摘要
We make comments on the conclusions of the paper:'Compare Quantum Operation Sensitivity for DifferentDistance Measures' [Commun.Theor.Phys.53 (2010)635],and give a physical example to describe the non-equivalenceof the fidelity and the trace distance.We prove that the fidelity is not more sensitive to a quantum operation than thetrace distance.
We make comments on the conclusions of the paper： ＂Compare Quantum Operation Sensitivity for Different Distance Measures＂ [Commun. Theor. Phys. 53 （2010） 635], and give a physical example to describe the non-equivalence of the fidelity and the trace distance. We prove that the fidelity is not more sensitive to a quantum operation than the trace distance.
基金
Supported by the Natural Science Foundation of Shandong Province under Grant No. ZR2009AM019
