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MiS Preprint Repository

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MiS Preprint
8/2019

Triangle-like inequalities related to coherence and entanglement negativity

Zhi-Xiang Jin, Xianqing Li-Jost and Shao-Ming Fei

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 [Phys. Rev. A 96, 062308 (2017)]. Detailed examples are given to illustrate the relations characterized by the triangle-like inequalities.

Received:
Jan 9, 2019
Published:
Jan 15, 2019

Related publications

inJournal
2019 Repository Open Access
Zhi-Xiang Jin, Xianqing Li-Jost and Shao-Ming Fei

Triangle-like inequalities related to coherence and entanglement negativity

In: Quantum information processing, 18 (2019) 1, p. 5