Quantum reverse hypercontractivity

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4933219· OSTI ID:22479541

Cubitt, Toby ^[1]; Kastoryano, Michael ^[2]; Montanaro, Ashley ^[3]; Temme, Kristan ^[4]

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1. Department of Computer Science, University College London, London, United Kingdom and Centre for Quantum Information and Foundations, DAMTP, University of Cambridge, Cambridge (United Kingdom)
2. NBIA, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen (Denmark)
3. School of Mathematics, University of Bristol, Bristol (United Kingdom)
4. Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125 (United States)

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.

• OSTI ID: 22479541
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATIONS
NOISE
QUANTUM MECHANICS
TENSORS