Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:43:00.679105Z
Paper Citation Record · LEDGER
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
As of 17 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 7 inbound Pith citation observations for arXiv:2412.00193.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
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 2026-08-16T01:10:23.894616Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T17:48:46.202137Z
Reference resolution
68 of 68 outbound references displayed
- verified exact1
- verified fuzzy7
- unresolved60
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ca00da92-51ab-42d7-b98e-494c0e98ac10 · outbound
This paper cites Fault-Tolerant Quantum Computation With Constant Error Rate.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Fault-Tolerant Quantum Computation With Constant Error Rate
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.405376Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98db03ff-271f-4d39-925d-7be451ffcda7 · outbound
This paper cites Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics303, 2–30 (2003).
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics303, 2–30 (2003)
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.409804Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 244d57fb-db57-4a36-bee7-53fcf2e19fdb · outbound
This paper cites Knill, R.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Knill, R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.649527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 26e2a30a-30b7-4a65-9abd-797077769049 · outbound
This paper cites Fault-tolerant quantum computation.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Fault-tolerant quantum computation
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.417246Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99ee56d0-e0cc-4b33-8418-1aedba33546a · outbound
This paper cites Dennis, A.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Dennis, A
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.421666Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 161f7b7d-c205-41ef-80c7-b512311bc129 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.631566Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1e7baaa8-1cd8-4a7c-bd09-e72434b735c6 · outbound
This paper cites Information dynamics in decohered quantum memory with repeated syndrome measurements: a dual approach.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Information dynamics in decohered quantum memory with repeated syndrome measurements: a dual approach
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.429571Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 672b66af-843a-496c-869d-87c4cfadbc03 · outbound
This paper cites Verstraete, M.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Verstraete, M
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.433498Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd51e95d-8224-4128-913e-10bec45d7414 · outbound
This paper cites Diehl, A.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Diehl, A
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.437027Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d89d759-ab1c-4489-a5e6-24a78114e9a3 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.608379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b2993dfc-89ec-4b02-aa6f-8e33f978f243 · outbound
This paper cites Coser and D.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Coser and D
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.444259Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a4f9546-fcf8-4b16-b5a7-b687f7befcfb · outbound
This paper cites Diagnostics of mixed-state topological order and breakdown of quantum memory.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Diagnostics of mixed-state topological order and breakdown of quantum memory
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.447969Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54322341-d6cd-481e-a5d1-af817b84c714 · outbound
This paper cites Separability transitions in topological states induced by local decoherence.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Separability transitions in topological states induced by local decoherence
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.451699Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30ea8d8a-fca7-4fb0-998d-4992d026aca7 · outbound
This paper cites Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.456952Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe87c924-9229-4c3d-b376-c22bbb827394 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.460950Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b754844-8975-4696-8e67-28ce1681b793 · outbound
This paper cites Sang and T.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Sang and T
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.464647Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa3f8310-defa-4a80-a54f-69ec9193140a · outbound
This paper cites Quantum criticality under decoherence or weak measurement.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Quantum criticality under decoherence or weak measurement
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.468279Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2555046-30cd-4df3-b219-1a72b126eaac · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.583612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 13b0d46b-1d8b-4607-8c05-7e4ba0d5f521 · outbound
This paper cites de Groot, A.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases de Groot, A
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.476054Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8097faf2-fb01-4e14-917e-e9b16a5b7a67 · outbound
This paper cites Ma and C.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Ma and C
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.480146Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a72d557-f469-4f58-886f-3780920a7df3 · outbound
This paper cites Zhang, Y.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Zhang, Y
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.483788Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99484b61-927e-4dad-b682-8cb68f409efc · outbound
This paper cites Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.487246Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0b95272-2a7e-4b56-ae25-9f28395e6b0b · outbound
This paper cites Rakovszky, S.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Rakovszky, S
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.491272Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c85eb223-73ff-49d9-8f38-74aab82ba9da · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.495113Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c55d660d-06da-48d8-8d1f-1f82427d40cb · outbound
This paper cites Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.498640Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2044618a-9e8f-4b97-a7ff-67ce51a82326 · outbound
This paper cites Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.502701Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90b03954-f3b8-4392-afe1-76a88ee78d03 · outbound
This paper cites Chen and T.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Chen and T
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.507290Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3237e816-aba5-496b-8c35-22bc245ca1ac · outbound
