Optimal bounds on functions of quantum states under quantum channels

Chi Kwong Li, Diane Christine Pelejo, Kuo-Zhong Wang

Research output: Contribution to journalArticle

1 Scopus citations


Let ρ1, ρ2 be quantum states and (ρ1, ρ2) → D(ρ1, ρ2) be a scalar function such as the trace distance, the fidelity, and the relative entropy, etc. We determine optimal bounds for D(ρ1,ф(ρ2)) for ф ε S for different class of functions D(·), where S is the set of unitary quantum channels, the set of mixed unitary channels, the set of unital quantum channels, and the set of all quantum channels.

Original languageEnglish
Pages (from-to)845-861
Number of pages17
JournalQuantum Information and Computation
Issue number9-10
StatePublished - 1 Jan 2016


  • Density matrices
  • Eigenvalues
  • Fidelity
  • Majorization
  • Mixed unitary channels
  • Quantum channels
  • Quantum states
  • Relative entropy
  • Unital channels

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