Quantum reverse hypercontractivity

Toby Cubitt, Michael Kastoryano, Ashley Montanaro, Kristan Temme

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)
320 Downloads (Pure)

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.
Original languageEnglish
Article number102204
Number of pages11
JournalJournal of Mathematical Physics
Volume56
Issue number10
DOIs
Publication statusPublished - 19 Oct 2015

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