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Paper Citation Record · LEDGER

Entanglement cost hierarchies in quantum fragmented mixed states

As of 20 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.

pith.paper-citation-record.v1
2506.04637 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:54.033448Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:56:05.786208Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-15T16:36:17.672583Z

Reference resolution

57 of 57 outbound references displayed

  • verified exact3
  • verified fuzzy19
  • unresolved34
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f05c2454-8b5f-4c69-9499-7c30bb3a6410 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.941619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.805049Z digest=sha256:89b16a73878dfe4cbe916f1b873089c5cb8052e020dabcec1c8cf54562e2e2f7

Observation d040e00b-ed36-4fd5-888e-f13b2cd72293 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.926168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.809693Z digest=sha256:d10409a9d83bf33ae524da85d06bf925028f39580eb0098ac00e1b9ab9289dc7

Observation 75cd8140-b85e-4dd7-a0c2-0958ea2943a2 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.913700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.813756Z digest=sha256:ca09839fcaa5c892acd08a91c15e20d84cc78fda349ad250e44d3984c3705c5c

Observation 2c1dba39-8f0a-42a5-8c8e-76050886794a · outbound

This paper cites |ρTA |TA ≥ 0.

Entanglement cost hierarchies in quantum fragmented mixed states |ρTA |TA ≥ 0

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.900804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.817905Z digest=sha256:6750132e8829e632f8360fc20964938169dcfdca50db73c60071a15217d81e49

Observation a3dadc73-1d1b-4381-a4f6-f14addf99d81 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.887782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.821838Z digest=sha256:b3a20f3a980d474fcb22fbb304628893933375f981374c7ca6f44a891ddc4309

Observation 98a786f0-9244-47f9-9d36-7a6ee7f15cb5 · outbound

This paper cites (11) The proofs of the proposition and the theorem are elementary and provided in appendices A 2 and A 3.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.874720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.825773Z digest=sha256:21af24b13f9c0dd3646f20d29ca60f8dbdd7106dcdf9503baac4a0ca2b3c340c

Observation 729c9db3-6f5c-4269-8b9d-767115414f15 · outbound

This paper cites Quantum entanglement.

Entanglement cost hierarchies in quantum fragmented mixed states Quantum entanglement

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.830401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.830401Z digest=sha256:4ded446b0f8eb3489117de05524a7957961766806fef47c41a929255a22ffe60

Observation e63d350e-8868-4e5c-9f10-3da734b22c0f · outbound

This paper cites Preskill, Quantum computing in the nisq era and be- yond, Quantum 2, 79 (2018).

Entanglement cost hierarchies in quantum fragmented mixed states Preskill, Quantum computing in the nisq era and be- yond, Quantum 2, 79 (2018)

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.838603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.838603Z digest=sha256:f45457e497cba89a832cc0180e3d8074dd0f6fad492b15f4b8ad86fed98d02e5

Observation 1aec5bac-14b4-4e12-b3fe-ad73a1b7805a · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.852522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.842458Z digest=sha256:1c0c88cfad82b9eaf93d1e1f0d1e3d420ed9dda5fb184123281b3cce3bb15ff2

Observation e54c5c9b-19ee-4654-8218-b7aaf0757cdf · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.846358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.846358Z digest=sha256:f66a83f3b95145ba2fed60c29ba1f719a05c93bf30e050e6b5dc28948a3b0855

Observation c4b2ff74-aaf7-49b5-bc7f-e94fbccef3de · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.850785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.850785Z digest=sha256:d2811930549c28258a14f41e98c949d6e36dc4f90c86614eeb061107ed08d0df

Observation deaa0e1b-5792-470c-92a8-5be2663560c6 · outbound

This paper cites A computable measure of entanglement.

Entanglement cost hierarchies in quantum fragmented mixed states A computable measure of entanglement

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.855064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.855064Z digest=sha256:2fd67db745d33f50cee12712ea845b821aa97b6a702920ee183457ddf5bad1ca

Observation e4780abb-9a5c-4194-ac58-52a08872e6fd · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.859334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.859334Z digest=sha256:d9b6e6c98e99ea3210afdfa1dfa33043239326196537bc2659dbcaa568d36872

Observation 746eeae5-8ce5-4e13-b386-e555ab0ac7c3 · outbound

This paper cites Tserkis and T.

Entanglement cost hierarchies in quantum fragmented mixed states Tserkis and T

Reference 15

Resolution
verified exact
doi, observed 2026-08-07T10:52:54.089111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.863194Z digest=sha256:006d89e948718b8684b39090843f24526b8b8e5b758c58b4c30e96cb9b5b5b71

Observation 57cf1cf1-91f5-4264-83b2-4800ee71e422 · outbound

This paper cites Audenaert, M.

