Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-07T06:36:39.959797Z
Paper Citation Record · LEDGER
Geometric complexity in thermodynamics
As of 5 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2604.27858.
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 2026-08-05T06:32:48.257954+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
64 of 64 outbound references displayed
- verified exact2
- verified fuzzy45
- unresolved16
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7c7c13f5-16c5-4f9c-b049-70f2105e94c7 · outbound
This paper cites Nernst, Ueber die Berechnung chemischer Gle- ichgewichte aus thermischen Messungen, Nachr.
Geometric complexity in thermodynamics Nernst, Ueber die Berechnung chemischer Gle- ichgewichte aus thermischen Messungen, Nachr
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.453742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f591fc99-79be-484a-8d9e-7b37f3990b1d · outbound
This paper cites Di Franco and M.
Geometric complexity in thermodynamics Di Franco and M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.444639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 31ba5e60-8a4b-4041-aaea-dff5e72ae73a · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.447525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c7b1782f-12dd-498a-802a-3e7b68539e2a · outbound
This paper cites Ticozzi and L.
Geometric complexity in thermodynamics Ticozzi and L
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.450632Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fed20ecf-3438-43b1-a231-7140393e7166 · outbound
This paper cites Freitas, R.
Geometric complexity in thermodynamics Freitas, R
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.369619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6fc14168-8432-4866-a87b-37e78da58405 · outbound
This paper cites Landauer, Irreversibility and heat generation in the computing process, IBM J.
Geometric complexity in thermodynamics Landauer, Irreversibility and heat generation in the computing process, IBM J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.376263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 74c3da76-b2a3-412f-ada8-9e38a330869e · outbound
This paper cites B´ erut, A.
Geometric complexity in thermodynamics B´ erut, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.365948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c02e5eb4-4f7a-4542-930d-f34394ac3dc2 · outbound
This paper cites Goold, M.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.355177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 03d22f44-3c25-439f-9c89-8f5eb1968b0b · outbound
This paper cites Proesmans, J.
Geometric complexity in thermodynamics Proesmans, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.348327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 960541ba-cdd5-40f5-8cab-b74da9c82d60 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.351569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f8a15f25-6b6a-438e-8f7d-71fc2973eedb · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.362618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 63267e70-b002-408c-85ee-d958c892215c · outbound
This paper cites Van Vu and K.
Geometric complexity in thermodynamics Van Vu and K
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.345149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fd8384b1-c53b-4a4b-89da-27bce4e21df2 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.336326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 30573235-cd09-48c8-b0ac-f9cac3ec2164 · outbound
This paper cites Scandi, D.
Geometric complexity in thermodynamics Scandi, D
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.339119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a245c98d-3552-4b4f-be90-d86bf12f0421 · outbound
This paper cites Van Vu and K.
Geometric complexity in thermodynamics Van Vu and K
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.342120Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 295c00c1-ed97-44f3-a507-9a3a08d5c699 · outbound
This paper cites Rolandi, P.
Geometric complexity in thermodynamics Rolandi, P
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.358728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0dac8387-8394-4780-994b-fe09a579406a · outbound
This paper cites Munson, N.
Geometric complexity in thermodynamics Munson, N
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.373013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 74505d2d-f7e1-47d3-abe6-8e4699e4e699 · outbound
This paper cites Taranto, P.
Geometric complexity in thermodynamics Taranto, P
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.386876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8789a8dd-bf8d-4043-98b4-00f500f8f536 · outbound
This paper cites Campbell, I.
Geometric complexity in thermodynamics Campbell, I
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.390172Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 51e176e7-9b89-4fb0-9e0d-2e6a3b774b66 · outbound
This paper cites Reeb and M.
Geometric complexity in thermodynamics Reeb and M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.393472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b27f2121-f213-4921-9ecf-234702432471 · outbound
This paper cites Taranto, F.
Geometric complexity in thermodynamics Taranto, F
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.399935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c216e9e6-5493-49b5-9642-9372a311c44d · outbound
This paper cites Masanes and J.
Geometric complexity in thermodynamics Masanes and J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.396624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c4f84cfc-4bdc-4d0e-9222-d64441780e4e · outbound
This paper cites Van Vu and K.
Geometric complexity in thermodynamics Van Vu and K
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.314292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 43e74c62-5eca-4a99-9f60-f3e05cb4c687 · outbound
This paper cites Wilming and R.
Geometric complexity in thermodynamics Wilming and R
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.317395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4eef2035-0d61-4ce2-a9dc-7b94d962e87a · outbound
This paper cites Scharlau and M.
