CHARACTERIZING THE DEPOLARIZING QUANTUM CHANNEL IN TERMS OF RIEMANNIAN GEOMETRY

DOI10.1142/S0219887812600201zbMath1253.81083arXiv1111.4105OpenAlexW1967238734WikidataQ115245412 ScholiaQ115245412MaRDI QIDQ2911933

Carlo Cafaro, Stefano Mancini

Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4105

zbMATH Keywords

Riemannian geometryopen quantum systemsquantum information

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (1)

Information geometric aspects of probability paths with minimum entropy production for quantum state evolution

Cites Work

• Unnamed Item
• The relation between information theory and the differential geometry approach to statistics
• Riemannian structure on manifolds of quantum states
• Monotone metrics on matrix spaces
• Differential geometry of density states
• Geometrical description of quantum mechanics—transformations and dynamics
• Statistical distance and the geometry of quantum states
• Geometries of quantum states

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