Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:32:48.426351Z
Paper Citation Record · LEDGER
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension
As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.08836.
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 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
40 of 40 outbound references displayed
- verified exact5
- verified fuzzy16
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b81065ab-e562-424a-82c5-f0c29ffcfcae · outbound
This paper cites Peres, Separability criterion for density matrices, Phys.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Peres, Separability criterion for density matrices, Phys
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:48.242561Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 449d8faa-38c8-4dd3-808f-3f6de1daa959 · outbound
This paper cites Horodecki, P.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Horodecki, P
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:48.253186Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 592640e6-5f68-46b6-a3e7-04fea338dd7b · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.946612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8d02a416-699f-4be2-823c-1c87d0fdfc94 · outbound
This paper cites Clarisse, The distillability problem revisited, Quantum Inf.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Clarisse, The distillability problem revisited, Quantum Inf
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.931538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f8fde53b-3571-4cd3-bd6c-5896ad95e482 · outbound
This paper cites Horodecki, P.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Horodecki, P
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:48.266273Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ab26abb-24a8-4826-9d16-9bc1565d4115 · outbound
This paper cites Horodecki, L.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Horodecki, L
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.902385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea1a2340-3dc9-4f8a-8f01-0b2c7fd59078 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.889704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 93e4b8c7-1913-46bf-bbb6-6e4b10a337e0 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.877918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4913693c-e8fb-4287-8591-5089322daa6f · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.862326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1646d8bf-05fd-48ad-b28d-239216b82bc2 · outbound
This paper cites Pankowski, M.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Pankowski, M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.847298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ad53604b-e629-4868-8e64-c4950639dde6 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.833826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fc453bbf-3eac-41b8-8b73-3020605c14b7 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.814702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3fc58e40-f59f-4e14-b2e1-985028742257 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.801609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3235718f-3533-4e7f-a372-f50da26746d0 · outbound
This paper cites Costa Rico, New partial trace inequalities and distilla- bility of werner states, Letters in Mathematical Physics 115, 47 (2025).
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Costa Rico, New partial trace inequalities and distilla- bility of werner states, Letters in Mathematical Physics 115, 47 (2025)
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.789739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d1397ddb-4816-48c2-bc9f-29f1473ac014 · outbound
This paper cites Partial trace relations beyond normal matrices.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Partial trace relations beyond normal matrices
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:48.304245Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9c6ef24-32a4-45c3-8e58-00d80f080eee · outbound
This paper cites A solution to 2-copy distillability of Werner states.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension A solution to 2-copy distillability of Werner states
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:48.528557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f12b6994-e6f8-4a92-bd2f-92bdc15fb0dc · outbound
This paper cites A partial-trace matrix inequality and Werner-state distillability.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension A partial-trace matrix inequality and Werner-state distillability
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:48.510759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5f2fbc47-1669-417d-a74a-d57fcf340ace · outbound
This paper cites On the two-copy distillability of Werner states and a new partial trace inequality.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension On the two-copy distillability of Werner states and a new partial trace inequality
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:48.496076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d03cc223-3f34-459f-a5b3-5405437187d4 · outbound
This paper cites Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:48.481350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7f387055-2a13-46f7-a252-4ace853b62f2 · outbound
This paper cites Sharp Plucker Geometry for Three-Copy Werner Distillation.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Sharp Plucker Geometry for Three-Copy Werner Distillation
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:48.464884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e596be06-93bc-47ce-a6b8-9802d5597c59 · outbound
This paper cites Horodecki, P.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Horodecki, P
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.775714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f9df694e-e0ed-4c45-8c03-da1889ee18b9 · outbound
This paper cites Horodecki and P.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Horodecki and P
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:48.351676Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2b99d7d-6015-430e-90b2-0e94d0f46c38 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.754021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 52fd6a7d-b1fc-4845-9e51-138187f0feb0 · outbound
This paper cites Li, X.-X.
