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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Sych, D. A Classical Analog of Random Quantum States. J Russ Laser Res 37, 556–561 (2016). https://doi.org/10.1007/s10946-016-9607-3
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DOI: https://doi.org/10.1007/s10946-016-9607-3