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{{Short description|Measure of information in quantum information theory}} ...for the [[von Neumann entropy]]. Like other entropies, the joint quantum entropy is measured in [[bit]]s, i.e. the logarithm is taken in base 2. ...

...\mathcal{N}</math>; intuitively, it attempts to describe how much of the [[quantum information]] in the state will remain after the state goes through the cha ...ann entropy]] of the output and <math>S({\mathcal N},\rho)</math> is the [[entropy exchange]] between the state and the channel. ...

{{Short description|Measure of relative information in quantum information theory}} ...he negativity of quantum conditional entropy is a sufficient criterion for quantum [[Separable state|non-separability]]. ...

{{Short description|Measure in quantum information theory}} ...sure of correlation between subsystems of quantum state. It is the quantum mechanical analog of [[Claude Shannon|Shannon]] [[mutual information]]. ...

*[[Braunstein–Ghosh–Severini entropy]], quantum mechanical entropy ...

{{Short description|Measure of distinguishability between two quantum states}} ...matrix|quantum states]]. It is the quantum mechanical analog of [[relative entropy]]. ...

| name = Programming the Universe: A Quantum Computer Scientist Takes On the Cosmos | subject = [[Quantum mechanics]], [[quantum computers]] ...

...mion condensation quantum phase transition, see e.g. [[strongly correlated quantum spin liquid]]. In case of [[three dimensional]] [[Fermi liquid]], this tra ...[[entropy]] of its thermal fluctuations. A classical system does not have entropy at zero temperature and therefore no phase transition can occur. Their orde ...

{{Short description|Upper bound on the knowable information of a quantum state}} ...n [[upper bound]] to the amount of information that can be known about a [[quantum state]] (accessible information). It was published by [[Alexander Holevo]] ...

{{Short description|Expression of monatomic ideal gas entropy}} The '''Sackur–Tetrode equation''' is an expression for the [[entropy]] of a [[monatomic]] [[ideal gas]], which can be derived from the Gibbs rid ...

In a [[quantum system]], the microstate is simply the value of the [[wave function]].<ref ...ical in nature, then these microstates form a discrete set as defined by [[quantum statistical mechanics]], and <math>E_i</math> is an [[energy level]] of the ...

{{Short description|Statistical mechanics of quantum-mechanical systems}} {{Quantum mechanics|cTopic=Advanced topics}} ...

|fields = [[Quantum physics]] ...um Darwinism]]<br>[[Pointer state]]<br>[[Einselection]]<br>Envariance<br>[[Quantum discord]]<br>[[Kibble–Zurek mechanism]]<br>[[Kibble–Zurek scaling laws]] ...

...ainty''' is defined as the sum of the temporal and spectral [[Differential entropy|Shannon entropies]]. It turns out that Heisenberg's [[uncertainty principl ...ame=Hirschman>{{Citation |first=I. I. Jr. |last=Hirschman |title=A note on entropy |journal=[[American Journal of Mathematics]] |year=1957 |volume=79 |issue=1 ...

...oscopic change in [[internal energy]] in terms of microscopic changes in [[entropy]], and [[volume (thermodynamics)|volume]] for a [[closed system]] in therma ...'U'' is [[internal energy]], ''T'' is [[absolute temperature]], ''S'' is [[entropy]], ''P'' is [[pressure]], and ''V'' is [[volume]]. ...

...as a statistical property using [[probability theory]]. The '''statistical entropy''' perspective was introduced in 1870 by Austrian physicist [[Ludwig Boltzm {{main|Boltzmann's entropy formula}} ...

...line solid that contains a large number of independent three-dimensional [[quantum harmonic oscillator]]s of the same frequency. The independence assumption i ...roposed this theory because it was a particularly clear demonstration that quantum mechanics could solve the specific heat problem in classical mechanics.<ref ...

...ntanglement monotone|measure]] of [[quantum entanglement]] for a bipartite quantum system. If <math>\varrho_{A, B}</math> is the [[density matrix]] of a syste ...rrho_{A, B, \Lambda}</math>. We define <math>S(A:B | \Lambda)</math>, the quantum '''Conditional Mutual Information (CMI)''', below. A more general version o ...

...isplay="block">H(x,p;V) = K(p) + \varphi(x;V)</math> be the [[Hamiltonian (quantum mechanics)|Hamiltonian]] of a one-dimensional system, where <math display=" ...] <math>T</math> is given by time average of the kinetic energy, and the [[entropy]] <math>S</math> by the [[logarithm]] of the [[Action (physics)|action]] (i ...

...gh this is itself a philosophical assumption. When, as in fields such as [[quantum physics]] and [[relativity theory]], existing assumptions about reality hav ...indistinguishable is not appropriately taken into account, the calculated entropy is not an [[extensive variable]] as it should be. ...