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Unification and the quantum hypothesis in 1900--1913
confirmation quantum hypothesis unification informational relevance Bayesian analysis
2016/6/14
In this paper, I consider some of the first appearances of a hypothesis of quantized energy between the years 1900 and 1913 and provide an analysis of the nature of the unificatory power of this hypot...
THE CHERNOFF LOWER BOUND FOR SYMMETRIC QUANTUM HYPOTHESIS TESTING
CHERNOFF LOWER BOUND SYMMETRIC QUANTUM HYPOTHESIS TESTING
2015/8/25
We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system...
Asymptotic Error Rates in Quantum Hypothesis Testing
Asymptotic Error Rates Quantum Hypothesis Testing
2015/8/25
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic expone...
Second Order Asymptotics for Quantum Hypothesis Testing
Second Order Asymptotics Quantum Hypothesis Testing
2012/9/18
In the asymptotic theory of quantum hypothesis testing, the error probability of the first kind jumps sharply from zero to one when the error exponent of the second kind passes by the point of the rel...