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Improved Quantum Communication Complexity Bounds for Disjointness and Equality | | Peter Hoyer
; Ronald de Wolf
; | | Date: |
14 Sep 2001 | | Subject: | Quantum Physics; Computational Complexity | quant-ph cs.CC | | Affiliation: | U Calgary) and Ronald de Wolf (CWI, Amsterdam | | Abstract: | We prove new bounds on the quantum communication complexity of the disjointness and equality problems. For the case of exact and non-deterministic protocols we show that these complexities are all equal to n+1, the previous best lower bound being n/2. We show this by improving a general bound for non-deterministic protocols of de Wolf. We also give an O(sqrt{n}c^{log^* n})-qubit bounded-error protocol for disjointness, modifying and improving the earlier O(sqrt{n}log n) protocol of Buhrman, Cleve, and Wigderson, and prove an Omega(sqrt{n}) lower bound for a large class of protocols that includes the BCW-protocol as well as our new protocol. | | Source: | arXiv, quant-ph/0109068 | | Services: | Forum | Review | PDF | Favorites | |
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