Quantum and Classical Communication-Space Tradeoffs from Rectangle Bounds

Abstract

We derive lower bounds for tradeoffs between the communication C and space S for communicating circuits. The first such bound applies to quantum circuits. If for any problem f : X × Y → Z the multicolor discrepancy of the communication matrix of f is 1/2, then any bounded error quantum protocol with space S, in which Alice receives some l inputs, Bob r… (More)
DOI: 10.1007/978-3-540-30538-5_32

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