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» An Introduction to Quantum Computing
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FCT
2007
Springer
14 years 2 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
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
COCO
2004
Springer
82views Algorithms» more  COCO 2004»
14 years 1 months ago
On the Power of Quantum Proofs
We study the power of quantum proofs, or more precisely, the power of Quantum MerlinArthur (QMA) protocols, in two well studied models of quantum computation: the black box model ...
Ran Raz, Amir Shpilka
ICALP
2004
Springer
14 years 1 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...
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
14 years 22 hour 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...