NATURAL METRIC FOR QUANTUM INFORMATION THEORY

DOI10.1142/S0219749909005584zbMath1185.81049arXiv0807.0583MaRDI QIDQ3401885

J. Sparacino, Mariela Portesi, Pedro W. Lamberti

Publication date: 1 February 2010

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0583

zbMATH Keywords

entropypurificationmetrics between quantum states

Mathematics Subject Classification ID

Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (6)

SPIN SQUEEZING AND ENTANGLEMENT VIA FINITE-DIMENSIONAL DISCRETE PHASE-SPACE DESCRIPTION ⋮ A family of generalized quantum entropies: definition and properties ⋮ Some applications of the Hermite–Hadamard inequality for log‐convex functions in quantum divergences ⋮ Unified scheme for correlations using linear relative entropy ⋮ Distinguishability notion based on Wootters statistical distance: Application to discrete maps ⋮ Some properties of Tsallis and Tsallis-Lin quantum relative entropies

Cites Work

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• The transition probability in the state space of a \(^*\)-algebra
• A generalized solution of the orthogonal Procrustes problem
• Decoherence, einselection, and the quantum origins of the classical
• The role of relative entropy in quantum information theory
• Fidelity for Mixed Quantum States
• Statistical distance and the geometry of quantum states

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