Entanglement cost hierarchies in quantum fragmented mixed states Audenaert, M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.807499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.870763Z digest=sha256:64d7435ff317fc2a225bc0802e0963c2d355295ae738fc867fae76ff929d1c02

Observation 083fc310-5d81-461f-a9ad-49bf07b7482c · outbound

This paper cites squashed entanglement.

Entanglement cost hierarchies in quantum fragmented mixed states squashed entanglement

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.793723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.874431Z digest=sha256:80a28b9ba85e56e2fa64b5b3c66458ef80cae395036db679d59f1bcb52382578

Observation edee79d9-31ab-4089-8c9e-2bbaa192378b · outbound

This paper cites Buˇ ca and T.

Entanglement cost hierarchies in quantum fragmented mixed states Buˇ ca and T

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.878246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.878246Z digest=sha256:ea0ea1f7f25426217a0ecd5590cb86f699f2c2f52c2e46c42ae2bf86bdcc5fc6

Observation 955c5cf8-334e-4e7d-a9f2-7ed195a95029 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.881878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.881878Z digest=sha256:00a552fdeee3a352ffa1eeb3a9e650e3503cecf0e8c9314b5e381aa86d95dcba

Observation 1380b03e-96c1-4817-88aa-bc39e63b5308 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.885722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.885722Z digest=sha256:5166be62f1751dd5ce23be7a06dbe91723296b3133923303317188d83f5e8c43

Observation 7f643dfb-11a1-4c26-8dcc-c84373d5307a · outbound

This paper cites Moharramipour, L.

Entanglement cost hierarchies in quantum fragmented mixed states Moharramipour, L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.762299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.889527Z digest=sha256:aa4a3d294c004ee227dd0bca43a74af18e966872f5c7dbb5b7ccd018cabb64b1

Observation 639a6c4a-e008-4540-94a8-e6a43b9eb592 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.893053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.893053Z digest=sha256:11357834e95c5a46e1aa5f673f12a196dc4f76d467abc62bf21b65330302df1e

Observation b2bc5a3f-4ad7-4f34-9239-3092b485b555 · outbound

This paper cites Read and H.

Entanglement cost hierarchies in quantum fragmented mixed states Read and H

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.740210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.896801Z digest=sha256:23f0350c1c5cc316e66807f22b180a44574da9e3651869fa561b1c9d60803693

Observation 57b36598-701f-425b-9a93-2f3b47ddfcd2 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.717648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.904579Z digest=sha256:b35ff5a542f9ebdb9d7834083515d3a554b208942ed4072582641e75f49ecaaa

Observation 6cabac07-b47f-44a7-864e-2fe749828d64 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.704173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.908694Z digest=sha256:39d6ba4e2c721f4c306333ad7a10d54888e048e75aa0d606a2b825338473e313

Observation a3953ffc-395f-467e-9d43-981b7ffe184e · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.912815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.912815Z digest=sha256:bb473b33728724f764596463ebaec8aa131aef1e476f2c3e7fdb3731809b048c

Observation 85deb597-5112-4f34-a6d2-113b42fb2c64 · outbound

This paper cites Chitambar, D.

Entanglement cost hierarchies in quantum fragmented mixed states Chitambar, D

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.680760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.916713Z digest=sha256:31695d5f8d332631bc5956a9dfadb883877d145b5500e37cdba9bd5121e5014d

Observation 274427c7-44a7-408a-8699-31a7122d1e02 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.667348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.920426Z digest=sha256:3c164cbbc2127f8c9661ca6b8700f2fae1e2287570b94da23eea2116151a50f4

Observation 7de34eb9-bb19-4d83-b505-a669e81e3458 · outbound

This paper cites Peres, Separability criterion for density matrices, Phys- ical Review Letters 77, 1413–1415 (1996).

Entanglement cost hierarchies in quantum fragmented mixed states Peres, Separability criterion for density matrices, Phys- ical Review Letters 77, 1413–1415 (1996)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.653811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.924222Z digest=sha256:b4a51c8c2ef13f0fba958c693ef0ec8dcb07b29d8f8a23fa860b9e7d5a5af26a

Observation f43c7dc6-012f-48ba-a2e1-8e90ab029753 · outbound

This paper cites Horodecki, P.

Entanglement cost hierarchies in quantum fragmented mixed states Horodecki, P

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.639916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.927734Z digest=sha256:9c91afed0d949afde314350959790819f4501e2690820b5518227ac6e293efaf

Observation c0a03ab3-b967-47f5-a894-dcf593b25c64 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.625502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.931372Z digest=sha256:3c0bbdf53347d528abc3e07080233f4aa324b81964800bef34963d95d66dc50e

Observation 2027fb9d-71da-47bd-b2db-c9a0cd61596d · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.821006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.934997Z digest=sha256:525bc8cafc1cbdb169033c75b2bbfb7e906f1d5da39dfc24a69afa723353264a

Observation 68986afb-cdf7-4284-a721-878f810cea31 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.611153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.938641Z digest=sha256:a5c6dd815e0bd5f95f078ca39ad0dfc4c589156cd4958dc48ce23c3df318e427

Observation 1d086e29-ff8c-4285-b2b1-6772ddaa4b7b · outbound

This paper cites The asymptotic entanglement cost of preparing a quantum state.

