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- W2949636467 abstract "Alice and Bob want to know if two strings of length n are almost equal. That is, do they differ on textit{at most} a bits? Let 0leq aleq n-1. We show that any deterministic protocol, as well as any error-free quantum protocol (C* version), for this problem requires at least n-2 bits of communication. We show the same bounds for the problem of determining if two strings differ in exactly a bits. We also prove a lower bound of n/2-1 for error-free Q* quantum protocols. Our results are obtained by lower-bounding the ranks of the appropriate matrices." @default.
- W2949636467 created "2019-06-27" @default.
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- W2949636467 date "2004-11-20" @default.
- W2949636467 modified "2023-10-14" @default.
- W2949636467 title "Lower bounds on the Deterministic and Quantum Communication Complexity of Hamming Distance" @default.
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