Science China Physics, Mechanics and Astronomy

, Volume 55, Issue 9, pp 1529–1534 | Cite as

Fidelity and fidelity susceptibility based on Hilbert-Schmidt inner product

  • Jing Liu
  • XiaoMing Lu
  • Jian Ma
  • XiaoGuang WangEmail author
Article Progress of Projects Supported by NSFC


We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form. The geometric meaning of the fidelity is clarified. We then give the analytic expression of the fidelity susceptibility in both Hilbert and Liouville space. By using the reconstruction of symmetric logarithmic derivative in Liouville space, we present the time derivative of fidelity susceptibility with the normalized density vector representation.


fidelity fidelity susceptibility Liouville space 


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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jing Liu
    • 1
  • XiaoMing Lu
    • 2
  • Jian Ma
    • 3
  • XiaoGuang Wang
    • 3
    Email author
  1. 1.Zhejiang Institute of Modern Physics, Department of PhysicsZhejiang UniversityHangzhouChina
  2. 2.Centre for Quantum TechnologiesNational University of SingaporeSingaporeSingapore
  3. 3.Zhejiang Institute of Modern Physics, Department of PhysicsZhejiang UniversityHangzhouChina

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