Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T20:46:40.268892Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2501.07775.
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 2026-08-10T20:46:40.268892Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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
51 of 51 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c8ff8c15-7f39-49ef-8cd5-1236c05e63ea · outbound
Quantifying the imaginarity via different distance measures tr h ε(ρ) 1 2 ε(ρ)− 1 2 ε(σ∗)ε(ρ)− 1 2 1−α ε(ρ) 1 2 i# 1 α − 1 ) ≥ min σ∈F 1 α − 1 (
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3cc1ac26-c409-4a44-8c3f-a97b4b225d93 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0636ab76-7a1d-4194-a328-10eb37bde279 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e5fd2446-5703-4d1a-810a-c1db3f3af8bc · outbound
Quantifying the imaginarity via different distance measures It is important to note that if ρ is a pure state, then x2 + y2 = 1
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation bbb413f0-2969-4524-8d73-3bb439ab5ecf · outbound
Quantifying the imaginarity via different distance measures 6 Based on the analysis above, we observe thatMT,α, MS,α, and MO,α exhibit the same monotonicity for single-qubit states
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5200f720-c3ae-46f3-878e-877d463c436a · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2a309885-4961-4a36-a331-5921a398efe4 · outbound
Quantifying the imaginarity via different distance measures Hardy, W
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6c51a4fb-c644-409b-bf34-016078eb3368 · outbound
Quantifying the imaginarity via different distance measures Aleksandrova, V
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d6720473-3ccc-4f72-85c1-3935e80ff636 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 48a7d700-bd4b-46d8-8446-1be8f8649ad8 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation df1d99e1-a372-44e4-bc6f-c95fade32572 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4031fddc-c3c7-4ae9-9f3b-312d5df6ae54 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4fd3df20-b802-4d71-a483-f4a338b92ad4 · outbound
Quantifying the imaginarity via different distance measures Horodecki, P
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ff9890a-d1bd-4dc1-a03b-872a21d6bb5b · outbound
Quantifying the imaginarity via different distance measures Baumgratz, M
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c4087fe-aafe-4113-9237-cd7ef8d39805 · outbound
Quantifying the imaginarity via different distance measures Chitambar and G
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 67821447-13bc-46b1-8a33-f63777605271 · outbound
Quantifying the imaginarity via different distance measures Marvian and R
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4ab6bb65-bf79-47a2-bc52-20aea758995d · outbound
Quantifying the imaginarity via different distance measures Chitambar and M
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2fcce699-54d3-4c94-9b0f-214ae671d18d · outbound
Quantifying the imaginarity via different distance measures Winter and D
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3245d89-6e54-4470-a1be-fbf9a3e2aeb7 · outbound
Quantifying the imaginarity via different distance measures Napoli, T
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 774b2507-f6fa-490a-b5da-04a1ff14047f · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f75501e1-ae80-4985-891f-6f087516b964 · outbound
Quantifying the imaginarity via different distance measures Horodecki and J
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8864b5d-5faa-4bdd-84ae-adc1ba38c969 · outbound
Quantifying the imaginarity via different distance measures Lostaglio, D
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7158b06b-9c36-41ba-a584-ddbdc13d22ec · outbound
Quantifying the imaginarity via different distance measures The resource theory of informational nonequilibrium in thermodynamics
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1ebcf3ea-6a32-43c4-818f-b1e6d53d1954 · outbound
Quantifying the imaginarity via different distance measures Narasimhachar and G
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e677ac99-d8d6-4dc7-84d5-66f6f7e20100 · outbound
Quantifying the imaginarity via different distance measures Gour and R
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e86c5ea5-26a2-4720-9ac6-014fa636d577 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation be548a85-66a7-47e7-bca8-28606a23ef5b · outbound
Quantifying the imaginarity via different distance measures Skotiniotis and G
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 321df496-b2ff-4b6c-8114-f647438c93a7 · outbound
Quantifying the imaginarity via different distance measures Marvian and R
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d7d6c041-e0a6-4f41-af96-172149b7ae1d · outbound
Quantifying the imaginarity via different distance measures Resource theories of knowledge
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b06569ce-8857-48a0-9082-31d291d32a9d · outbound
Quantifying the imaginarity via different distance measures Veitch, S
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 54a91cdd-4c2d-4500-a265-dbdef83eaa6d · outbound
Quantifying the imaginarity via different distance measures Howard and E
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3e6604f0-f60a-416a-bc61-2d4ccb4a70d5 · outbound
Quantifying the imaginarity via different distance measures Quantification and manipulation of magic states
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e619ab48-b79a-4950-aa25-9e3933f00c24 · outbound
Quantifying the imaginarity via different distance measures A resource theory of superposition
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 11fec3fe-d068-46c8-a4ae-046edf15c995 · outbound
Quantifying the imaginarity via different distance measures Gallego and L
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 46c2c59a-0e7a-4bb0-9f72-6df631dcf78d · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e8c79347-7b01-4377-8d8d-513ba37ace1c · outbound
Quantifying the imaginarity via different distance measures Noncontextual wirings
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9800eb9f-400e-4b22-a705-a66cb5914398 · outbound
Quantifying the imaginarity via different distance measures Hickey and G
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9f2e1d8f-036b-4430-a99e-46a29bd1700d · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1b1c2d80-04c2-4d47-8ea3-090482b0aa6d · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b2f84340-da23-43d6-976f-a399caa4a2f1 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b33cf930-5b4a-482a-9d3c-405cc9b0250c · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 448e1d5d-7c9e-4f91-bf65-da7310f30232 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8c72f8b0-aebe-4f9b-a11e-51c7c9798961 · outbound
Quantifying the imaginarity via different distance measures Borland, A
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2de6a43e-a1e7-4a9d-b060-1023b9f8ccb4 · outbound
Quantifying the imaginarity via different distance measures Furuichi, K
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c5afb60b-4040-4a93-a8e9-6fae8c86461d · outbound
Quantifying the imaginarity via different distance measures Abe, Phys
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 29653d8a-9ac8-476d-8f39-9e76faa63007 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e13bcf23-fcc5-463c-b78f-378b544f7f64 · outbound
Quantifying the imaginarity via different distance measures M ¨uller-Lennert, F
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d01f1b8c-2635-4811-8975-7b4328a030b8 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation cc578a64-e1b0-4eff-8f7a-af2397859e62 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 44d4fa6c-774f-4e04-b428-1b5c9d0f1c81 · outbound
Quantifying the imaginarity via different distance measures Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 24b538b4-5dbd-45ee-9344-1d958ecec6b2 · outbound
Quantifying the imaginarity via different distance measures L.Guo, Z
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
No inbound Pith citation observations are available.