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» Quantum Search on Bounded-Error Inputs
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ICALP
2003
Springer
14 years 2 months ago
Quantum Search on Bounded-Error Inputs
Suppose we have n algorithms, quantum or classical, each computing some bit-value with bounded error probability. We describe a quantum algorithm that uses O( √ n) repetitions of...
Peter Høyer, Michele Mosca, Ronald de Wolf
ENGL
2008
170views more  ENGL 2008»
13 years 9 months ago
Design of Reversible/Quantum Ternary Comparator Circuits
Multiple-valued quantum circuits are promising choices for future quantum computing technology, since the multiple-valued quantum system is more compact than the corresponding bina...
Mozammel H. A. Khan
CORR
1998
Springer
106views Education» more  CORR 1998»
13 years 9 months ago
Lower Bounds for Quantum Search and Derandomization
We prove lower bounds on the error probability of a quantum algorithm for searching through an unordered list of N items, as a function of the number T of queries it makes. In par...
Harry Buhrman, Ronald de Wolf
ICALP
2003
Springer
14 years 2 months ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
ICALP
2004
Springer
14 years 2 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...