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.740823Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 345e8701-efaa-425d-b401-1a0809c550cd · outbound
This paper cites Horodecki, P.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Horodecki, P
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:48.363476Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e34e1ef3-3b50-49b1-9a04-d3d6f26dec11 · outbound
This paper cites Verstraete and H.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Verstraete and H
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.719677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 32965e96-96a2-4568-ae56-be6b937d12d1 · outbound
This paper cites With this convention, the Schmidt rank of |Ψ⟩equals the matrix rank ofM, and normalization is equivalent to∥M∥F = 1.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension With this convention, the Schmidt rank of |Ψ⟩equals the matrix rank ofM, and normalization is equivalent to∥M∥F = 1
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.707778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9df213ff-00aa-4ee8-a12e-934d5244966d · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.695818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 320f2c81-affd-4d76-abcd-a74391413dc5 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.684128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 76d3340e-1e24-4697-8a4b-954d700b12f0 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.673853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f2a15827-a7fc-4093-a563-42b446abe023 · outbound
This paper cites The all-dimensional expectation formula gives ⟨Ψ3| ρΓ C,3 ⊗2 |Ψ3⟩=− 1 882 <0.(B18) The filters below implement precisely these symmetric and antisymmetric frame modes.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension The all-dimensional expectation formula gives ⟨Ψ3| ρΓ C,3 ⊗2 |Ψ3⟩=− 1 882 <0.(B18) The filters below implement precisely these symmetric and antisymmetric frame modes
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.662473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 999b1e59-d6d0-4c07-b862-5c6714645ca1 · outbound
This paper cites In particular, their rows are orthonormal, so they define valid stochastic local filters.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension In particular, their rows are orthonormal, so they define valid stochastic local filters
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.650090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 14b0273a-a9b5-49ae-92c7-4b4d948510bc · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.634472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 403b3f72-9a5f-424a-991e-15b1e38e0322 · outbound
This paper cites (C4) gives w(d) CB (t) = d−2 8d2(d−1) 2(3d−2) 2 h (d−2)(3d−4)t 2 + 6(d−1)(d+ 2)t−8(d−1) i.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension (C4) gives w(d) CB (t) = d−2 8d2(d−1) 2(3d−2) 2 h (d−2)(3d−4)t 2 + 6(d−1)(d+ 2)t−8(d−1) i
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.622979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b53c0c47-9852-43d6-9a92-20ced1f8572e · outbound
This paper cites (C19) 15 The first factor is strictly positive on0≤t≤1.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension (C19) 15 The first factor is strictly positive on0≤t≤1
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.611687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c9601d99-30b4-472a-8346-4751a20e9359 · outbound
This paper cites an unresolved cited work.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T04:32:48.599720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation eba67006-bd2c-4725-937c-335ff12eab7e · outbound
This paper cites Hence |Ξ3⟩= 1√ 2 (|y⟩A |y⟩B − |x⟩A |x⟩B)(D4) is normalized and has Schmidt rank exactly two across(A1A2A3) : (B1B2B3).
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Hence |Ξ3⟩= 1√ 2 (|y⟩A |y⟩B − |x⟩A |x⟩B)(D4) is normalized and has Schmidt rank exactly two across(A1A2A3) : (B1B2B3)
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.589369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5069d85b-4c77-4dd3-9e98-010871e8e510 · outbound
This paper cites Form≥3, introduce the real two-column frame f (m) ℓ1 = 1√m cos 2πℓ m , f (m) ℓ2 = 1√m sin 2πℓ m ,(D6) whereℓ= 0,.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension Form≥3, introduce the real two-column frame f (m) ℓ1 = 1√m cos 2πℓ m , f (m) ℓ2 = 1√m sin 2πℓ m ,(D6) whereℓ= 0,
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.578891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e813f2f3-533e-4489-8d27-497966dab631 · outbound
This paper cites (D4), direct evaluation gives w(3) Ξ,3(b, c) :=⟨Ξ3| ρΓ b,c ⊗3 |Ξ3⟩ =− 1 324 27b3 + 243b2c−81b 2 + 405bc2 −270bc+ 36b−27c 3 −81c 2 + 36c−4.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension (D4), direct evaluation gives w(3) Ξ,3(b, c) :=⟨Ξ3| ρΓ b,c ⊗3 |Ξ3⟩ =− 1 324 27b3 + 243b2c−81b 2 + 405bc2 −270bc+ 36b−27c 3 −81c 2 + 36c−4
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.567004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0cf61bc2-6078-494b-8c31-c9cbd08832e8 · outbound
This paper cites (D1) over the three copies and using the disjoint line supports together with Eq.
Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension (D1) over the three copies and using the disjoint line supports together with Eq
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:48.554798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.