Multi-State Geometry of Density Matrices and Rectification Sum Rules | Paper Citation Record

Observation 6cfc822f-0d0e-450c-822b-1eefc8edf883 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.590436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 864fd1bb-097c-456a-b0ee-e7f163ca4796 · outbound

This paper cites Inspired by our separation ofC σ into unper- turbed, positive, and negative frequency components in Eq.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Inspired by our separation ofC σ into unper- turbed, positive, and negative frequency components in Eq

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.595008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ad9eaad-e6d3-4ab2-aa08-b0e30e06dc2f · outbound

This paper cites (B20) hints at the existence of a simpler spectral density repre- sentation.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (B20) hints at the existence of a simpler spectral density repre- sentation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.598878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 829ceddf-5804-4d40-8a9a-e2891fe59998 · outbound

This paper cites (B26) is given by a sum of delta functions, it satisfies a general sum rule 1 π Z ∞ 0 dϖ ρσ;νλ K (ϖ) = 1 π X ωac>0 wσ;νλ ac = X ωac>0 (pa −p c) [Bν, Bσ,d]ac (Bλ)ca.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (B26) is given by a sum of delta functions, it satisfies a general sum rule 1 π Z ∞ 0 dϖ ρσ;νλ K (ϖ) = 1 π X ωac>0 wσ;νλ ac = X ωac>0 (pa −p c) [Bν, Bσ,d]ac (Bλ)ca

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.603981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e8334da-5f48-4f79-9d4b-31abb1e38fcc · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.608157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4db60fcc-2f6a-424c-9695-a95aa57c3a5c · outbound

This paper cites To do so, we make use of Eq.

Multi-State Geometry of Density Matrices and Rectification Sum Rules To do so, we make use of Eq

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.612407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37814d0d-9250-4cbc-9c97-5d2b61c87145 · outbound

This paper cites (117) for the single- particle matrix elements of the position operator in or- der to derive Eq.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (117) for the single- particle matrix elements of the position operator in or- der to derive Eq

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.616505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 936fa67e-42d0-4054-8d6a-dc3b96cc9c23 · outbound

This paper cites (126) at zero temperature.

Multi-State Geometry of Density Matrices and Rectification Sum Rules (126) at zero temperature

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.620166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6a3264-699f-4f92-91bf-6c8cacefab4a · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.623936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffc36dbd-5233-4b89-bfb3-b35205c286d0 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.628505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d62be0a-bbfd-4f35-8935-648e85cbca5f · outbound

This paper cites Resta, Macroscopic polarization in crystalline di- electrics: The geometric phase approach, Reviews of Modern Physics66, 899 (1994).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Resta, Macroscopic polarization in crystalline di- electrics: The geometric phase approach, Reviews of Modern Physics66, 899 (1994)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.847371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b7e93894-e972-4017-bc0f-98cd92a2d326 · outbound

This paper cites Marzari and D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Marzari and D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.837148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 84eef679-347e-4d72-a825-59cd4646626b · outbound

This paper cites Souza, T.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Souza, T

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.639944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0120320b-2562-4aba-a690-faae40db6a35 · outbound

This paper cites Onishi and L.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Onishi and L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.643198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1e34ae6-d071-406c-959f-aaaa90676cc4 · outbound

This paper cites Verma and R.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Verma and R

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.646770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09cfb696-4304-4451-b314-fb62e67ea0fd · outbound

This paper cites Ba lut, B.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ba lut, B

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.650182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eae7ee4b-c0a9-40bd-993e-17e7d1e8bd11 · outbound

This paper cites Ba lut, B.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ba lut, B

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.653713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e80a8d9-9702-4a76-9003-beebbc31d14a · outbound

This paper cites Density Matrix Geometry and Sum Rules.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Density Matrix Geometry and Sum Rules

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.657191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bbaa0f8-8ba1-45cf-a420-00ed400d664a · outbound