Geometric complexity in thermodynamics Scharlau and M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.320683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 03479aa1-6bec-4626-b25c-d3e8c704611e · outbound
This paper cites Clivaz, R.
Geometric complexity in thermodynamics Clivaz, R
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.304775Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f1ff3460-142d-474b-a13a-7484b4609047 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.383446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4e92e271-47d6-43e5-b8ca-bf59b650c22f · outbound
This paper cites Levy and R.
Geometric complexity in thermodynamics Levy and R
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.456933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 51f7c797-a022-4a0b-80c7-6903d0948dd9 · outbound
This paper cites Arora and B.
Geometric complexity in thermodynamics Arora and B
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.441231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation cbda2e03-7e46-4585-bcbf-646efe079759 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.307999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 158c13ac-c82d-4700-9a0b-e035e4c45e08 · outbound
This paper cites Haferkamp, P.
Geometric complexity in thermodynamics Haferkamp, P
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.311244Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4ece7575-7b7d-4855-8f9e-c4104939a67a · outbound
This paper cites A geometric approach to quantum circuit lower bounds.
Geometric complexity in thermodynamics A geometric approach to quantum circuit lower bounds
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T10:21:28.359306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 70b7f7a2-86e5-44fc-aaf7-0d04955e0525 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.298506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c75cea8d-0631-4f05-9565-ee888a5dfcc4 · outbound
This paper cites The geometry of quantum computation.
Geometric complexity in thermodynamics The geometry of quantum computation
Reference 34
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T10:21:28.353114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0a5fe7a7-3801-4c98-a785-1dad61850bc3 · outbound
This paper cites Breuer and B.
Geometric complexity in thermodynamics Breuer and B
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.403102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation bd7c7ab2-61a9-4fb0-9769-9e9fc7722327 · outbound
This paper cites Balasubramanian, M.
Geometric complexity in thermodynamics Balasubramanian, M
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.409474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b4d6181c-b5d2-4b77-9c8f-d43a2980860f · outbound
This paper cites Balasubramanian, M.
Geometric complexity in thermodynamics Balasubramanian, M
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.295441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation eb177799-9acb-4497-8ad3-69594d5f0868 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.406169Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d3ef9274-9545-46d2-a4c8-0e4d861783d1 · outbound
This paper cites Chapman, M.
Geometric complexity in thermodynamics Chapman, M
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.301757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a053cf69-95e2-48d0-be2f-f42fd231c222 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.330475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3fa425ab-11ef-4cad-b71d-0e0a8cb6d18c · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.292413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7d67d092-5d32-4ed8-aa07-2a0f7b9d3a73 · outbound
This paper cites Baiguera, V.
Geometric complexity in thermodynamics Baiguera, V
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.323709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9370ba63-0c45-416d-ad59-192e0337b361 · outbound
This paper cites Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl.10, 285 (1975).
Geometric complexity in thermodynamics Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl.10, 285 (1975)
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.412847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 21f99301-feb6-4e4c-a4d9-252571b596d2 · outbound
This paper cites Jamio lkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep.
Geometric complexity in thermodynamics Jamio lkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.380089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6acc2c08-b728-4e13-a28b-afe10a3e5476 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.424974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ffceaa37-945d-43e8-a299-b6bbfa004def · outbound
This paper cites Sinkhorn, A relationship between arbitrary positive matrices and doubly stochastic matrices, Ann.
Geometric complexity in thermodynamics Sinkhorn, A relationship between arbitrary positive matrices and doubly stochastic matrices, Ann
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.428404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 60c3ba53-5059-4014-bd9a-fd7617805293 · outbound
This paper cites Bhatia and J.
Geometric complexity in thermodynamics Bhatia and J
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.431362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1425ff68-448f-4892-a8a6-e6479a1da8d3 · outbound
This paper cites The geodesic distance under the constraint1⊺r=1 is always larger than or equal to that without the constraint.
Geometric complexity in thermodynamics The geodesic distance under the constraint1⊺r=1 is always larger than or equal to that without the constraint
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.437975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b446943c-07ca-4ddc-b767-32c4d6c5280e · outbound
This paper cites That is,T t =Te ∫ t 0 dsWs, whereW t =W k fort∈[k−1, k)and 1≤k≤N.
Geometric complexity in thermodynamics That is,T t =Te ∫ t 0 dsWs, whereW t =W k fort∈[k−1, k)and 1≤k≤N
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.422047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 158d847e-15cf-4c0d-9af4-1a87d4f517dc · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 50
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.276062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ba360917-73e1-415d-8e2a-22c5407bf32e · outbound
This paper cites This is not merely a mathematical conven- tion; it is physically necessary for quantifying the cost of thermodynamic control.
