Super fidelity and related metrics

Zhi-Hua Chen 1 , Zhihao Ma 2 , Fu-Lin Zhang 3 , and Jing-Ling Chen 4
  • 1 Department of Science, Zhijiang college, Zhejiang University of Technology, Hangzhou, 310024, P.R. China
  • 2 Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, P.R. China
  • 3 Department of Physics, Tianjin University, Tianjin, 300072, P.R. China
  • 4 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin, 300071, P.R. China

Abstract

We report a new metric of quantum states. This metric is built up from super-fidelity, which has a deep connection with the Uhlmann-Jozsa fidelity and plays an important role in quantum information processing. We find that the new metric possesses some interesting properties.

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