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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Entropy Information Measures

Upper continuity bounds on the relative q-entropy for q>1

arXiv

Authors: Alexey E. Rastegin

Year

2010

Paper ID

10963

Status

Preprint

Abstract Read

~2 min

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Abstract

Generalized entropies and relative entropies are the subject of active research. Similar to the standard relative entropy, the relative q-entropy is generally unbounded for q>1. Upper bounds on the quantum relative q-entropy in terms of norm distances between its arguments are obtained in finite-dimensional context. These bounds characterize a continuity property in the sense of Fannes.

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Generalized entropies and relative entropies are the subject of active research.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.1335 [2] arXiv https://arxiv.org/abs/1010.1335 [3] Publisher https://arxiv.org/abs/1010.1335

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