Dimensionally sharp inequalities for the linear entropy

Morelli, Simon and Kloeckl, Claude and Eltschka, Christopher and Siewert, Jens and Huber, Marcus (2020) Dimensionally sharp inequalities for the linear entropy. LINEAR ALGEBRA AND ITS APPLICATIONS, 584. pp. 294-325. ISSN 0024-3795, 1873-1856

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Abstract

We derive an inequality for the linear entropy, that gives sharp bounds for all finite dimensional systems. The derivation is based on generalised Bloch decompositions and provides a strict improvement for the possible distribution of purities for all finite dimensional quantum states. It thus extends the widely used concept of entropy inequalities from the asymptotic to the finite regime, and should also find applications in entanglement detection and efficient experimental characterisations of quantum states. (C) 2019 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: ; Linear entropy; Entropy inequalities; Quantum; Bloch decomposition of quantum states
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Mar 2021 06:09
Last Modified: 08 Mar 2021 06:09
URI: https://pred.uni-regensburg.de/id/eprint/45564

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