Extended quantum conditional entropy and quantum uncertainty inequalities

DOI10.1007/s00220-013-1775-1zbMath1280.81022arXiv1204.0825OpenAlexW3106107679MaRDI QIDQ382284

Elliott H. Lieb, Rupert L. Frank

Publication date: 18 November 2013

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

Full work available at URL: https://arxiv.org/abs/1204.0825

zbMATH Keywords

conditional entropystrong subadditivityquantum inequalities

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (10)

Position-momentum uncertainty relations in the presence of quantum memory ⋮ Quantum Brascamp-Lieb dualities ⋮ Continuous-variable \((3, 3)\)-threshold quantum secret sharing based on one-sided device-independent security ⋮ Quantum preparation uncertainty and lack of information ⋮ Uncertainty-reality complementarity and entropic uncertainty relations ⋮ Measurement uncertainty relations for discrete observables: relative entropy formulation ⋮ The smooth entropy formalism for von Neumann algebras ⋮ Entropic Heisenberg limits and uncertainty relations from the Holevo information bound ⋮ Approximate tensorization of the relative entropy for noncommuting conditional expectations ⋮ Entropic uncertainty and measurement reversibility

Cites Work

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• An entropic uncertainty principle for positive operator valued measures
• Expectations and entropy inequalities for finite quantum systems
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Entropic uncertainty relations—a survey
• A Note on Entropy
• A Schwarz Inequality for Convex Operator Functions
• Heisenberg-style bounds for arbitrary estimates of shift parameters including prior information
• Entropy and the uncertainty principle

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