Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:54.033448Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 2 inbound Pith citation observations for arXiv:2506.04637.
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 2026-08-07T10:52:54.033448Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:56:05.786208Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T16:36:17.672583Z
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f05c2454-8b5f-4c69-9499-7c30bb3a6410 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d040e00b-ed36-4fd5-888e-f13b2cd72293 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 75cd8140-b85e-4dd7-a0c2-0958ea2943a2 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2c1dba39-8f0a-42a5-8c8e-76050886794a · outbound
Entanglement cost hierarchies in quantum fragmented mixed states |ρTA |TA ≥ 0
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a3dadc73-1d1b-4381-a4f6-f14addf99d81 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 98a786f0-9244-47f9-9d36-7a6ee7f15cb5 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states (11) The proofs of the proposition and the theorem are elementary and provided in appendices A 2 and A 3
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 729c9db3-6f5c-4269-8b9d-767115414f15 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Quantum entanglement
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e63d350e-8868-4e5c-9f10-3da734b22c0f · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Preskill, Quantum computing in the nisq era and be- yond, Quantum 2, 79 (2018)
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1aec5bac-14b4-4e12-b3fe-ad73a1b7805a · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e54c5c9b-19ee-4654-8218-b7aaf0757cdf · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4b2ff74-aaf7-49b5-bc7f-e94fbccef3de · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation deaa0e1b-5792-470c-92a8-5be2663560c6 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states A computable measure of entanglement
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4780abb-9a5c-4194-ac58-52a08872e6fd · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 746eeae5-8ce5-4e13-b386-e555ab0ac7c3 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Tserkis and T
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 57cf1cf1-91f5-4264-83b2-4800ee71e422 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Audenaert, M
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 083fc310-5d81-461f-a9ad-49bf07b7482c · outbound
Entanglement cost hierarchies in quantum fragmented mixed states squashed entanglement
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation edee79d9-31ab-4089-8c9e-2bbaa192378b · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Buˇ ca and T
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 955c5cf8-334e-4e7d-a9f2-7ed195a95029 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1380b03e-96c1-4817-88aa-bc39e63b5308 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f643dfb-11a1-4c26-8dcc-c84373d5307a · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Moharramipour, L
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 639a6c4a-e008-4540-94a8-e6a43b9eb592 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2bc5a3f-4ad7-4f34-9239-3092b485b555 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Read and H
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 57b36598-701f-425b-9a93-2f3b47ddfcd2 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6cabac07-b47f-44a7-864e-2fe749828d64 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a3953ffc-395f-467e-9d43-981b7ffe184e · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85deb597-5112-4f34-a6d2-113b42fb2c64 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Chitambar, D
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 274427c7-44a7-408a-8699-31a7122d1e02 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7de34eb9-bb19-4d83-b505-a669e81e3458 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Peres, Separability criterion for density matrices, Phys- ical Review Letters 77, 1413–1415 (1996)
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f43c7dc6-012f-48ba-a2e1-8e90ab029753 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Horodecki, P
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c0a03ab3-b967-47f5-a894-dcf593b25c64 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2027fb9d-71da-47bd-b2db-c9a0cd61596d · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 68986afb-cdf7-4284-a721-878f810cea31 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1d086e29-ff8c-4285-b2b1-6772ddaa4b7b · outbound
Entanglement cost hierarchies in quantum fragmented mixed states The asymptotic entanglement cost of preparing a quantum state
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d84cec4-4bb4-47c6-9a4d-da0642c28733 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Horodecki, P
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 90ba3ac1-03b7-4679-adcb-25586ce4afbf · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Huang, Computing quantum discord is np-complete, New Journal of Physics 16, 033027 (2014)
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f9e45bb5-bf35-4bbc-aea0-7d7a647bde62 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b18dad0c-4084-4bc0-86d4-1968ef18aecc · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Zanardi, Stabilizing quantum information, Phys
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 35a23712-961b-4d97-b921-c749190760bb · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0aebe34-b821-4a56-9784-45d930d27d23 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3aa1549d-40eb-4c5d-8c59-80a775a2cd9f · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Kassel, Quantum Groups, Graduate Texts in Mathe- matics (Springer New York, 2012)
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 27bd11ea-0a94-48b6-b823-dcca5c5a1405 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Aufgebauer and A
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0b6c0f8c-94fb-495d-b2a2-77bbfd5207e4 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Moudgalya and O
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e5d9560-f7d8-493d-bda0-712227d46156 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states A11,R ∞ aϵ √ L/2 pλdλ ≈ (2aϵe−a2 ϵ + √πErfc(aϵ))/√π, which can be made as small as necessary by choosing large enough aϵ
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2038da31-f6c2-4034-af45-8483e334df73 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c82357b-b349-4326-b082-8341eb062940 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Brighi, M
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c21d8ce7-cfbb-4106-89e1-dd8c05a137ee · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e7f44c7b-8c01-48b4-8951-4915e29d663d · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Mukherjee, D
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7c656b32-4c8d-465a-9f7e-592dfc28a258 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Classen-Howes, P
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 33402262-9481-4794-af92-d0392d981c7f · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 38da6140-c6ce-4a91-9204-3aba1a8d78a0 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Mori and B
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f01fa747-dbe6-4d34-9ae8-9e3432f35838 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3e280dbe-4520-41b7-8966-eac5abfec643 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9183da2e-0055-49d7-9126-ac270822678d · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Entanglement of zero angular momentum mixtures and black hole entropy
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 128d2ab2-3a7c-41cc-9554-ac1f829e876f · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b280c813-6bfb-4beb-8a7a-0c20a3360a7c · outbound
Entanglement cost hierarchies in quantum fragmented mixed states (6), and also shown in [ 15, 16]
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c0b956f0-356f-4255-8ff9-5c9be04bb381 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 91301ae3-e0f1-48ad-9503-eb04abfdd4c7 · outbound
Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c1e06263-437a-47ed-9614-27918a04804e · inbound
Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations Entanglement cost hierarchies in quantum fragmented mixed states
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b54192f2-61f7-4bb1-9da7-819589f0866c · inbound
Enhancing entanglement asymmetry in fragmented quantum systems Entanglement cost hierarchies in quantum fragmented mixed states
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.