This paper cites Chowdhury, Information, dissipation, and planck- ian optimality, arXiv preprint arXiv:2602.04953 (2026), arXiv:2602.04953.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Chowdhury, Information, dissipation, and planck- ian optimality, arXiv preprint arXiv:2602.04953 (2026), arXiv:2602.04953

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.661780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d31884ae-e7d9-44a3-8457-a2bc1ddd57a1 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.665284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88290c99-99df-4cd6-8beb-dae556e922ae · outbound

This paper cites Mendez-Valderrama, D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Mendez-Valderrama, D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.668740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c078fe77-6820-4824-9d6e-1f2fd7eb6aee · outbound

This paper cites Peotta and P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Peotta and P

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.671961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8601067-1d00-49a2-995e-15b01984f3b9 · outbound

This paper cites Liang, T.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Liang, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.783011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5db86d4c-240c-4ee2-9b3c-66ea835b1ad1 · outbound

This paper cites T¨ orm¨ a, S.

Multi-State Geometry of Density Matrices and Rectification Sum Rules T¨ orm¨ a, S

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.678355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78c097e9-b96a-4b63-9afc-af4a7adec282 · outbound

This paper cites Herzog-Arbeitman, V.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Herzog-Arbeitman, V

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.767287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 04468bf9-8628-4055-af41-c8e7accdbd9d · outbound

This paper cites Huhtinen, J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Huhtinen, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.757366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c25f8cf2-371b-41be-9fea-16de275289e6 · outbound

This paper cites Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.688401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04337bfd-1e94-4e7b-af88-e1a437f5a382 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.691927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e13592f-2013-4dea-98ea-863b095b6616 · outbound

This paper cites Neupert, C.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Neupert, C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.735212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2945d9b1-2d39-4f2f-a506-b43f5a0bede7 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:46.724742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bea9c489-abe0-4e62-8b9d-0b69dc59ac10 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.701603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fc15176-fbe8-4a9d-80bf-7832b9c470ab · outbound

This paper cites De Juan, A.

Multi-State Geometry of Density Matrices and Rectification Sum Rules De Juan, A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.705013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff42b301-1819-45d3-b35a-80733d7d240e · outbound

This paper cites Flicker, F.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Flicker, F

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.708380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72c4fcad-a35d-4d84-b08e-8b8d844950fb · outbound

This paper cites Morimoto and N.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Morimoto and N

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.712157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f27c9ca6-6b42-4c82-9dfb-0e40702274b9 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.715510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e160146a-6152-4f72-a2a1-ec95fa3fda61 · outbound

This paper cites Kaushik and J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Kaushik and J

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.719186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bf481a7-ffc1-4856-b0ad-f02b5c627a0a · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:46.673517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ab4ea716-8a8c-4d12-99f4-6cf7ca19f798 · outbound

This paper cites Chang, S.-Y.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Chang, S.-Y

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.663339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 619704e0-497a-43a2-83f8-5bd889d7835d · outbound

This paper cites Ahn, G.-Y.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ahn, G.-Y

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.729676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9765efef-7161-4cbc-a0a5-90181702172f · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.733766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7d14b9f-9ad4-4684-9de7-c2aa64218949 · outbound

This paper cites Aversa and J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Aversa and J

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.640609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 812c627c-37bf-4f44-b3bb-77c613ad21a3 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.741640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2eb26529-fff1-4b93-ac2d-4e5eac6dedcd · outbound

This paper cites Sodemann and L.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Sodemann and L

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.745179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4683791-85af-48f5-8296-137633fbfd91 · outbound

This paper cites Matsyshyn and I.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Matsyshyn and I

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.748624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b34a3107-ea8c-44f4-9c47-32513df42180 · outbound

This paper cites Morimoto, S.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Morimoto, S

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.608559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f0b0ad99-af7d-40bb-99dd-339158e9071f · outbound

This paper cites Du, H.-Z.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Du, H.-Z

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.597690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 693bcc16-7d0b-4e61-bbd0-1c4397267055 · outbound

