On Error Exponents in Quantum Hypothesis Testing

Details On Error Exponents in Quantum Hypothesis Testing On Error Exponents in Quantum Hypothesis Testing

2002-06-21

arxiv.org/abs/quant-ph/0206151v3

Physics

Quantum Physics

13 pages, 2 figures, submitted to IEEE trans. Inform. Theory

Scientific paper

In the simple quantum hypothesis testing problem, upper bounds on the error probabilities are shown based on a key operator inequality between a density operator and its pinching. Concerning the error exponents, the upper bounds lead to a noncommutative analogue of the Hoeffding bound, which is identical with the classical counter part if the hypotheses, composed of two density operators, are mutually commutative. The upper bounds also provide a simple proof of the direct part of the quantum Stein's lemma.

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