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We present quantum query complexity bounds for testing algebraic properties.
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A. Ambainis, Quantum walks and their algorithmic applications
2003
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2003
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J. Kempe, N. Shenvi, K.B. Whaley, Quantum Random-Walk Search Algorithm
2003
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A. Ambainis, Quantum walk algorithm for element distinctness , Proceedings of FOCS’04: pages 22-31, 2004
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C. Dürr, M. Heiligman, P. Høyer, M. Mhalla, Quantum query complexity of some graph problems
2004
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F. Magniez, A. Nayak, Quantum complexity of testing group commutativity
2005
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F. Magniez, M. Santha, M. Szegedy, Quantum Algorithms for the Triangle Problem , Proceedings of SODA’05: pages 1109-1117, 2005
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A. Ambainis, R. Špalek, Quantum Algorithms for Matching and Network Flows , Proceedings of STACS’06, 2006
2006
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H. Buhrman, R. Špalek, Quantum Verification of Matrix Products
2006
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S. Dörn, Quantum Complexity Bounds of Independent Set Problems
2007
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S. Dörn, Quantum Algorithms for Graph Traversals and Related Problems
2007
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M. Szegedy, Quantum speed-up of markov chain based algorithms
2004
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A. Ambainis, Quantum Search Algorithms
2005
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F. Magniez, A. Nayak, J. Roland, M. Santha, Search via Quantum Walk
2007
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