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Quantum relative entropy
The quantum relative entropy, in analogy with the classical relative entropy or Kullback-Leibler divergence , is a measure of closeness between ... strong sub-additivity . One can also define a relative entropy distance to some set of states, where one minimises D ( ρ ...
Wiki article - Anonymous (not verified) - 12/11/2017 - 00:49 - 0 comments
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Conditional entropy
The conditional entropy measures how much entropy a random variable X has remaining if we have already ... second random variable Y . It is referred to as the entropy of X conditional on Y , and is written H ( X ...
Wiki article - JMiszczak - 26/10/2015 - 17:56 - 0 comments
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Entropy of entanglement
The entropy of entanglement is an entanglement measure for a bipartite pure states . It is defined as the von Neumann entropy of one of the reduced states . That is, for a pure state ρ ... . Many entanglement measures reduce to the entropy of entanglement when evaluated on pure states. Among those are ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Classical Entropy Measures
====Introduction==== Classical entropy quantities are a way to quantify how much information is revealed in a ... occurs, one gains a large amount of information. The Shannon entropy is the average amount of information gained by observing the outcome of ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Entanglement Entropy: Special issue in the journal Entropy (MDPI)
1907 reads The use of entropy in quantum physics has guided remarkable advances in the understanding ... are further promoting the interpretation and application of entropy in the quantum domain. In this Special Issue, we aim to collect a ...
News - Torades - 26/10/2015 - 17:07 - 0 comments
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Classical relative entropy
... theory , the Kullback-Leibler divergence , or relative entropy , is a quantity which measures the difference between two ... p ) denoting by H ( p , q ) the cross entropy of p and q , and by H ( p ) the entropy of p . As ...
Wiki article - JMiszczak - 26/10/2015 - 17:56 - 0 comments
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Linear entropy
The linear entropy is a measure of mixedness in quantum states. Its main feature is that ... is the density matrix of the state. The linear entropy can range between zero, corresponding to a completely pure state, and ... d is the dimension of the density matrix.) Linear entropy is trivially related to the purity γ of a state by ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:37 - 0 comments
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Von Neumann entropy
The von Neumann entropy of a quantum state ρ is given by the formula, S( ρ ... are the eigenvalues of ρ then the Von Neumann entropy can be reexpressed as: S( ρ ) = − ∑ i ... logarithms are usually taken to be base 2, giving a maximum entropy of 1 for a qubit . See also Quantum relative entropy ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Special issue of Entropy "Certification and Verification of Quantum Systems"
... Colleagues, we are guest editors of a special issue of Entropy “Certification and Verification of Quantum Systems” whose aim is to ... please follow the link: https://www.mdpi.com/journal/entropy/special_issues/Certification_Verifi... IMPORTANT: The deadline ...
Conference - remigiusz - 16/11/2021 - 10:11 - 0 comments
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QMATH Masterclass on Entropy Inequalities in Quantum Information Science
... summer school summerschool masterclass entropy quantum Shannon theory Post date: Thursday, ... amount of information present in a system. In particular, entropy inequalities allow us to investigate what happens when we process ...
Conference - chirche - 27/02/2020 - 00:07 - 0 comments