Quantum relative entropy

In quantum information theory, quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical… (More)
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1956-2017
051019562016

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2017
2017
Building upon work by Matsumoto, we show that the quantum relative entropy with full-rank second argument is determined by four… (More)
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2016
2016
The relative entropy is the basic concept underlying various information measures like entropy, conditional entropy and mutual… (More)
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2015
2015
The relative entropy is a principal measure of distinguishability in quantum information theory, with its most important property… (More)
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2011
2011
The quantum relative entropy is frequently used as a distance measure between two quantum states, and inequalities relating it to… (More)
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2010
2010
  • Xianhua Dai
  • 2010 International Conference on Management and…
  • 2010
Quantum finance is freshly developing, for example, to model interest rates and price options, see, \cite{CY2006, Nakayama2009… (More)
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2004
2004
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The… (More)
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2004
2004
We prove the ergodic version of the quantum Stein’s lemma which was conjectured by Hiai and Petz. The result provides an… (More)
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2003
2003
Monotonicity under coarse-graining is a crucial property of the quantum relative entropy. The aim of this paper is to investigate… (More)
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2002
2002
Monotonicity under coarse-graining is a crucial property of the quantum relative entropy. The aim of this paper is to investigate… (More)
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1997
1997
In this paper I proved that quantum relative entropy D(ρ‖σ) can be asymptotically attained by Kullback Leibler divergences of… (More)
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