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» Quantum lower bound for the collision problem
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COCO
2005
Springer
110views Algorithms» more  COCO 2005»
14 years 1 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
STOC
2009
ACM
107views Algorithms» more  STOC 2009»
14 years 8 months ago
Efficient discrete-time simulations of continuous-time quantum query algorithms
The continuous-time query model is a variant of the discrete query model in which queries can be interleaved with known operations (called "driving operations") continuo...
Richard Cleve, Daniel Gottesman, Michele Mosca, Ro...
ICALP
2005
Springer
14 years 1 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 2 months 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
STOC
1998
ACM
112views Algorithms» more  STOC 1998»
13 years 11 months ago
Quantum Circuits with Mixed States
Current formal models for quantum computation deal only with unitary gates operating on “pure quantum states”. In these models it is difficult or impossible to deal formally w...
Dorit Aharonov, Alexei Kitaev, Noam Nisan