English

The Fidelity and Trace Norm Distances for Quantifying Coherence

Quantum Physics 2015-04-22 v1

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.

Keywords

Cite

@article{arxiv.1410.8327,
  title  = {The Fidelity and Trace Norm Distances for Quantifying Coherence},
  author = {Lian-He Shao and Zhengjun Xi and Heng Fan and Yongming Li},
  journal= {arXiv preprint arXiv:1410.8327},
  year   = {2015}
}

Comments

4 pages, 1 figures

R2 v1 2026-06-22T06:41:42.607Z