Fidelity induced distance measures for quantum states

作者:Ma, Zhihao*; Zhang, Fu Lin; Chen, Jing Ling
来源:Physics Letters A, 2009, 373(38): 3407-3409.
DOI:10.1016/j.physleta.2009.07.042

摘要

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.