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- W2968169403 abstract "We introduce notions of algorithmic mutual information and deficiency of randomness of quantum states. These definitions enjoy conservation inequalities over unitary transformations and partial traces. We show that a large majority of pure states have minute self-algorithmic information. We provide an algorithmic variant to the no-cloning theorem, by showing that only a small minority of quantum pure states can clone a nonnegligible amount of algorithmic information. We also provide a chain rule inequality for quantum algorithmic entropy. We show that deficiency of randomness does not increase under POVM measurements." @default.
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- W2968169403 date "2019-09-01" @default.
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- W2968169403 title "Algorithmic No-Cloning Theorem" @default.
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- W2968169403 doi "https://doi.org/10.1109/tit.2019.2910562" @default.
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