Results 1 to 10 of about 48,053 (237)
Joint statistics of work and entropy production along quantum trajectories [PDF]
Physical Review E, 2021 In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the stochastic level by unravelling the system's evolution in terms of quantum jump trajectories.
Miller, Harry J. D. +3 more
openaire +6 more sources
Joint quasimodes, positive entropy, and quantum unique ergodicity [PDF]
Inventiones mathematicae, 2014 We study joint quasimodes of the Laplacian and one Hecke operator on compact congruence surfaces, and give conditions on the orders of the quasimodes that guarantee positive entropy on almost every ergodic component of the corresponding semiclassical measures.
Shimon Brooks, Elon Lindenstrauss
+7 more sources
Time Dependence of Joint Entropy of Oscillating Quantum Systems [PDF]
International Journal of Theoretical Physics, 2008 18 pages, 8 ...
Ozcan, Ozgur +2 more
openaire +6 more sources
From joint convexity of quantum relative entropy to a concavity theorem of Lieb [PDF]
Proceedings of the American Mathematical Society, 2012 This note provides a succinct proof of a 1973 theorem of Lieb that establishes the concavity of a certain trace function. The development relies on a deep result from quantum information theory, the joint convexity of quantum relative entropy, as well as a recent argument due to Carlen and Lieb.
Joel A. Tropp
openaire +4 more sources
Some problems on the measurement of quantum observables and determination of joint entropy in quantum statistics [PDF]
Communications In Mathematical Physics, 1975 In the paper the equivalency of a successive measurement of observablesa andb on the Hilbert spaceH and a specially organized measurement of the observablea⊗b on the Hilbert space ℋ=H⊗H is determined. The state, wherein the measurement on ℋ is performed, is shown to be an operator analog of classical joint density of probability distribution.
Vainshtein, V. D., Tvorogov, S. D.
openaire +4 more sources
Information Theory Meets Quantum Chemistry: A Review and Perspective [PDF]
EntropyIn this survey, we begin with a concise introduction to information theory within Shannon’s framework, focusing on the key concept of Shannon entropy and its related quantities: relative entropy, joint entropy, conditional entropy, and mutual information.
Yilin Zhao +4 more
doaj +2 more sources
On Dynamical Measures of Quantum Information [PDF]
EntropyIn this work, we use the theory of quantum states over time to define joint entropy for timelike-separated quantum systems. For timelike-separated systems that admit a dual description as being spacelike-separated, our notion of entropy recovers the ...
James Fullwood, Arthur J. Parzygnat
doaj +2 more sources
Intelligent optimization method of joint firepower strike plan based on CE-QPSO algorithm [PDF]
Zhihui kongzhi yu fangzhen, 2023 Aiming at the problem of "fast and precise" in the optimization of joint fire strike scheme, a cross-entropy-quantum particle swarm optimization algorithm is designed, and an intelligent optimization method of joint fire strike scheme based on this ...
WANG Zancheng, HE Xiaoyuan
doaj +1 more source
Belavkin–Staszewski Relative Entropy, Conditional Entropy, and Mutual Information
Entropy, 2022 Belavkin–Staszewski relative entropy can naturally characterize the effects of the possible noncommutativity of quantum states. In this paper, two new conditional entropy terms and four new mutual information terms are first defined by replacing quantum ...
Yuan Zhai, Bo Yang, Zhengjun Xi
doaj +1 more source
Quantum scattering as a work source [PDF]
Quantum, 2022 We consider a collision between a moving particle and a fixed system, each having internal degrees of freedom. We identify the regime where the motion of the particle acts as a work source for the joint internal system, leading to energy changes which ...
Samuel L. Jacob +3 more
doaj +1 more source