Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach

DOI10.1063/1.4926965zbMath1403.81008arXiv1502.02018OpenAlexW2150731547MaRDI QIDQ2786609

Arleta Szkoła, Stephan Weis, Ilya M. Spitkovskij, Leiba Rodman

Publication date: 15 February 2016

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

Full work available at URL: https://arxiv.org/abs/1502.02018

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (10)

Estimates for discontinuity jumps of information characteristics of quantum systems and channels ⋮ Quaternion matrix decomposition and its theoretical implications ⋮ Maximum-entropy inference and inverse continuity of the numerical range ⋮ A variational principle for ground spaces ⋮ Classification of joint numerical ranges of three Hermitian matrices of size three ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ On the generalized free energy inequality ⋮ Operator systems and convex sets with many normal cones ⋮ Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States ⋮ Maximum entropy principle and Landau free energy inequality

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