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Quantum Information Processing

Notes on modified trace distance measure of coherence

  • 01-05-2018
Published in:
Authors
Bin Chen
Shao-Ming Fei
Published in
Quantum Information Processing | Issue 5/2018

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Abstract

We investigate the modified trace distance measure of coherence recently introduced in Yu et al. [Phys. Rev. A 94, 060302(R), 2016]. We show that for any single-qubit state, the modified trace norm of coherence is equal to the \(l_{1}\)-norm of coherence. For any d-dimensional quantum system, an analytical formula of this measure for a class of maximally coherent mixed states is provided. The trade-off relation between the coherence quantified by the new measure and the mixedness quantified by the trace norm is also discussed. Furthermore, we explore the relation between the modified trace distance measure of coherence and other measures such as the \(l_{1}\)-norm of coherence and the geometric measure of coherence.

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previous article Improved separability criteria via some classes of measurements
next article Quantum reversible circuit of AES-128
Title
Notes on modified trace distance measure of coherence
Authors
Bin Chen
Shao-Ming Fei
Publication date
01-05-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 5/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1879-9
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