English

Multiplicativity of Accessible Fidelity and Quantumness for Sets of Quantum States

Quantum Physics 2007-05-23 v1

Abstract

Two measures of sensitivity to eavesdropping for alphabets of quantum states were recently introduced by Fuchs and Sasaki in quant-ph/0302092. These are the accessible fidelity and quantumness. In this paper we prove an important property of both measures: They are multiplicative under tensor products. The proof in the case of accessible fidelity shows a connection between the measure and characteristics of entanglement-breaking quantum channels.

Keywords

Cite

@article{arxiv.quant-ph/0308120,
  title  = {Multiplicativity of Accessible Fidelity and Quantumness for Sets of Quantum States},
  author = {K. M. R. Audenaert and C. A. Fuchs and C. King and A. Winter},
  journal= {arXiv preprint arXiv:quant-ph/0308120},
  year   = {2007}
}