Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:47:15.470483Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 6 inbound Pith citation observations for arXiv:2505.02900.
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 2026-08-16T00:47:15.470483Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:20:13.714850Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T17:05:51.368844Z
87 of 87 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5fbb23ad-f2aa-46a7-abd3-93f6d493621d · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc7faea3-11da-425a-84aa-6d1f08947d14 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d944dc0-e684-4619-827a-543d50d46771 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87281bbc-454e-43c1-aa78-485af4394548 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6b824a3-f488-4f41-afa2-1e92be0a21c9 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 5
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Unavailable: canonical work link unavailable.
Observation b8980f79-c04a-47c2-a279-fa0b2ad9b407 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 6
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Unavailable: canonical work link unavailable.
Observation bd2e8001-e054-4b3f-85c4-7597ab1d97a8 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Verstraete, M
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45ae96c2-b51a-48f5-b665-c4eef56749a3 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Diehl, A
Reference 8
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Observation 79072859-b1c2-4e36-8501-5b197a51147a · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 9
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Unavailable: canonical work link unavailable.
Observation a9fd640c-75b9-4ebe-befb-68e72d7d1c3f · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Coser and D
Reference 10
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Observation dd0828ac-c966-4323-9587-c750e1b1e1f3 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 11
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Observation 1f06610b-eec0-40fd-8d6b-394dbd003cba · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d780c8b-913e-403c-97a6-12ee1ff7c057 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 13
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Unavailable: canonical work link unavailable.
Observation c2999780-293c-48b1-b7b4-1bcf065b9636 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 14
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6170547d-e930-4dd2-a0fd-1c3d2af9b74e · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding de Groot, A
Reference 15
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Observation f9c55e88-39d6-4d1e-835f-029a8f961c74 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Ma and C
Reference 16
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Observation de282fde-c835-441d-9d09-87ca10306eb6 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Zhang, Y
Reference 17
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Observation 7f23db0b-0f51-4141-b4c1-1fb246f40bcb · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic
Reference 18
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Observation 4d9d2837-3d08-440f-89a9-7608fe596d73 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Rakovszky, S
Reference 19
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c2c70bbd-a347-4fc8-86bf-1bd4150738b7 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 20
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 71615451-67fc-488f-bb87-cc118fcce1d0 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Sang and T
Reference 21
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Unavailable: canonical work link unavailable.
Observation b5ad8dd0-fe3c-460f-8fff-ee50b99b8525 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 22
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Unavailable: canonical work link unavailable.
Observation eb97be88-5c32-4d57-830b-32f174548e93 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
Reference 23
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Unavailable: canonical work link unavailable.
Observation 49b6de3c-abee-4ed4-b64d-7fc894056f25 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements
Reference 24
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Unavailable: canonical work link unavailable.
Observation 1cd8b786-f3f6-4b87-9fa4-43f0e73f365b · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Chen and T
Reference 25
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4d725282-19ef-4848-b062-15885514c666 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Chen and T
Reference 26
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e90b8871-14ee-4893-ae2a-e4c0b34918bd · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Mixed-state quantum anomaly and multipartite entanglement
Reference 27
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Unavailable: canonical work link unavailable.
Observation 9a46d383-3e6f-45b1-b793-77242b6583e3 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Chen and T
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 668b737e-0779-4112-817b-8eb82719e865 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b0084963-cf31-4b04-b6ce-d3e14ab1baa9 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 30
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Unavailable: canonical work link unavailable.
Observation 73328850-9841-47be-96a6-b3d1ae423c83 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding A Noisy Approach to Intrinsically Mixed-State Topological Order
Reference 31
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Unavailable: canonical work link unavailable.
Observation 7b80db23-23fe-4a10-b8c3-7079efc71d38 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 32
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Unavailable: canonical work link unavailable.
Observation add14d11-3784-4820-be4d-7b00a2852f49 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 33
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Unavailable: canonical work link unavailable.
