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...two [[quantum states]]. It is a "one-shot" analogue of [[quantum relative entropy]] and shares many properties of the latter quantity. ...characterization of resource requirements. <math>\epsilon</math>-relative entropy is one such particularly interesting measure. ...

{{Short description|Classic entropy of a quantum-mechanical density matrix}} ...rties of [[Entropy (information theory)|classical]], [[Von Neumann entropy|quantum]] and Wehrl entropies, and their implications in [[statistical mechanics]]. ...

...ver greater than the Hartley or [[Rényi entropy#Hartley or max-entropy|max-entropy]], defined as the logarithm of the ''number'' of outcomes with nonzero prob ...in-entropy is a one-shot, or conservative, analog of [[conditional quantum entropy]]. ...

...ion of a gas of quantum-mechanically interacting particles. Typically, the quantum Boltzmann equation is given as only the “collision term” of the full Boltzm ...u |first2=Jingwei |last3=Jin |first3=Shi |title=A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime |journal=[[Esaim: M2An]] | ...

...The entropies of the two cases are called thermal entropy and von Neumann entropy respectively.<ref>{{cite book | vauthors = Susskind L, Lindesay J | title = ...deration, whether zero or not, is called coarse grained entropy or thermal entropy. A large number of such systems, i.e. the one under consideration together ...

...sical thermodynamics]] and discusses advanced topics in both classical and quantum frameworks. It covers the subject in an abstract and rigorous manner and co ...h the [[Thermodynamic potential|thermodynamics potentials]] are derived. [[Quantum fluid]]s and [[Thermal fluctuations|fluctuations]] are also discussed. ...

...Beth Ruskai| title=Proof of the strong subadditivity of quantum‐mechanical entropy | journal=Journal of Mathematical Physics | publisher=AIP Publishing | volu ...of the [[Reduced density matrix|reduced density matrices]] describing the quantum subsystems. ...

{{Short description|Notion in network science of quantum information networks}} ...|last2=Lai |first2=Ying C. |date=2011 |title=Cascading dynamics in complex quantum networks |journal=Chaos: An Interdisciplinary Journal of Nonlinear Science ...

...ics and statistical mechanics; electromagnetism and photonics; relativity; quantum mechanics, atomic physics, and molecular physics; optics and acoustics; con ...Theory=This is a theory that combines the theory of general relativity and quantum mechanics. This theory can predict any particle, small or large. Currently, ...

{{Short description|Description of quantum mechanics in which the present depends on both the past and future}} ...terms of a [[causality|causal]] relation in which the present is caused by quantum states of the past and of the future taken in combination. ...

{{Short description|Phenomenon of isolated many-body quantum systems not reaching thermal equilibrium}} ...t2=Huse|first2=David A.|title=Many-Body Localization and Thermalization in Quantum Statistical Mechanics|journal=Annual Review of Condensed Matter Physics|vol ...

A quantum [[heat engine]] is a device that generates power from the heat flow between The operation mechanism of the engine can be described by the laws of [[quantum mechanics]]. ...

{{Short description|Study of the relations between thermodynamics and quantum mechanics}} {{Quantum mechanics}} ...

{{Short description|Processing quantum-encoded images}} ...ient image and video processing applications on quantum computers |journal=Entropy |volume=15 |issue=8 |pages=2874–2974 |year=2013 |last1=Iliyasu |first1=A.M. ...

...ed in the 1990s when two new areas emerged: ''[[control of chaos]]'' and ''quantum control''. ===Quantum control=== ...

| fields = Quantum electrodynamics, foundations of quantum theory, gauge theory | thesis_title = On Contact Transformations and Group Theory in Quantum Mechanical Problems ...

{{Short description|Fundamental mechanical principles}} ...lie at the heart of fundamental physics, from classical mechanics through quantum mechanics, particle physics, and general relativity.<ref>Thomas A. Moore "L ...

{{Short description|Hypothesis of quantum systems and when equilibrium statistical mechanics describes them accuratel ...by Josh Deutsch in 1991.<ref>{{cite journal|first=J.M.|last=Deutsch|title=Quantum statistical mechanics in a closed system|journal=Physical Review A|volume=4 ...

...sness-based peer-reviewed research for unifying causation, relativity, and quantum mechanics}} ...fundamental physics, which he argues can explain the causation of gravity, quantum mechanics, and reality. ...

...rollary, a lower bound on the [[kinetic energy]] of <math>N</math> quantum mechanical particles that plays an important role in the proof of [[stability of matte ...<math>-\mathrm{i}\nabla</math> with <math>p</math> and assuming that every quantum state is contained in a volume <math>(2\pi)^n</math> in the <math>2n</math> ...