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

Dmytro Gavinsky·Julia Kempe·Ronald de Wolf
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Abstract

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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Dmytro Gavinsky, Julia Kempe, Ronald de Wolf. 2006-07-25. Exponential Separation of Quantum and Classical One-Way Communication Complexity for a Boolean Function. https://arxiv.org/abs/quant-ph/0607174

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