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» A lower bound for the Sturm-Liouville eigenvalue problem on ...
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FOCS
2003
IEEE
13 years 11 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»
13 years 11 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
ICALP
2005
Springer
13 years 11 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
FOCS
2008
IEEE
14 years 6 days ago
The Bayesian Learner is Optimal for Noisy Binary Search (and Pretty Good for Quantum as Well)
We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: • Each comparison is erroneous with independent probability 1 − p. ...
Michael Ben-Or, Avinatan Hassidim
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
13 years 10 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...