This paper cites Ortix, Nonlinear hall effect with time-reversal symme- try: Theory and material realizations, Advanced Quan- tum Technologies4, 2100056 (2021).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ortix, Nonlinear hall effect with time-reversal symme- try: Theory and material realizations, Advanced Quan- tum Technologies4, 2100056 (2021)

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.758045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bc7d81e-9b75-488b-baf3-2d2ab02063c1 · outbound

This paper cites Nandy and I.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nandy and I

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.580292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9a158176-9953-4e8e-980b-6934e6508d07 · outbound

This paper cites Ahn, G.-Y.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Ahn, G.-Y

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.764991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7704a6e2-2ed1-4b09-9b7a-5b1e1fa2ac17 · outbound

This paper cites Quantum geometry beyond projective single bands.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Quantum geometry beyond projective single bands

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.768263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31fceff0-c981-4c07-8b3f-2476d6c97a5f · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.771947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc032f9f-0adc-4dac-8f41-b93595e70828 · outbound

This paper cites Alexandradinata, Quantization of intraband and in- terband Berry phases in the shift current, Physical Re- view B110, 075159 (2024).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Alexandradinata, Quantization of intraband and in- terband Berry phases in the shift current, Physical Re- view B110, 075159 (2024)

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.775597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85fceae6-842c-43ef-8d97-0550454cc985 · outbound

This paper cites Zhu and A.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Zhu and A

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.778888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a881fb53-9952-4511-a7a8-88f2c37b6d8b · outbound

This paper cites Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.782291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2697031c-0bc9-40d4-9e41-e72dc97af96a · outbound

This paper cites Avdoshkin and F.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Avdoshkin and F

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.785927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f832529-061b-4028-9eed-c6d50484877c · outbound

This paper cites The multi-state geometry of shift current and polarization.

Multi-State Geometry of Density Matrices and Rectification Sum Rules The multi-state geometry of shift current and polarization

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.789189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64e9dedd-1cd9-4369-a3db-8b93de964faf · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.792665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 552e7b3e-6fe7-4356-8aec-dad1b5fd1d1c · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:46.535954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 454d619a-316f-4de7-9133-21242a65b1f2 · outbound

This paper cites Guan and B.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Guan and B

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.525005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0e54b187-4d66-4ae2-b9ec-a582b0ab8ad2 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 60

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:25:46.043533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1b110f3e-1ddf-40a2-9885-e71e01b13887 · outbound

This paper cites Vortex-enhanced photovoltaic current in disordered topological materials.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Vortex-enhanced photovoltaic current in disordered topological materials

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:25:45.958974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e8526639-3faf-43ea-b9ce-7f6d37279519 · outbound

This paper cites Het´ enyi and P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Het´ enyi and P

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.810435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b258a5e6-16ab-4398-b38e-0de8ccc420f4 · outbound

This paper cites Amari and H.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Amari and H

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.506415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9fc242ce-4b8d-4efe-9bb6-0055eb7f4a8e · outbound

This paper cites Hasegawa,α-divergence of the non-commutative in- formation geometry, Reports on Mathematical Physics 33, 87 (1993).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Hasegawa,α-divergence of the non-commutative in- formation geometry, Reports on Mathematical Physics 33, 87 (1993)

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.495781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f1cf02c1-dfed-4d39-91ab-b1494eb8ae4a · outbound

This paper cites Hasegawa and D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Hasegawa and D

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.484850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dc2878ea-991f-43cb-82dc-1ae693040073 · outbound

This paper cites Nagaoka, Differential geometrical aspects of quantum state estimation and relative entropy, inQuantum Com- munications and Measurement, edited by V.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nagaoka, Differential geometrical aspects of quantum state estimation and relative entropy, inQuantum Com- munications and Measurement, edited by V

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.474331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 96a51cf7-ce1d-4e93-86d3-9f1b43701072 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 67

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:46.391392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8ddcc70b-b9db-4be5-bbcb-17f76b35f767 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.832445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da01c8e5-f12a-4b5e-99c1-7e52fecbb09d · outbound

This paper cites Provost and G.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Provost and G

