### Abstract

We give an exponential separation between one-way quantum and classical communication protocols for twopartial Boolean functions, both of which are variants of the Boolean Hidden Matching Problem of Bar-Yossef et al. Earlier such an exponential separation was known only for a relational version of the Hidden Matching Problem. Our proofs use the Fourier coefficients inequality of Kahn, Kalai, and Linial. We give a number of applications of this separation. In particular, in the bounded-storage model of cryptography we exhibita scheme that is secure against adversaries with a certain amount of classical storage, but insecure against adversaries with a similar (or even much smaller) amount of quantum storage; in the setting of privacy amplification, we show that there are strong extractors that yield a classically secure key, but are insecure against a quantum adversary.

Original language | English (US) |
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Title of host publication | STOC'07 |

Subtitle of host publication | Proceedings of the 39th Annual ACM Symposium on Theory of Computing |

Pages | 516-525 |

Number of pages | 10 |

DOIs | |

State | Published - 2007 |

Event | STOC'07: 39th Annual ACM Symposium on Theory of Computing - San Diego, CA, United States Duration: Jun 11 2007 → Jun 13 2007 |

### Publication series

Name | Proceedings of the Annual ACM Symposium on Theory of Computing |
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ISSN (Print) | 0737-8017 |

### Other

Other | STOC'07: 39th Annual ACM Symposium on Theory of Computing |
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Country | United States |

City | San Diego, CA |

Period | 6/11/07 → 6/13/07 |

### Keywords

- Communication complexity
- Cryptography
- Quantum

### ASJC Scopus subject areas

- Software

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## Cite this

*STOC'07: Proceedings of the 39th Annual ACM Symposium on Theory of Computing*(pp. 516-525). (Proceedings of the Annual ACM Symposium on Theory of Computing). https://doi.org/10.1145/1250790.1250866