A Classical Analog of Random Quantum States |
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Authors: | Denis Sych |
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Institution: | 1.Max Planck Institute for the Science of Light,Erlangen,Germany |
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Abstract: | We examine the statistical properties of a pure quantum state randomly chosen with respect to the uniform measure in a Hilbert space. Namely, we consider the distribution of outcomes of a fixed measurement performed on the random quantum state. We show that such distribution is completely analogous to the distribution of measurement outcomes of an a priori unknown classical random system. In particular, Shannon entropies of both distributions coincide. We study this correspondence between quantum and classical random systems and clarify its origin. |
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