-af2dfb91b98a · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b623984c-b16a-49b1-bb78-7a9971109038 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6bd696d6-c484-454b-ac77-8708772f5c61 · outbound
Mixed-state phases from local reversibility Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed5b3a75-f83d-4044-b4dd-eeba3c72b015 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47e56569-d43f-4a55-aeab-305754b500dc · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cc952143-548a-4767-b1e2-985b2700cd9c · outbound
Mixed-state phases from local reversibility Coser and D
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5fdcce3d-58c2-4a79-80fd-8676803200f4 · outbound
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d41704a0-cfef-4468-8a0e-93b42623147e · outbound
Mixed-state phases from local reversibility Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6884052d-f164-4e48-83a8-e92870fa6103 · outbound
Mixed-state phases from local reversibility Symmetry Protected Topological Phases of Mixed States in the Doubled Space
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0f5f0ff-e225-4e19-9774-954bf16f4528 · outbound
Mixed-state phases from local reversibility Separability transitions in topological states induced by local decoherence
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 260e3742-a28d-4c41-bb8a-d1c16613f522 · outbound
Mixed-state phases from local reversibility Symmetry-enforced many-body separability transitions
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e795b9d-d6a2-4898-8161-26407b410fcd · outbound
Mixed-state phases from local reversibility Tensor network formulation of symmetry protected topological phases in mixed states
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 319b2ff9-8389-4cfd-80c2-4d8e2b69edb7 · outbound
Mixed-state phases from local reversibility Mixed-state quantum anomaly and multipartite entanglement
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 876b0cdb-ecf6-4bb0-b170-cf5948e47da3 · outbound
Mixed-state phases from local reversibility Higher-form anomaly and long-range entanglement of mixed states
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c91a1e2f-728b-48c3-9b16-84f6676cdc4b · outbound
Mixed-state phases from local reversibility Towards a classification of mixed-state topological orders in two dimensions
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 045612a6-456e-496f-8d6d-dcc1e718a9f4 · outbound
Mixed-state phases from local reversibility Intrinsic Mixed-state Topological Order
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 294c4e80-d6c5-4f20-ad9c-192ea7ea17ef · outbound
Mixed-state phases from local reversibility Anomaly in open quantum systems and its implications on mixed-state quantum phases
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d697106f-6ed0-4e39-9e6e-38d20c66c184 · outbound
Mixed-state phases from local reversibility An analog of topological entanglement entropy for mixed states
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d8361c04-8b51-487b-b16c-e02f528f2c40 · outbound
Mixed-state phases from local reversibility de Groot, A
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9aa1c7a2-792a-4aaf-8bc4-4c50c1836985 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a36733f7-e3cf-4614-9b71-80d8b4dcbd5b · outbound
Mixed-state phases from local reversibility Rakovszky, S
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 63388687-5877-4898-a45d-37d189147e7d · outbound
Mixed-state phases from local reversibility Sang and T
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f158fc07-53a7-4f96-9471-43fb509c7bb9 · outbound
Mixed-state phases from local reversibility Finite-temperature quantum topological order in three dimensions
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d91457c-8bb2-4ef9-b6a9-5b04718a96f2 · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 11afa796-e984-4289-a137-e039d3bf76cc · outbound
Mixed-state phases from local reversibility Levin and X.-G
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6453f019-90c2-4c06-b20b-df7e0d39782c · outbound
Mixed-state phases from local reversibility Castelnovo and C
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 723003ec-5078-471e-abce-192bb1152716 · outbound
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 83f25b7d-12ce-49db-857a-0878b14a6f19 · outbound
Mixed-state phases from local reversibility Kitaev and J
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b1611ee-bc84-411b-adb4-666ef7206ef0 · outbound
Mixed-state phases from local reversibility Castelnovo and C
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5476f0ce-5424-4368-80ee-e61c570da7f6 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7fe8c604-8a02-4eec-84ce-6a55fbaf48cf · outbound
Mixed-state phases from local reversibility Quantum Markov Networks and Commuting Hamiltonians
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4201b21a-9794-4393-8a1c-7babb714325f · outbound
Mixed-state phases from local reversibility Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95d26b5e-3ad8-460f-9935-1e1ccdb52fcd · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6ff32149-9480-44a6-9f99-46ddcad14986 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30ef6be1-347a-42dd-9361-bde842aae349 · outbound
