Journal ArticleDOI
Quasi-entropies for finite quantum systems
TLDR
In this article, the authors generalize Lieb's convexity theorem and the monotonicity of the relative entropy using the Jensen inequality of operator convex functions and derive the quantum version of Renyi's α-entropies.About:
This article is published in Reports on Mathematical Physics.The article was published on 1986-02-01. It has received 528 citations till now. The article focuses on the topics: Quantum relative entropy & Strong Subadditivity of Quantum Entropy.read more
Citations
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Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Journal ArticleDOI
Quantum resource theories
Eric Chitambar,Gilad Gour +1 more
TL;DR: This paper introduced a new development in theoretical quantum physics, the ''resource-theoretic'' point of view, which aims to be closely linked to experiment, and to state exactly what result you can hope to achieve for what expenditure of effort in the laboratory.
Journal ArticleDOI
Fundamental limitations for quantum and nanoscale thermodynamics
TL;DR: It is found that there are fundamental limitations on work extraction from non-equilibrium states, owing to finite size effects and quantum coherences, which implies that thermodynamical transitions are generically irreversible at this scale.
Book
An Introduction to Matrix Concentration Inequalities
TL;DR: The matrix concentration inequalities as discussed by the authors are a family of matrix inequalities that can be found in many areas of theoretical, applied, and computational mathematics. But they are not suitable for the analysis of random matrices.
References
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Book
Trace ideals and their applications
TL;DR: In this paper, Calkin's theory of operator ideals and symmetrically normed ideals convergence theorems for trace, determinant, and Lidskii's theorem are discussed.
Journal ArticleDOI
General properties of entropy
TL;DR: This paper discusses properties of entropy, as well as related concepts such as relative entropy, skew entropy, dynamical entropy, etc, in detail with reference to their implications in statistical mechanics, to get a glimpse of systems with infinitely many degrees of freedom.