Fidelity induced distance measures for quantum states
arXiv:0808.0984 · doi:10.1016/j.physleta.2009.07.042
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., $d$-dimensional system) case. The CPT contractive property and joint convex property of the metric are also studied.
8 pages