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2616a84a-1ca8-4a9c-b9a1-f635a2bf8b08 · outbound
Mixed-state phases from local reversibility Replica topological order in quantum mixed states and quantum error correction
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aeba946c-cba4-43c1-b822-bbf6c08f5490 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b46ca795-c076-4bfc-a30f-57f99ad38947 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e28f019d-f758-42ae-bd97-2b4cedf317e6 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62247036-934d-4a33-b572-d5dd838e254f · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation be6f76a7-0bcf-4b16-a76b-9383ca317b0c · outbound
Mixed-state phases from local reversibility Levin, A physical proof of the topological entangle- ment entropy inequality (2024)
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5a4d8280-7eed-4ce9-8e56-a2e4501831cc · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5c8171f9-bb81-43ab-bb8d-a8af19332479 · outbound
Mixed-state phases from local reversibility Quantum Gibbs states are locally Markovian
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ba1e873-2d8e-48dd-9b04-e966bdf38bcb · outbound
Mixed-state phases from local reversibility Kato and F
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e11a349-078c-4056-b23a-f6fdc7071ae5 · outbound
Mixed-state phases from local reversibility Unresolved cited work
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3128a38d-fa9a-4b0e-8ad1-e9b5d0d032ae · outbound
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6b836f0d-3ec8-46dc-9aef-254080eac457 · outbound
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6c40b4c-e4a6-4e77-94b8-02904e3402b7 · outbound
Mixed-state phases from local reversibility Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5be803aa-4e6a-4b78-a7dd-9c37b22389c4 · inbound
Mixed-state phases from local reversibility Mixed-state phases from local reversibility
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4dfc2ff1-aba1-49c4-bc9b-d205a32da615 · inbound
Topological Holography for Mixed-State Phases and Phase Transitions Mixed-state phases from local reversibility
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c05a5516-ffe1-4849-a6dc-3f76b38db015 · inbound
Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model Mixed-state phases from local reversibility
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 50dd8e82-c3e3-4543-95ed-7f3458a5be2e · inbound
Krylov Complexity and Mixed-State Phase Transition Mixed-state phases from local reversibility
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation faf304cc-c03f-43fc-b85a-a69c99c7c7fe · inbound
Noisy Monitored Quantum Circuits Mixed-state phases from local reversibility
Reference 196
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce4ba85f-8f66-4109-8bbd-294d7ca162b1 · inbound
Non-perturbative constraints on stability and renormalization group flows in nonequilibrium matter Mixed-state phases from local reversibility
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8c7c7aa-139f-4b99-97f5-e4f6f0e9d8c3 · inbound
A Unified Framework for Locally Stable Phases Mixed-state phases from local reversibility
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0b72e7a7-0f5c-4567-8fce-b080bc716163 · inbound
Mixed-State Long-Range Entanglement from Dimensional Constraints Mixed-state phases from local reversibility
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4064080c-4efb-48b2-8e9d-4f4e338fa788 · inbound
A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems Mixed-state phases from local reversibility
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 578ca573-912e-4ec1-9518-b0ff75222742 · inbound
Local Strong-to-Weak Spontaneous Symmetry Breaking Mixed-state phases from local reversibility
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 224ac9d1-f697-4c97-8446-e2a1e4d24584 · inbound
Local diagnostics for strong-to-weak spontaneous symmetry breaking and non-equilibrium phase transitions Mixed-state phases from local reversibility
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3977683c-8221-4a40-877d-56f240796c84 · inbound
Strong-to-Weak Spontaneous Symmetry Breaking Mixed-state phases from local reversibility
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3d3d14a8-e1e5-4b20-8639-e97d32e218c4 · inbound
From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations Mixed-state phases from local reversibility
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c05c31d8-fcf5-4e25-9695-913c10d45b68 · inbound
From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations Mixed-state phases from local reversibility
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bdc017e7-df09-4653-89a5-ebd8b3b3c874 · inbound
Static features from mixing in short- and long-range Lindbladians: Markov property and correlations Mixed-state phases from local reversibility
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0473cbeb-a7c3-4d2d-abe7-cca7469272e9 · inbound
Static features from mixing in short- and long-range Lindbladians: Markov property and correlations Mixed-state phases from local reversibility
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.