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arXiv · 1504.06143

Quantum reverse hypercontractivity

Toby Cubitt·Michael Kastoryano·Ashley Montanaro·Kristan Temme
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Abstract

We develop reverse versions of hypercontractive inequalities for quantum channels. By generalizing classical techniques, we prove a reverse hypercontractive inequality for tensor products of qubit depolarizing channels. We apply this to obtain a rapid mixing result for depolarizing noise applied to large subspaces, and to prove bounds on a quantum generalization of non-interactive correlation distillation.

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Toby Cubitt, Michael Kastoryano, Ashley Montanaro, Kristan Temme. 2015-04-23. Quantum reverse hypercontractivity. https://doi.org/10.1063/1.4933219

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