Discontinuity of maximum entropy inference and quantum phase transitions

DOI10.1088/1367-2630/17/8/083019zbMath1454.81036arXiv1406.5046OpenAlexW3102948274MaRDI QIDQ5151586

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Publication date: 19 February 2021

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

Full work available at URL: https://arxiv.org/abs/1406.5046

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum entropies (81P17)

Related Items (9)

Estimates for discontinuity jumps of information characteristics of quantum systems and channels ⋮ Uncertainty relations on the joint numerical range of operators ⋮ Maximum-entropy inference and inverse continuity of the numerical range ⋮ Thermodynamic resource theories, non-commutativity and maximum entropy principles ⋮ Classification of joint numerical ranges of three Hermitian matrices of size three ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach ⋮ Operator systems and convex sets with many normal cones ⋮ Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States

Cites Work

• Quantum convex support
• Entropy distance: New quantum phenomena
• FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
• Information-Theoretic Differential Geometry of Quantum Phase Transitions
• Information Theory and Statistical Mechanics
• Analytic description of the super-radiant regime in the Dicke model
• Density Matrices Arising from Incomplete Measurements

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