This paper cites Mixed-state quantum anomaly and multipartite entanglement.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Mixed-state quantum anomaly and multipartite entanglement
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.511055Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94c9f932-3ef5-4bbf-ad5b-dc747b69d00b · outbound
This paper cites Unconventional topological mixed-state transition and critical phase induced by self-dual coherent errors.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unconventional topological mixed-state transition and critical phase induced by self-dual coherent errors
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.515733Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89f232fc-935c-41ba-8223-188b33db85bc · outbound
This paper cites Symmetry protected topological phases under decoherence.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Symmetry protected topological phases under decoherence
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.519768Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a60fc7a-46a8-4010-9439-479bdbcb5433 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.523821Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bae59fe-ba4e-427b-8cb2-2794587e6289 · outbound
This paper cites A Noisy Approach to Intrinsically Mixed-State Topological Order.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases A Noisy Approach to Intrinsically Mixed-State Topological Order
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.527424Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b40ef9eb-e56c-4695-be0e-425cfd2c802e · outbound
This paper cites Towards a classification of mixed-state topological orders in two dimensions.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Towards a classification of mixed-state topological orders in two dimensions
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.531836Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abecc04a-07e2-42e0-b7d7-d8c8ee72c3de · outbound
This paper cites Intrinsic Mixed-state Topological Order.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Intrinsic Mixed-state Topological Order
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.536636Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c73cfd6-ebec-43b0-844c-c57c339f997f · outbound
This paper cites Topologically Ordered Steady States in Open Quantum Systems.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Topologically Ordered Steady States in Open Quantum Systems
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.540921Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8b32c4e-1c18-4547-ae3a-3d041bf970c7 · outbound
This paper cites Anomaly in open quantum systems and its implications on mixed-state quantum phases.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Anomaly in open quantum systems and its implications on mixed-state quantum phases
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.545246Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a8274a9-6a72-4f59-8434-bd63e0a326fa · outbound
This paper cites Tensor network formulation of symmetry protected topological phases in mixed states.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Tensor network formulation of symmetry protected topological phases in mixed states
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.549155Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 554bad22-f6bd-4263-b2c7-3916bc351611 · outbound
This paper cites Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.553169Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c3f3987a-d7f6-4c6d-a909-7e0e2daedae3 · outbound
This paper cites Symmetry Protected Topological Phases of Mixed States in the Doubled Space.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Symmetry Protected Topological Phases of Mixed States in the Doubled Space
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.557967Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b8f8e35-f35c-4334-88a3-1b5f3d8ce00a · outbound
This paper cites Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.563020Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 237e90e2-a25a-4ba1-882d-f93781731f43 · outbound
This paper cites Zhang, Y.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Zhang, Y
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.567083Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0365fcd3-933d-459a-b91b-f2f90e25f191 · outbound
This paper cites Bilayer construction for mixed state phenomena with strong, weak symmetries and symmetry breakings.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Bilayer construction for mixed state phenomena with strong, weak symmetries and symmetry breakings
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.570830Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ab26ac3-81f1-48ff-ba53-8bd9d958f9c0 · outbound
This paper cites Opportunities and Challenges in Fault-Tolerant Quantum Computation.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Opportunities and Challenges in Fault-Tolerant Quantum Computation
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.574624Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89c77c2f-7b8d-42fa-a4af-b3a9e72f6a0c · outbound
This paper cites Raussendorf and H.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Raussendorf and H
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.579878Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9558a7cd-6dcb-42ea-8303-09c8f431c185 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.584032Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2785d0b4-47c4-4d3a-a82c-2e697c58d528 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 46
- Resolution
- verified exact
- doi, observed 2026-08-12T05:43:00.715517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b9fc0d9d-39ff-42ef-b5c2-a3c9607894d5 · outbound
This paper cites Bravyi, M.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Bravyi, M
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.592714Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8b6853b-7e0d-4229-b7f5-89f480a1d7cb · outbound
This paper cites Michalakis and J.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Michalakis and J
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.519796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3e252b31-7268-4551-a4d4-725d50283ca2 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 49
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.508247Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b190cb3f-c4af-4c2a-8cc5-cf6275b95d7a · outbound
This paper cites Dennis, A.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Dennis, A
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.605506Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f55c55cf-2b4a-48e1-9e40-0380cd9f99f3 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 51
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.609522Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 432b3963-8593-4c4f-8cd8-5c3fd28da248 · outbound
This paper cites Paesani and B.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Paesani and B
Reference 52
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.613471Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f6aae71-fe70-46cf-b100-9cb4535b1180 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 53
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.479594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cb7d236e-641c-454b-b69d-e2da3a5bb808 · outbound
