Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics)

Inequalities: Theory of Majorization and Its Applications
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Quantum coherence, time-translation symmetry and thermodynamics. X 5 , Weilenmann, M. Axiomatic relation between thermodynamic and information-theoretic entropies. Korzekwa, K. The extraction of work from quantum coherence.

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“Inequalities: Theory of Majorization and its Applications” merits strong praise. Springer Series in Statistics Preservation and Generation of Majorization. from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong pra. Book. Part of the Springer Series in Statistics book series (SSS).

New J. Ruch, E. The principle of increasing mixing character and some of its consequences.

Acta 41 , 95— Dahl, G. Matrix majorization.

Linear Algebra Appl. Renes, J. Relative submajorization and its use in quantum resource theories. Buscemi, F. Fully quantum second-law-like statements from the theory of statistical comparisons. Preprint at arXiv Quantum relative Lorenz curves. Torgersen, E. Comparison of Statistical Experiments. Press, Cambridge, Shmaya, E. Comparison of information structures and completely positive maps. A 38 , Chefles, A. The quantum blackwell theorem and minimum error state discrimination. Comparison of quantum statistical models: equivalent conditions for sufficiency.

Game-theoretic characterization of antidegradable channels. Comparison of quantum channels and statistical experiments.

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In Proc. Comparison of two noisy channels.

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Theory 16 , — Degradable channels, less noisy channels, and quantum statistical morphisms. Renner, R. Security of quantum key distribution. Reverse data-processing theorems and computational second laws. Pre-print at arXiv Tomamichel, M. Quantum resource theories in the single-shot regime. Bartlett, S. Reference frames, superselection rules, and quantum information. Alberti, P. A problem relating to positive linear maps on matrix algebras. On the existence of physical transformations between sets of quantum states.

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Heinosaari, T. Extending quantum operations. Measuring the quality of a quantum reference frame: the relative entropy of frameness.

Marvian, I. Modes of asymmetry: the application of harmonic analysis to symmetric quantum dynamics and quantum reference frames. Symmetry, Asymmetry and Quantum Information. PhD thesis, University of Waterloo. Catalytic coherence. Callen, H. Jarzynski, C. Nonequilibrium equality for free energy differences. Crooks, G.


Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. E 60 , Campisi, M. Quantum fluctuation relations: foundations and applications. Goold, J. The role of quantum information in thermodynamics—a topical review. A 49 , Vinjanampathy, S. Quantum thermodynamics. Partovi, M. Verschraenkung versus Stosszahlansatz: disappearance of the thermodynamic arrow in a high-correlation environment.

E 77 , The thermodynamic meaning of negative entropy. Nature , 61 Jennings, D. Entanglement and the thermodynamic arrow of time. E 81 , Giles, R. Mathematical Foundations of Thermodynamics Pergamon, Oxford, Lieb, E. The physics and mathematics of the second law of thermodynamics. Rept , 1—96 Pusz, W. Passive states and KMS states for general quantum systems.

Lenard, A. Thermodynamical proof of the Gibbs formula for elementary quantum systems. Balian, R. Equiprobability, inference, and entropy in quantum theory. Vaccaro, J.

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Information erasure without an energy cost. A , — Halpern, N. Yunger Beyond heat baths II: framework for generalized thermodynamic resource theories. A 51 , Thermodynamic resource theories, non-commutativity and maximum entropy principles.


Yunger Halpern, N. Microcanonical and resource-theoretic derivations of the thermal state of a quantum system with noncommuting charges.

Oscar Dahlsten, Tutorial 1, "Entropy and majorization in generalized probabilistic theories"

Guryanova, Y. Thermodynamics of quantum systems with multiple conserved quantities. Cassidy, A. Generalized thermalization in an integrable lattice system. Kwon, H. Clock-work trade-off relation for coherence in quantum thermodynamics. IEEE Trans. Theory 55 , Vitanov, A.