Asymptotically optimal discrimination between multiple pure quantum states

Michael Nussbaum and Arleta Szkola

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Submission date: 11. Jan. 2010
Pages: 11
published in: Theory of quantum computation, communication, and cryptography : 5th conference, TQC 2010, Leeds, UK, April 13 - 15, 2010, revised selected papers / W. van Dam ... (eds.)
Berlin [u. a.] : Springer, 2011. - P. 1 - 8
(Lecture notes in computer science ; 6519) 
DOI number (of the published article): 10.1007/978-3-642-18073-6_1
Bibtex
with the following different title: Asymptotically optimal discrimination between pure quantum states
MSC-Numbers: 81, 62
Keywords and phrases: quantum state discrimination, quantum hypothesis testing, generalized quantum Chernoff distance
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Abstract:
We consider the decision problem between a finite number of states of a finite quantum system, when an arbitrary large number of copies of the system is available for measurements. We provide an upper bound on the asymptotic exponential decay of the averaged probability of rejecting the true state. It represents a generalized quantum Chernoff distance of a finite set of states. As our main result we prove that the bound is sharp in the case of pure states