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• W3099721694 abstract "Hypercontractive inequalities have become important tools in theoretical computer science and have recently found applications in quantum computation. In this note we discuss how hypercontractive inequalities, in various settings, can be used to obtain (fairly) concise proofs of several results in quantum information theory: a recent lower bound of Lancien and Winter on the bias achievable by local measurements which are 4-designs; spectral concentration bounds for k-local Hamiltonians; and a recent result of Pellegrino and Seoane-Sepulveda giving general lower bounds on the classical bias obtainable in multiplayer XOR games." @default.
• W3099721694 created "2020-11-23" @default.
• W3099721694 creator A5023685398 @default.
• W3099721694 date "2012-12-01" @default.
• W3099721694 modified "2023-10-09" @default.
• W3099721694 title "Some applications of hypercontractive inequalities in quantum information theory" @default.
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• W3099721694 doi "https://doi.org/10.1063/1.4769269" @default.
• W3099721694 hasPublicationYear "2012" @default.
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