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Quantum relative entropy

In quantum information theory, quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical… Expand
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Highly Cited
2017
Highly Cited
2017
We prove that the quantum relative entropy decreases monotonically under the application of any positive trace-preserving linear… Expand
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Highly Cited
2015
Highly Cited
2015
We present a bouquet of continuity bounds for quantum entropies, falling broadly into two classes: first, a tight analysis of the… Expand
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Highly Cited
2015
Highly Cited
2015
The data processing inequality states that the quantum relative entropy between two states ρ and σ can never increase by applying… Expand
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Highly Cited
2015
Highly Cited
2015
We study the vacuum-subtracted von Neumann entropy of a segment on a null plane. We argue that for interacting quantum field… Expand
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2015
2015
We consider a two-parameter family of Renyi relative entropies Dα,z(ρ ∥ σ) that are quantum generalisations of the classical… Expand
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Highly Cited
2009
Highly Cited
2009
  • Nilanjana Datta
  • IEEE Transactions on Information Theory
  • 2009
  • Corpus ID: 18446285
Two new relative entropy quantities, called the min- and max-relative entropies, are introduced and their properties are… Expand
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Highly Cited
2009
Highly Cited
2009
In the absence of a reference frame for transformations associated with group G, any quantum state that is noninvariant under the… Expand
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2008
2008
Properties of the max-relative entropy of entanglement, defined in Ref. 10, are investigated, and its significance as an upper… Expand
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Highly Cited
2007
Highly Cited
2007
We introduce a measure to quantify the non-Gaussian character of a quantum state: the quantum relative entropy between the state… Expand
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Highly Cited
2003
Highly Cited
2003
Monotonicity under coarse-graining is a crucial property of the quantum relative entropy. The aim of this paper is to investigate… Expand
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