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» Quantum lower bounds for the Goldreich-Levin problem
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CORR
2010
Springer
147views Education» more  CORR 2010»
14 years 8 months ago
Strong direct product theorems for quantum communication and query complexity
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
Alexander A. Sherstov
78
Voted
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
15 years 1 months ago
Quantum Entanglement and the Communication Complexity of the Inner Product Function
Abstract. We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of partic...
Richard Cleve, Wim van Dam, Michael Nielsen, Alain...
FOCS
2006
IEEE
15 years 3 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
FOCS
2003
IEEE
15 years 2 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
COCO
2005
Springer
110views Algorithms» more  COCO 2005»
15 years 3 months ago
Prior Entanglement, Message Compression and Privacy in Quantum Communication
Consider a two-party quantum communication protocol for computing some function f : {0, 1}n × {0, 1}n → Z. We show that the first message of P can be compressed to O(k) classi...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen