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» Quantum Search on Bounded-Error Inputs
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ICALP
2003
Springer
13 years 10 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 4 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 4 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
13 years 10 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
13 years 10 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...