Entanglement cost hierarchies in quantum fragmented mixed states The asymptotic entanglement cost of preparing a quantum state

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.942387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.942387Z digest=sha256:815f5a0e6a8fd3076fc68da8b1a0b982dc3553c7b6911ace1faa9ae8491ed150

Observation 0d84cec4-4bb4-47c6-9a4d-da0642c28733 · outbound

This paper cites Horodecki, P.

Entanglement cost hierarchies in quantum fragmented mixed states Horodecki, P

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.597948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.946233Z digest=sha256:1ba16afaf966668918de775aa89228ac692b9d58614888f8034216b8e7e2d3da

Observation 90ba3ac1-03b7-4679-adcb-25586ce4afbf · outbound

This paper cites Huang, Computing quantum discord is np-complete, New Journal of Physics 16, 033027 (2014).

Entanglement cost hierarchies in quantum fragmented mixed states Huang, Computing quantum discord is np-complete, New Journal of Physics 16, 033027 (2014)

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.584313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.949811Z digest=sha256:e21cc8921c99cf4f180b5302ceced0213baadf1eb0561b247eddc5cbd8443576

Observation f9e45bb5-bf35-4bbc-aea0-7d7a647bde62 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.571135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.953399Z digest=sha256:0dd809b08521b53a482d29d9a85231e72c75a94d0df949487c5e9488ed819836

Observation b18dad0c-4084-4bc0-86d4-1968ef18aecc · outbound

This paper cites Zanardi, Stabilizing quantum information, Phys.

Entanglement cost hierarchies in quantum fragmented mixed states Zanardi, Stabilizing quantum information, Phys

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.557830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.957079Z digest=sha256:d6b21fdba2dfb6bc68e73318cf2acba96862b77fbb6b2fa75853bf1193b80e40

Observation 35a23712-961b-4d97-b921-c749190760bb · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.960826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.960826Z digest=sha256:df2b1cc0d03231cd03a81efb7485bbdb517c31fcf5ed1e242582a3cdc1475a02

Observation a0aebe34-b821-4a56-9784-45d930d27d23 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 42

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:52:54.311233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.964641Z digest=sha256:3849ccf4fe5346e396a3aa366726d2797e7a6dab38f0fb544abcd4ac81c09037

Observation 3aa1549d-40eb-4c5d-8c59-80a775a2cd9f · outbound

This paper cites Kassel, Quantum Groups, Graduate Texts in Mathe- matics (Springer New York, 2012).

Entanglement cost hierarchies in quantum fragmented mixed states Kassel, Quantum Groups, Graduate Texts in Mathe- matics (Springer New York, 2012)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.534218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.968605Z digest=sha256:925313085506c3bb2d2eda43e3fd3831be2262876a7b0de8688819deb9a23e78

Observation 27bd11ea-0a94-48b6-b823-dcca5c5a1405 · outbound

This paper cites Aufgebauer and A.

Entanglement cost hierarchies in quantum fragmented mixed states Aufgebauer and A

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.521451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.972731Z digest=sha256:cd3f85f3b4ff0142f42cbeb0cfaa4aab914a7fb5446556d3d3d6073a4685b398

Observation 0b6c0f8c-94fb-495d-b2a2-77bbfd5207e4 · outbound

This paper cites Moudgalya and O.

Entanglement cost hierarchies in quantum fragmented mixed states Moudgalya and O

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.976570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.976570Z digest=sha256:4a64e62dde1dfc55eea1281f2863a91eb59b01f7959a135baea26ff854409f46

Observation 4e5d9560-f7d8-493d-bda0-712227d46156 · outbound

This paper cites 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.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.509331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.980103Z digest=sha256:89cd2c385b214c45b6efba1b52fe93ee7a6bb6d52a47744e31d145fce9836b53

Observation 2038da31-f6c2-4034-af45-8483e334df73 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:53.983617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:53.983617Z digest=sha256:faa6384ef8e59a0ee4d78d5fb388451e0d7d4b305c0e063d4448b71392d40a89

Observation 2c82357b-b349-4326-b082-8341eb062940 · outbound

This paper cites Brighi, M.

