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Phys. Rev. A 79, 024302 (2009) [4 pages]

Bound on trace distance based on superfidelity

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Zbigniew Puchała*
Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland

Jarosław Adam Miszczak
Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland and Faculty of Informatics, Masaryk University, Botanická 68a, 60200 Brno, Czech Republic

Received 24 November 2008; published 5 February 2009

We provide a bound for the trace distance between two quantum states. The lower bound is based on the superfidelity, which provides the upper bound on quantum fidelity. One of the advantages of the presented bound is that it can be estimated using a simple measurement procedure. We also compare this bound with the one provided in terms of fidelity.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.024302
DOI:
10.1103/PhysRevA.79.024302
PACS:
03.67.−a, 03.65.−w, 02.10.Yn

*z.puchala@iitis.gliwice.pl