Generalised state space geometry in Hermitian and non-Hermitian quantum systems | Paper Citation Record

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

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This paper cites (27) This is one of the simplest generalised versions of the QMT, which we will call theα- quantum-metric tensor (QAMT).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems (27) This is one of the simplest generalised versions of the QMT, which we will call theα- quantum-metric tensor (QAMT)

Reference 3

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This paper cites (39) Here we have assumed that the two sets of generators and the initial states are not related for general α , 0, and are equal only for α = 0.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems (39) Here we have assumed that the two sets of generators and the initial states are not related for general α , 0, and are equal only for α = 0

Reference 5

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This paper cites (41) Importantly, note that this form of the α-density matrices is not Hermitian ρ(α) , (ρ(α))†.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems (41) Importantly, note that this form of the α-density matrices is not Hermitian ρ(α) , (ρ(α))†

Reference 6

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Reference 7

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Observation 316bd283-99c8-429b-bde8-bf5940cfa637 · outbound

This paper cites (65) This is essentially the antisymmetric part of FS LR i j , i.e.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems (65) This is essentially the antisymmetric part of FS LR i j , i.e

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Reference 13

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This paper cites Since we are considering the evolu- tion of a right state|ΨR⟩ and the related associated state⟨ΨL| [54], the generator is biorthogonal-Hermitian H# R = HR.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Since we are considering the evolu- tion of a right state|ΨR⟩ and the related associated state⟨ΨL| [54], the generator is biorthogonal-Hermitian H# R = HR

Reference 15

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

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Observation 0827bb62-7269-44f1-9634-eb3a37940154 · outbound

This paper cites Nagaoka, Methods of information geometry, V ol.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Nagaoka, Methods of information geometry, V ol

Reference 18

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Reference 19

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Observation e24220b4-320a-41b1-a158-03b5c8ca2b18 · outbound

This paper cites Amari, Differential-geometrical methods in statistics , V ol.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Amari, Differential-geometrical methods in statistics , V ol

Reference 20

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Observation 8a36c3a8-98ea-42d1-9d9b-9e6813313d1d · outbound

This paper cites Ruppeiner, Rev.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Ruppeiner, Rev

Reference 21

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Janyszek and R

Reference 22

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This paper cites Johnston, W.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Johnston, W

Reference 23

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This paper cites Kumar and T.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Kumar and T

Reference 27

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This paper cites Maity, S.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Maity, S

Reference 28

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This paper cites Cafaro, in AIP Conference Proceedings, V ol.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Cafaro, in AIP Conference Proceedings, V ol

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Reference 30

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Observation c47ab62c-197a-47b9-97e9-dd50c03d9615 · outbound

This paper cites On the Thermodynamic Geometry of BTZ Black Holes.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems On the Thermodynamic Geometry of BTZ Black Holes

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This paper cites Ruppeiner, A.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Ruppeiner, A

Reference 32

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This paper cites Conformal Fisher information metric with torsion.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Conformal Fisher information metric with torsion

Reference 33

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This paper cites Ruppeiner, American Journal of Physics 78, 1170 (2010).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Ruppeiner, American Journal of Physics 78, 1170 (2010)

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Provost and G

Reference 35

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Observation 7da8dda9-dfa3-43ae-b248-e8446255c627 · outbound

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Geometric Quantum Mechanics

Reference 36

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Geometrical Formulation of Quantum Mechanics

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 40

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Observation 5667835c-167b-4306-9803-d34c7fd71a17 · outbound

This paper cites Anandan, Foundations of Physics 21, 1265 (1991).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Anandan, Foundations of Physics 21, 1265 (1991)

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This paper cites Facchi, R.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Facchi, R

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Zanardi and N

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Zanardi, P

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Observation 5e72276a-d474-4b7e-90af-0ae2e784f4eb · outbound

This paper cites St ˇreleˇcek and P.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems St ˇreleˇcek and P

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Observation 33940def-74fc-47f2-b7b8-9b6e5567d4f4 · outbound

This paper cites Kolodrubetz, V.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Kolodrubetz, V

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Observation c0387cdc-7fa2-4b73-b5db-b65159c499c7 · outbound

This paper cites Resta, The European Physical Journal B 79, 121 (2011).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Resta, The European Physical Journal B 79, 121 (2011)

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Observation 684faf56-ce1e-4c48-9b0c-c9d72cf2f99b · outbound

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Ozawa and B

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Observation 243feb2d-3669-4c71-b400-c4c9b9da8c3e · outbound

This paper cites Mera and T.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Mera and T

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This paper cites Xiao, M.-C.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Xiao, M.-C

Reference 53

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Observation f5186608-1a9e-460b-b494-53b1e005abab · outbound

This paper cites Gu, International Journal of Modern Physics B 24, 4371 (2010).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Gu, International Journal of Modern Physics B 24, 4371 (2010)

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Observation e2be5f8c-2440-4920-b01a-19dcde9d694d · outbound

This paper cites From Classical to Quantum Information Geometry: A Guide for Physicists.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems From Classical to Quantum Information Geometry: A Guide for Physicists

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Reference 56

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Observation a1a209b0-4c39-4bd4-b983-40129a2d192c · outbound

This paper cites Petz, Linear Algebra and its Applications 244, 81 (1996).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Petz, Linear Algebra and its Applications 244, 81 (1996)

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Observation 4a52c058-df30-4a7b-a1f8-e5fb10fc879a · outbound

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Generalised state space geometry in Hermitian and non-Hermitian quantum systems Hasegawa, Reports on Mathematical Physics 33, 87 (1993)

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Observation 2afa5f11-1deb-46be-a5e0-b69035b9eb8a · outbound

This paper cites Hasegawa, Non-commutative extension of the informa- tion geometry, inQuantum Communications and Measurement, edited by V.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Hasegawa, Non-commutative extension of the informa- tion geometry, inQuantum Communications and Measurement, edited by V

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Observation 8f4e7300-b2bb-4e84-bcf3-c069d7e4c21d · outbound

This paper cites Hasegawa, Reports on Mathematical Physics 39, 49 (1997).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Hasegawa, Reports on Mathematical Physics 39, 49 (1997)

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.791924Z

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Observation 9e6f1a4e-87ef-4152-8431-438453ba9c53 · outbound

This paper cites Jen ˇcov´a, Reports on Mathematical Physics 47, 121 (2001).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Jen ˇcov´a, Reports on Mathematical Physics 47, 121 (2001)

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.780006Z

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Observation e99c3888-b352-4601-a3dc-7edbbd9557bf · outbound

This paper cites Petz, Linear Algebra Appl.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Petz, Linear Algebra Appl

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.768723Z

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Observation 5c7327a2-23aa-45ab-b273-70833bf47a53 · outbound

This paper cites Quantum Statistical Manifolds.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Quantum Statistical Manifolds

Reference 63

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Observation f55f7c32-39b9-42e8-b511-3707cc13391c · outbound

This paper cites Duality of quantum geometries.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Duality of quantum geometries

Reference 64

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T18:20:49.432812Z

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Observation f5966e8f-c3da-4d2e-b3c4-1875b3b32f10 · outbound

This paper cites Molitor, Journal of Geometric Mechanics 7, 169 (2015).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Molitor, Journal of Geometric Mechanics 7, 169 (2015)

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.757260Z

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Observation f5355967-dc4a-46c6-8f4f-0342a14cf156 · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:20:49.745306Z

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Observation af20ca1a-930b-427e-bad2-ca43343dcd1c · outbound

This paper cites Flat connections and Wigner-Yanase-Dyson metrics.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Flat connections and Wigner-Yanase-Dyson metrics

Reference 67

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Observation cf0a0f83-87fd-4342-8409-c5b09c0e8c9d · outbound

This paper cites Scalar Curvature of the Quantum Exponential Family for the Transverse-Field Ising Model and the Quantum Phase Transition.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Scalar Curvature of the Quantum Exponential Family for the Transverse-Field Ising Model and the Quantum Phase Transition

Reference 68

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T18:20:49.396071Z

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Observation 43324f9a-2eb4-4e91-90f7-81cd4dd2b2e3 · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 69

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:20:49.732369Z

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Observation 8afa5066-748a-47aa-92ff-c02f76d070a4 · outbound

This paper cites Pseudo-Hermitian Representation of Quantum Mechanics.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Pseudo-Hermitian Representation of Quantum Mechanics

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.047121Z

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Observation 5a353905-b60d-4abd-ae78-88430361950a · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.050794Z

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Observation d511d8a2-8692-48bf-8bd1-803117d5bf9f · outbound

This paper cites Curtright and L.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Curtright and L

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.712020Z

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Observation 329c858a-bc65-48c3-a20c-f168187c4786 · outbound

This paper cites Infinite Distances and Factorization.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Infinite Distances and Factorization

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.058688Z

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Observation 416e657e-2886-40e3-a469-33be4921e9eb · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.063434Z

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Observation 9607e71d-1447-4c19-946b-b8d133426d30 · outbound

This paper cites Kawabata, K.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Kawabata, K

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.066807Z

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Observation 6d9c10b6-c9a3-4b06-a19b-f99ecb57713e · outbound

This paper cites Het ´enyi and P.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Het ´enyi and P

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.685964Z

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Observation 1c50685e-9239-492b-b305-58932246a19f · outbound

This paper cites Amari, Neural computation 10, 251 (1998).

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Amari, Neural computation 10, 251 (1998)

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.674904Z

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Observation ce184f2e-d7ea-4d09-a034-081194be608f · outbound

This paper cites Quantum Natural Gradient.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Quantum Natural Gradient

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.078093Z

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Observation c64f8472-4c74-49bb-bd53-89dfc581ce57 · outbound

This paper cites On the natural gradient for variational quantum eigensolver.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems On the natural gradient for variational quantum eigensolver

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.082143Z

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Observation ae928f6f-5649-495a-a765-1c5996d8b1f4 · outbound

This paper cites Cui and Y.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Cui and Y

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.662896Z

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Observation 5ea1fea5-b987-4b9d-b08e-6a95e9b9491d · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 81

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:20:49.650268Z

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Observation 6a6c3eb9-4c57-4821-a3ec-7b3f388af962 · outbound

This paper cites Quantum Geometric Tensor in $\mathcal{PT}$-Symmetric Quantum Mechanics.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Quantum Geometric Tensor in $\mathcal{PT}$-Symmetric Quantum Mechanics

Reference 82

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.328941Z

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Observation 475c1157-ede8-4d5f-b706-4b66277da31e · outbound

This paper cites Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric

Reference 83

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.311539Z

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Observation 48860bc0-5584-4176-bb39-7e93f380254c · outbound

This paper cites Quantum metric and wavepackets at exceptional points in non-Hermitian systems.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Quantum metric and wavepackets at exceptional points in non-Hermitian systems

Reference 84

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.294070Z

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Observation 96d9f732-1eed-4e82-9f39-638bfcf874ef · outbound

This paper cites Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems

Reference 85

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.277119Z

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Observation cb59da6c-7174-4f79-b5d2-c240dddd0410 · outbound

This paper cites Cuerda, J.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Cuerda, J

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.637161Z

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Observation a7881cb1-a852-490a-94ba-26bff77e69c6 · outbound

This paper cites Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.115040Z

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Observation 9ed8bc81-823c-416d-af32-c9ef5942aad1 · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 88

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:20:49.622356Z

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Observation 62b6eb88-e24a-4993-8a26-a062d357a736 · outbound

This paper cites an unresolved cited work.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Unresolved cited work

Reference 89

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:20:49.609539Z

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Observation bb04c0dc-5d65-41af-bb4c-17467ade61db · outbound

This paper cites Information Geometry and Parameter Sensitivity of Non-Hermitian Hamiltonians.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Information Geometry and Parameter Sensitivity of Non-Hermitian Hamiltonians

Reference 90

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.249555Z

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Observation ce4fef7a-38b3-4dbc-a571-6bb00b933de7 · outbound

This paper cites Non-Hermitian Physics.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Non-Hermitian Physics

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.131314Z

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Observation ab840e77-9445-4b78-88b9-c6c68a1c937d · outbound

This paper cites Quantum Hall admittance in non-Hermitian systems.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Quantum Hall admittance in non-Hermitian systems

Reference 92

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.219420Z

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Observation 885b6ff2-69ec-4789-bb73-4ce6b74dc71b · outbound

This paper cites Variational Matrix Product State Approach for Non-Hermitian System Based on a Companion Hermitian Hamiltonian.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Variational Matrix Product State Approach for Non-Hermitian System Based on a Companion Hermitian Hamiltonian

Reference 93

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:49.201539Z

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Observation bce5f867-f5d2-4cf0-b481-fcf86a40c353 · outbound

This paper cites Variational quantum algorithms for scanning the complex spectrum of non-Hermitian systems.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Variational quantum algorithms for scanning the complex spectrum of non-Hermitian systems

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:49.143559Z

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Observation 31e1b3db-30e6-49b7-b3e1-9c39f4a0a44a · outbound

This paper cites Yu and C.

Generalised state space geometry in Hermitian and non-Hermitian quantum systems Yu and C

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:49.596248Z

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