References & Citations
Quantum Physics
Title: Verifying randomness in sets of quantum states via observables
(Submitted on 24 Apr 2024)
Abstract: We present a metric, average randomness, that predicts the compatibility of a set of quantum states with the Haar-random distribution, by matching of statistical moments, through a known quantum observable. We show that Haar-randomness is connected to the Dirichlet distribution, and provide a closed-form expression, and simple bounds of the statistical moments. We generalize this metric to permutation- and unitary-equivalent observables, ensuring that if the extended average randomness is compatible with a Haar-random distribution, then the set of states is approximately Haar-random.
Submission history
From: Xavier Bonet-Monroig [view email][v1] Wed, 24 Apr 2024 21:11:58 GMT (18kb,D)
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