Fidelity induced distance measures for quantum states
Quantum Physics
2015-05-13 v3
Abstract
Fidelity plays an important role in quantum information theory. In this letter, we introduce new metric of quantum states induced by fidelity, and connect it with the well-known trace metric, Sine metric and Bures metric for the qubit case. The metric character is also presented for the qudit (i.e., -dimensional system) case. The CPT contractive property and joint convex property of the metric are also studied.
Keywords
Cite
@article{arxiv.0808.0984,
title = {Fidelity induced distance measures for quantum states},
author = {Zhihao Ma and Fu-Lin Zhang and Jing-Ling Chen},
journal= {arXiv preprint arXiv:0808.0984},
year = {2015}
}
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8 pages