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arXiv · 1410.8327

The Fidelity and Trace Norm Distances for Quantifying Coherence

Lian-He Shao·Zhengjun Xi·Heng Fan·Yongming Li
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Abstract

We investigate the coherence measures induced by fidelity and trace norm, based on the recent proposed coherence quantification in [Phys. Rev. Lett. 113, 140401, 2014]. We show that the fidelity of coherence does not in general satisfy the monotonicity requirement as a measure of coherence under the subselection of measurements condition. We find that the trace norm of coherence can act as a measure of coherence for qubit case and some special class of qutrits.

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Lian-He Shao, Zhengjun Xi, Heng Fan, Yongming Li. 2014-10-30. The Fidelity and Trace Norm Distances for Quantifying Coherence. https://doi.org/10.1103/physreva.91.042120

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