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Quantum Information Processing
Published in: Quantum Information Processing 1/2019

01-01-2019

Triangle-like inequalities related to coherence and entanglement negativity

Authors: Zhi-Xiang Jin, Xianqing Li-Jost, Shao-Ming Fei

Published in: Quantum Information Processing | Issue 1/2019

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Abstract

Quantum coherence and entanglement are two key features in quantum mechanics and play important roles in quantum information processing and quantum computation. We provide a general triangle-like inequality satisfied by the \(l_1\)-norm measure of coherence for convex combination of arbitrary n pure states of a quantum state \(\rho \). Furthermore, we present triangle-like inequality for the convex-roof extended negativity for any states of rank 2, which gives a positive answer to a conjecture raised in Dai et al. (Phys. Rev. A 96:062308, 2017). Detailed examples are given to illustrate the relations characterized by the triangle-like inequalities.
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Metadata
Title
Triangle-like inequalities related to coherence and entanglement negativity
Authors
Zhi-Xiang Jin
Xianqing Li-Jost
Shao-Ming Fei
Publication date
01-01-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 1/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-2121-5

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