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• W1633445618 abstract "We introduce the concept of quantum tensor product expanders. These generalize theconcept of quantum expanders, which are quantum maps that are efficient randomizersand use only a small number of Kraus operators. Quantum tensor product expandersact on several copies of a given system, where the Kraus operators are tensor products ofthe Kraus operator on a single system. We begin with the classical case, and show thata classical two-copy expander can be used to produce a quantum expander. We thendiscuss the quantum case and give applications to the Solovay-Kitaev problem. We giveprobabilistic constructions in both classical and quantum cases, giving tight bounds onthe expectation value of the largest nontrivial eigenvalue in the quantum case." @default.
• W1633445618 created "2016-06-24" @default.
• W1633445618 creator A5008766821 @default.
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• W1633445618 date "2009-03-01" @default.
• W1633445618 modified "2023-09-23" @default.
• W1633445618 title "Classical and quantum tensor product expanders" @default.
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• W1633445618 doi "https://doi.org/10.5555/2011781.2011790" @default.
• W1633445618 hasPublicationYear "2009" @default.
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