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arXiv · 1709.08422

Martin-L\"of random quantum states

André Nies·Volkher Scholz
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Abstract

We extend the key notion of Martin-L\"of randomness for infinite bit sequences to the quantum setting, where the sequences become states of an infinite dimensional system. We work towards showing an analogy with the Levin-Schnorr theorem to characterise quantum ML-randomness of states by incompressibility (in the sense of quantum Turing machines) of all initial segments.

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André Nies, Volkher Scholz. 2017-09-25. Martin-L\"of random quantum states. https://arxiv.org/abs/1709.08422

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