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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2017

2017

- Henrik Wilming, Rodrigo Gallego, Jens Eisert
- Entropy
- 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

- Mario Berta, Omar Fawzi, Marco Tomamichel
- 2016 IEEE International Symposium on Information…
- 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

- Mario Berta, Marius Lemm, Mark M. Wilde
- Quantum Information & Computation
- 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

- Dénes Petz
- 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

- Dénes Petz
- 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

- Masahito Hayashi
- 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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