Observation 35ccb80b-047c-4700-8920-a6e437b80ada · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Wang, X.-D
Reference 34
Source-reported events for the cited work
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Observation 15c5098c-7797-41b1-98e0-275fbddfc536 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Wang and L
Reference 35
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Unavailable: canonical work link unavailable.
Observation 6e6a3ff7-44eb-40eb-be0f-8885e0c75400 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Tensor network formulation of symmetry protected topological phases in mixed states
Reference 36
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Unavailable: canonical work link unavailable.
Observation 10dc5d9d-9c4a-4ff6-a6d4-249593253eb1 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
Reference 37
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Unavailable: canonical work link unavailable.
Observation d4d14a28-6695-49c8-bb95-c087d7414d05 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Ma and A
Reference 38
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Unavailable: canonical work link unavailable.
Observation 2e3620df-2050-4f85-a060-d0f62ba0e30e · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 39
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Observation 0865a27b-fb27-4115-b522-34cf94bc9a98 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 40
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 046d447c-d86c-4b7c-960b-fd84e295f1d6 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 41
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Unavailable: canonical work link unavailable.
Observation 1d83b48a-00dc-497b-ab22-a7c1e17047a0 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 42
Source-reported events for the cited work
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Observation 0832b076-0627-4022-bf67-0c7c3d030f30 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 43
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Unavailable: canonical work link unavailable.
Observation b87a17bf-8bc8-4b12-aa95-6624c0201ecd · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Persistent Topological Negativity in a High-Temperature Mixed-State
Reference 44
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Unavailable: canonical work link unavailable.
Observation 17950393-6882-4550-9c9a-8240903ccce6 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c908f673-9579-4bb9-8b79-12eb93f569f4 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Weinstein, Physical Review Letters 134, 150405 (2025)
Reference 46
Source-reported events for the cited work
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Observation 6ab21fb6-082c-4973-a0c1-8b6adf3e363e · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 47
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Observation e31ad793-a895-4463-818a-0a9a47f4c02f · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 48
Source-reported events for the cited work
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Observation 9b3eecc3-1927-4387-80df-884d4e6162ba · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Mixed-State Topological Order under Coherent Noise
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fdad9cb6-aad3-4408-9f2d-05ed7a0a795e · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Spin Liquid and Superconductivity emerging from Steady States and Measurements
Reference 50
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Observation bfd621ba-a9a8-423a-81a0-a62c6ab58f9a · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 51
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Observation a05b28c6-2de0-4a71-80de-dd8790b75dde · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Universal Properties of Critical Mixed States from Measurement and Feedback
Reference 52
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Observation dae0355f-844b-4f94-8bdc-14b8d60fc517 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 53
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Observation 3b7e4f0f-aadf-4ecf-b33f-b579f72e6071 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 54
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Observation 5ba33e00-7192-46a7-a35c-bc280ed4a67d · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Moses, M
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e909b93b-75e2-4002-9921-b48384eefba5 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Huang, R
Reference 56
Source-reported events for the cited work
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Observation 6cec85ee-7834-4425-b74a-95e11c9ebefe · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Elben, R
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e80e36da-8d5c-4d26-aa09-5b419edb3f0b · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Schumacher and M
Reference 58
Source-reported events for the cited work
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Observation 7ec0e215-4edd-4a92-a7d8-c296962369b8 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Peres, Physical review A32, 3266 (1985)
Reference 59
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Observation 0e878c7d-1c8c-44ac-b3a7-5381fd16ba70 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 60
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Observation 4a7eb301-8845-487d-9a8c-c5a1c03f583f · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Gottesman, Stabilizer codes and quantum error cor- rection (California Institute of Technology, 1997)
Reference 61
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Unavailable: canonical work link unavailable.
