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ICALP
2005
Springer
15 years 8 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
126
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ICALP
2004
Springer
15 years 8 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»
15 years 7 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...
FOCS
2009
IEEE
15 years 10 months ago
Two-Message Quantum Interactive Proofs Are in PSPACE
We prove that QIP(2), the class of problems having two-message quantum interactive proof systems, is a subset of PSPACE. This relationship is obtained by means of an efficient pa...
Rahul Jain, Sarvagya Upadhyay, John Watrous
PPL
2010
118views more  PPL 2010»
15 years 1 months ago
Coping with Decoherence: Parallelizing the Quantum Fourier Transform
Rank-varying computational complexity describes those computations in which the complexity of executing each step is not a constant, but evolves throughout the computation as a fu...
Marius Nagy, Selim G. Akl