Geometric complexity in thermodynamics This is not merely a mathematical conven- tion; it is physically necessary for quantifying the cost of thermodynamic control
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.281944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 78a4e083-3f5c-4439-9dbb-0d37fd93d58f · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 52
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.418644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 274b20d5-f703-4e26-a12e-d1631c5e0100 · outbound
This paper cites Theorem 2.LetTbe a stochastic map such thatr T = T1/d∈P + d , and let{r t}0≤t≤1be a smooth path inP + d connectingr 1 andr T.
Geometric complexity in thermodynamics Theorem 2.LetTbe a stochastic map such thatr T = T1/d∈P + d , and let{r t}0≤t≤1be a smooth path inP + d connectingr 1 andr T
Reference 53
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.415863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 865b3dc5-707c-47ea-970b-0fa6866f78af · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 54
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.269552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d2185969-15f7-4ba8-b028-d1be4ba4e227 · outbound
This paper cites For simplicity, we consider stochastic maps acting on probability distributions over the one-dimensional interval[−1,1].
Geometric complexity in thermodynamics For simplicity, we consider stochastic maps acting on probability distributions over the one-dimensional interval[−1,1]
Reference 55
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.266290Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2ea85a4b-407f-40c4-b8c6-e7f5137eae65 · outbound
This paper cites It also follows thatϕ MΛ =d −1tr1 MΛ =Λ(1/d)is a density operator.
Geometric complexity in thermodynamics It also follows thatϕ MΛ =d −1tr1 MΛ =Λ(1/d)is a density operator
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.333636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b4885dd3-56bf-4312-992c-2b601dd0d577 · outbound
This paper cites Therefore, the metricg M(X,Y) on the space of Choi matrices is equivalent to the met- ricg ϕM(ϕX, ϕY)=tr (ϕ−1 M ϕXϕ−1 M ϕY) on the space of re- duced density operators.
Geometric complexity in thermodynamics Therefore, the metricg M(X,Y) on the space of Choi matrices is equivalent to the met- ricg ϕM(ϕX, ϕY)=tr (ϕ−1 M ϕXϕ−1 M ϕY) on the space of re- duced density operators
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.434679Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c1412df6-9c2e-4327-bd28-9ee00c613a66 · outbound
This paper cites Indeed, letρbe an arbitrary initial state.
Geometric complexity in thermodynamics Indeed, letρbe an arbitrary initial state
Reference 58
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.272918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7cb0b39f-a3cc-4f90-9871-781a85138611 · outbound
This paper cites Theorem 9.LetΛbe a quantum channel such that Λ(1/d)is full-rank, and let{ϕ t}0≤t≤1be a smooth path inS + d connecting1/dandΛ(1/d).
Geometric complexity in thermodynamics Theorem 9.LetΛbe a quantum channel such that Λ(1/d)is full-rank, and let{ϕ t}0≤t≤1be a smooth path inS + d connecting1/dandΛ(1/d)
Reference 59
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-27T09:59:03.285363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0bc8bba2-3a31-4605-b769-8fec0c8c2844 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 60
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.288466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9e9c3dae-d686-4098-acf7-94650133049f · outbound
This paper cites Lindbladian maps Let Λ(○)=e LN.
Geometric complexity in thermodynamics Lindbladian maps Let Λ(○)=e LN
Reference 61
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.327159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fe91ede5-2598-4803-a63f-042f59724722 · outbound
This paper cites Let{Λ t}0≤t≤1be the geodesic path, and defineϕ t ∶=ϕ Mt =Λ t(1/d), whereM t denotes the Choi matrix of the quantum channel Λ t.
Geometric complexity in thermodynamics Let{Λ t}0≤t≤1be the geodesic path, and defineϕ t ∶=ϕ Mt =Λ t(1/d), whereM t denotes the Choi matrix of the quantum channel Λ t
Reference 62
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.262372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a80b7a9b-e95b-4e35-89aa-14e507893b52 · outbound
This paper cites Since ∑n λn =1, we havedλ 1 ≤1.
Geometric complexity in thermodynamics Since ∑n λn =1, we havedλ 1 ≤1
Reference 63
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T09:59:03.256098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6918418e-13d5-46a9-a3e4-7384001821b8 · outbound
This paper cites an unresolved cited work.
Geometric complexity in thermodynamics Unresolved cited work
Reference 64
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T09:59:03.252973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
No inbound Pith citation observations are available.