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.445571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 98b5d821-7528-4d73-8722-ed0d71a3cdde · outbound

This paper cites Verma, P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Verma, P

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.433875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 28345146-c3eb-435d-a7cc-3e4a73606a7b · outbound

This paper cites Bengtsson and K.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Bengtsson and K

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.842727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be365b3f-a44d-432e-9f45-bd2bce14d33b · outbound

This paper cites Uhlmann, The metric of Bures and the geometric phase, Quantum groups and related topics , 267 (1992).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Uhlmann, The metric of Bures and the geometric phase, Quantum groups and related topics , 267 (1992)

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.845955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3c8c87b-3636-4159-9f61-0519bb639a0d · outbound

This paper cites Uhlmann, Geometric phases and related structures, Reports on Mathematical Physics36, 461 (1995).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Uhlmann, Geometric phases and related structures, Reports on Mathematical Physics36, 461 (1995)

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.849079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c6bb791-2a92-4a70-b3a3-b317061da61e · outbound

This paper cites Carollo, D.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Carollo, D

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.852345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9c7fe19-2983-4579-8a84-45353ceba8fd · outbound

This paper cites Nakahara,Geometry, topology and physics(CRC press, 2018).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nakahara,Geometry, topology and physics(CRC press, 2018)

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.855573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af1848a9-e37e-4339-aafa-bb43d9006b05 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:46.317197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1076fe8d-01f3-4877-968b-6cc6c2cfce6f · outbound

This paper cites Shimada, K.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Shimada, K

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.381891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3032433c-239c-46b0-9987-fd94ecb30262 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:46.372211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3e079e8c-31fa-40b4-bec2-19b78dd80f94 · outbound

This paper cites Iosifidis and K.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Iosifidis and K

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.362125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0164dbbb-6c07-4389-b10e-6c6238e0c3c7 · outbound

This paper cites Bradlyn and P.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Bradlyn and P

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.872457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 994cb572-30ad-494d-ab33-e776ff65a84f · outbound

This paper cites Resta, Geometrical theory of the shift current in pres- ence of disorder and interaction, Physical Review Letters 133, 206903 (2024).

Multi-State Geometry of Density Matrices and Rectification Sum Rules Resta, Geometrical theory of the shift current in pres- ence of disorder and interaction, Physical Review Letters 133, 206903 (2024)

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.875566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2676c74-5d08-4f0a-8ab9-9b574fc1c515 · outbound

This paper cites von Baltz and W.

Multi-State Geometry of Density Matrices and Rectification Sum Rules von Baltz and W

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.878608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0b7cd1c-a663-4f1e-8e0c-75916c12bf03 · outbound

This paper cites Nastos and J.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Nastos and J

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.333295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0d77938c-5369-4dfa-b961-1c83fc2c7914 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.885352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96b9bd8c-e469-454f-9170-98538d9e22c9 · outbound

This paper cites an unresolved cited work.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Unresolved cited work

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.892085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d1d9f34-e2cf-42f6-a687-3b595656eb77 · outbound

This paper cites Spin Hall conductivity in insulators with non-conserved spin.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Spin Hall conductivity in insulators with non-conserved spin

Reference 87

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:25:45.941604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation abc89671-51c3-4a6b-bceb-f1fc503d9f02 · outbound

This paper cites Souza, R.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Souza, R

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.899038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 603b60e7-9c3b-49e1-8da4-c14b3a72fb0e · outbound

This paper cites Patankar, L.

Multi-State Geometry of Density Matrices and Rectification Sum Rules Patankar, L

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:45.902529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e02de30f-1e0c-4207-8133-834ce3ffd50e · outbound

This paper cites 449–452, extended version: METR 94-14, De- partment of Mathematical Engineering and Instrumen- tation Physics, University of Tokyo.

Multi-State Geometry of Density Matrices and Rectification Sum Rules 449–452, extended version: METR 94-14, De- partment of Mathematical Engineering and Instrumen- tation Physics, University of Tokyo

Reference 1995

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:46.463427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers