A geometric framework for mixed quantum states based on a Kähler structure

DOI10.1088/1751-8113/48/25/255301zbMath1319.81020arXiv1503.00238OpenAlexW1554032200MaRDI QIDQ5263958

Hoshang Heydari

Publication date: 20 July 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00238

zbMATH Keywords

Kähler manifoldquantum informationgeometric quantum mechanicsmixed quantum statessymeplectic geometry

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (3)

Geometric uncertainty relations on Wigner–Yanase skew information ⋮ Geometry and structure of quantum phase space ⋮ Non-Markovianity of geometrical qudit decoherence

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