2008/12/16 by Zhi-Hao Ma, Ma, Zhi-Hao, Fu-Lin Zhang +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.0812.3016
arxiv created 2009/02/01 · arxiv updated 2009/12/01
In this paper, we study metrics of quantum states. These metrics are natural generalization of trace metric and Bures metric. We will prove that the metrics are joint convex and contractive under quantum operation. Our results can find important application in studying the geometry of quantum states and is useful to detect entanglement.