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Quantum random numbers

Rudiger Schack ( Royal Holloway, London )

In precisely what way are random numbers generated by a quantum device superior to classically generated random numbers? This talk establishes that properties of the generated string such as its algorithmic complexity are not directly relevant to this question, and then shows that any answer to this question must depend on the interpretation of probabilities, and thus on the interpretation of quantum states. Most authors interpret probabilities derived from quantum states as objective. The talk explains why the objectivist approach is unlikely to provide insight into the nature of quantum random numbers. Alternatively, quantum states can be interpreted in a subjectivist way as representing Bayesian degrees of belief. Within the subjectivist approach, one can formulate and prove a theorem that captures in a precise way what is uniquely quantum about quantum random numbers.

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