This paper cites Roberts and S.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Roberts and S
Reference 54
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.468601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d3028955-e27b-489b-94ed-351143fea4be · outbound
This paper cites Okuda, A.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Okuda, A
Reference 55
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.625817Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0dbddce1-ad05-4e16-bf14-10b24ad25509 · outbound
This paper cites Quantum error correction below the surface code threshold.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Quantum error correction below the surface code threshold
Reference 56
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.630732Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2026eed-1ba4-488d-a61e-50218be0a4f3 · outbound
This paper cites Bombin, D.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Bombin, D
Reference 57
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.635258Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac8e88f2-efea-4616-b6e2-476e745af4bd · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 58
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.640257Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6aa37401-1c6f-4c53-b885-ed732e12f530 · outbound
This paper cites In this context, error correction for the classical memory would be linked to fault tolerance, and the spacetime Markov length could once again be used to detect the threshold.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases In this context, error correction for the classical memory would be linked to fault tolerance, and the spacetime Markov length could once again be used to detect the threshold
Reference 59
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.669100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dcffd206-2c07-400d-8fa1-fa8b44ee8521 · outbound
This paper cites Spacetime codes of Clifford circuits.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Spacetime codes of Clifford circuits
Reference 60
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.643933Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ef7f8d2-8bec-4a1f-ba42-6a88502b1634 · outbound
This paper cites Raussendorf, S.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Raussendorf, S
Reference 61
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.648136Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 271cd45b-2565-41ac-bf65-54ae406f4987 · outbound
This paper cites Quantum Markov Networks and Commuting Hamiltonians.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Quantum Markov Networks and Commuting Hamiltonians
Reference 62
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.652474Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4fc9176-09cd-45f5-b63c-c7b669ebb1b7 · outbound
This paper cites Higgs Condensates are Symmetry-Protected Topological Phases: I. Discrete Symmetries.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Higgs Condensates are Symmetry-Protected Topological Phases: I. Discrete Symmetries
Reference 63
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T05:43:00.656321Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ff8da15-cf6f-4166-ae73-ee0bb245d806 · outbound
This paper cites Using the notation in the main text, we define the density matrix of the circuit in the noiseless limit as ˜ρ0.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Using the notation in the main text, we define the density matrix of the circuit in the noiseless limit as ˜ρ0
Reference 64
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.436613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation edc24a39-a784-4430-983c-906860315152 · outbound
This paper cites (A10) to noisy settings.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases (A10) to noisy settings
Reference 65
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.424445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7567892-8232-4425-bd4d-159b4fe58e63 · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 66
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.413144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 15a652da-b91a-493a-a9ec-f497f28c5c8b · outbound
This paper cites an unresolved cited work.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Unresolved cited work
Reference 67
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:43:01.402434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e2eaa37e-df10-481e-9c76-9bdbd33b3256 · outbound
This paper cites This allows us to relate the CMI of the syndromes in a circuit subjected to coherent error to that of a resource state subjected to the corresponding coherent error.
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases This allows us to relate the CMI of the syndromes in a circuit subjected to coherent error to that of a resource state subjected to the corresponding coherent error
Reference 68
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:43:01.390970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
Observation 9caa3da1-2644-4d2b-9480-4478fd2b5d95 · inbound
Mixed-state phase transitions in spin-Holstein models cites this paper.
Mixed-state phase transitions in spin-Holstein models Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 76
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T23:21:00.033215Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f839dd5e-e49b-4f42-bb87-a0387483f513 · inbound
R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions cites this paper.
R\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T01:10:23.894616Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 922dfe13-11df-4643-aa24-fe040e1c6dd9 · inbound
Spectral properties and coding transitions of Haar-random quantum codes cites this paper.
Spectral properties and coding transitions of Haar-random quantum codes Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T11:01:07.247808Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44c95934-32c6-4283-98f0-e65117ddf8f0 · inbound
Mixed-State Topology in Non-Hermitian Systems cites this paper.
Mixed-State Topology in Non-Hermitian Systems Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 80
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T03:17:12.438880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6c9f32b5-f891-4574-9ea5-691f98b0c13e · inbound
Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective cites this paper.
Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 43
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T19:26:10.502017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d79a6be5-8202-489d-acd4-664d9d9aa63d · inbound
Gauging the Spacetime Code cites this paper.
Gauging the Spacetime Code Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 42
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T13:06:59.363391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 23cbee31-275c-49e6-a058-2d3d6a29d3bf · inbound
Projected logical ensembles in surface codes via the random-matrix theory of quantum dots cites this paper.
Projected logical ensembles in surface codes via the random-matrix theory of quantum dots Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Reference 171
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T17:48:46.203676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.