Entanglement cost hierarchies in quantum fragmented mixed states Brighi, M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.496085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.987519Z digest=sha256:0e5182f4eba1f4f599f54d6f7ae86446e92524f6ee1c87339413e8d8387373c4

Observation c21d8ce7-cfbb-4106-89e1-dd8c05a137ee · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.482082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.991064Z digest=sha256:050849bb43ef535682d3df7ec91b0c2f0c29ce6de01e0141758da060ea37b8b1

Observation e7f44c7b-8c01-48b4-8951-4915e29d663d · outbound

This paper cites Mukherjee, D.

Entanglement cost hierarchies in quantum fragmented mixed states Mukherjee, D

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.468838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.994507Z digest=sha256:f8b20435ec583d19218c5ae8af945fcbb7dba26ac39653cee2c72627314ff468

Observation 7c656b32-4c8d-465a-9f7e-592dfc28a258 · outbound

This paper cites Classen-Howes, P.

Entanglement cost hierarchies in quantum fragmented mixed states Classen-Howes, P

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.454799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:53.998277Z digest=sha256:861a06561ab54fbce1c5180c4c9f7236d36aef8e930552018dbaacd06bc0eae7

Observation 33402262-9481-4794-af92-d0392d981c7f · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 52

Resolution
malformed identifier
no resolver link, observed 2026-08-07T10:52:54.002502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:54.002502Z digest=sha256:ae56c585cb893ab644b8bc662b20ce76de5a66564c4ca1029f7a4dc3540fc3d7

Observation 38da6140-c6ce-4a91-9204-3aba1a8d78a0 · outbound

This paper cites Mori and B.

Entanglement cost hierarchies in quantum fragmented mixed states Mori and B

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:54.006238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:54.006238Z digest=sha256:fa9afc3cbd6ae7e6c9eb1d639eb24099eb93c61b0f030ef90e79f6e5ec0fdc43

Observation f01fa747-dbe6-4d34-9ae8-9e3432f35838 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.440218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.010308Z digest=sha256:9b9ee3fea63da824ad9db6110ad9f74f967beae0cdf43674b8c37ce38789e579

Observation 3e280dbe-4520-41b7-8966-eac5abfec643 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.425970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.014085Z digest=sha256:e4897bbc12cb867a3424dc192b7ec2356f35c29070f856c5052965801f371c84

Observation 9183da2e-0055-49d7-9126-ac270822678d · outbound

This paper cites Entanglement of zero angular momentum mixtures and black hole entropy.

Entanglement cost hierarchies in quantum fragmented mixed states Entanglement of zero angular momentum mixtures and black hole entropy

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:52:54.128573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.017686Z digest=sha256:c5f686e9aa388ba18e9b45aa817678354e1534e49d406e476dc16bf89a9eb5cd

Observation 128d2ab2-3a7c-41cc-9554-ac1f829e876f · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.412635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.021631Z digest=sha256:4a8811483944c8700d64bc1b56d517f0a0bd12525bfb785f159f990ee9753ba7

Observation b280c813-6bfb-4beb-8a7a-0c20a3360a7c · outbound

This paper cites (6), and also shown in [ 15, 16].

Entanglement cost hierarchies in quantum fragmented mixed states (6), and also shown in [ 15, 16]

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:54.399533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.025600Z digest=sha256:a7fc37b98f3da2b8bdbe69198d2282339cbe022405fa12e126fe501e7b08e920

Observation c0b956f0-356f-4255-8ff9-5c9be04bb381 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.386111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.029390Z digest=sha256:f033c5f082cd13345aebceb8b6cf5afb999935e06693b6d7f614b2df3d845bf8

Observation 91301ae3-e0f1-48ad-9503-eb04abfdd4c7 · outbound

This paper cites an unresolved cited work.

Entanglement cost hierarchies in quantum fragmented mixed states Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:54.372104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T10:52:54.033448Z digest=sha256:35bc2302673bd6a4e8124fb0adf0ed1439fccefbbde312fef2f614f13421944e

Pith citing papers

Observation c1e06263-437a-47ed-9614-27918a04804e · inbound

Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations cites this paper.

Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations Entanglement cost hierarchies in quantum fragmented mixed states

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-04T18:56:05.786208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:56:05.786208Z digest=sha256:6e1d224b37f1e49da2cbdc6a3232b47ec3c2a81fa88947e63557b00e1fdeb316

Observation b54192f2-61f7-4bb1-9da7-819589f0866c · inbound

Enhancing entanglement asymmetry in fragmented quantum systems cites this paper.

Enhancing entanglement asymmetry in fragmented quantum systems Entanglement cost hierarchies in quantum fragmented mixed states

Reference 52

Resolution
verified exact
arxiv_id, observed 2026-08-10T01:09:05.694888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-15T16:33:31.651631Z digest=sha256:e57d5fe5fbadbb0958343767034399be57019033c6449b00ffa89675e132a18c