Observation 34bab6f5-e7c7-4ea5-bc51-fd829f5e8a4a · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 62
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Observation f3c95a71-d779-4e1a-9b43-9d15bc6f9c98 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 63
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Observation e82d7a20-fd37-4706-b73b-3629957f9e2c · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Exploring critical systems under measurements and decoherence via Keldysh field theory
Reference 64
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Observation 0f84d46e-0c5f-4005-8d2c-8f79ebc7dcb3 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 65
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7294092e-4e19-4519-8383-fb0d95f772b1 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 66
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Observation 63fba2dd-b62c-4267-a0e3-ea129224a1c0 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Knill and R
Reference 67
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Unavailable: canonical work link unavailable.
Observation 15a2dad1-0c08-461d-9978-82103088fa63 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Devetak, IEEE Transactions on Information Theory 51, 44 (2005)
Reference 68
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Unavailable: canonical work link unavailable.
Observation 0be8f0d4-151c-4397-9989-dd4a5471bfe4 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Bény and O
Reference 69
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Observation 509f220f-bf67-4176-b3da-624ced28db59 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Thus, the map- ping between two such states can be implemented with a unitary operation with one ancilla qubit per system qubit
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 659e1fa1-8a43-4c96-b3a2-373ea1bdcf2a · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Schön, E
Reference 71
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b9279ee8-b8fe-4dbf-a40b-05b437f2fecb · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Matrix Product State Representations
Reference 72
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Unavailable: canonical work link unavailable.
Observation cdb42333-a79e-43d9-bdd1-ec751ce97dd8 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Schön, K
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d2052009-b1aa-417a-8162-695b3555b37a · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Foss-Feig, D
Reference 74
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 33d7b321-8ba7-4665-926a-d33a4f8fef8b · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 75
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Observation 011409ab-c04a-4288-83f4-406f099b4619 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Zhang, S
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e83f3f32-b54f-4b2a-9ed2-90a1136f7561 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Anand, J
Reference 77
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7ea72c4d-3e54-4635-8f7d-b9900e493c40 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Zhang, S
Reference 78
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b94afd79-8618-495f-a7dc-7201b6dca6dc · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 79
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dc715676-638f-405d-af07-435484c49937 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Zhang, J
Reference 80
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 52c68588-66a9-430a-9fff-475e7c62bfc1 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Unresolved cited work
Reference 81
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 638ad3be-6bc4-4930-a4a6-879c0f269f67 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Oshikawa and I
Reference 82
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fad59233-6d60-45da-a528-25e69e191def · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Zulehner and R
Reference 83
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bd8416a9-97ce-4e44-96ed-61a1357cafbe · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Adam: A Method for Stochastic Optimization
Reference 84
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Unavailable: canonical work link unavailable.
Observation dffdd03c-2b45-4e40-8832-6eea76ab7aa4 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Truger, J
Reference 85
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Observation e9ee60d3-3b35-4fa7-820e-80f0089c6276 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Scalable quantum dynamics compilation via quantum machine learning
Reference 86
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Observation aad11f43-33fa-45a2-a5c7-9cb1a04f01a3 · outbound
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding The computational power of random quantum circuits in arbitrary geometries
Reference 87
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Unavailable: canonical work link unavailable.
Observation 61cfa750-24df-447d-b1bb-457cc8b974ce · inbound
Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Reference 49
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Unavailable: canonical work link unavailable.
Observation 92db7552-20b7-49c7-b190-4b15aac1b552 · inbound
Krylov Complexity and Mixed-State Phase Transition Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ee74654b-a955-4ded-b106-b7a370c31109 · inbound
Observation of Strong-to-Weak Spontaneous Symmetry Breaking in a Dephased Fermi Gas Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a209378e-8968-473f-8d0b-b49da1e178a9 · inbound
Static features from mixing in short- and long-range Lindbladians: Markov property and correlations Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0c600547-15f5-4bf8-87d0-cdb1ba297a93 · inbound
Static features from mixing in short- and long-range Lindbladians: Markov property and correlations Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Reference 23
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Unavailable: canonical work link unavailable.
Observation d9c5e446-7982-4872-a815-89b63303957a · inbound
Approximate Quantum Error Correction at Chiral Topological Edges Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Reference 109
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Unavailable: canonical work link unavailable.