Exponential Separation of Quantum and Classical One-Way Communication Complexity for a Boolean Function

Details Exponential Separation of Quantum and Classical One-Way Communication Complexity for a Boolean Function Exponential Separation of Quantum and Classical One-Way Communication Complexity for a Boolean Function

2006-07-25

arxiv.org/abs/quant-ph/0607174v1

Physics

Quantum Physics

8 pages, no figures

Scientific paper

We give an exponential separation between one-way quantum and classical communication complexity for a Boolean function. Earlier such a separation was known only for a relation. A very similar result was obtained earlier but independently by Kerenidis and Raz [KR06]. Our version of the result gives an example in the bounded storage model of cryptography, where the key is secure if the adversary has a certain amount of classical storage, but is completely insecure if he has a similar amount of quantum storage.

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