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We study quantum algorithms for testing bipartiteness and expansion of bounded-degree graphs.
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C. Durr, M. Heiligman, P. Hoyer, and M. Mhalla. Quantum query complexity of some graph problems. SIAM J. on Computing 35 (6):1310-1328, 2006
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A. Ambainis. Quantum walk algorithm for element distinctness. SIAM J. on Computing 37 (1):210-239, 2007
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A. Atici and R. Servedio. Quantum algorithms for learning and testing juntas. Quantum Information Processing 6 (5):323-348, 2007
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A. Czumaj and C. Sohler. Testing expansion in bounded-degree graphs. In FOCS, pages 570-578. 2007
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P. Hoyer, T. Lee, and R. Spalek. Negative weights make adversaries stronger. In STOC, pages 526-535. 2007
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S. Kale and C. Seshadhri. Testing expansion in bounded-degree graphs, 2007. ECCC report TR07-076
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S. Aaronson. BQP and the polynomial hierarchy. In STOC, pages 141-150. 2010
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S. Bravyi, A. W. Harrow, and A. Hassidim. Quantum algorithms for testing properties of distributions. In STACS, pages 131-142, 2010
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S. Chakraborty, E. Fischer, A. Matsliah, and R. de Wolf. New results on quantum property testing. In FSTTCS, pages 145-156. 2010
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A. Nachmias and A. Shapira. Testing the expansion of a graph. Information and Computation 208:309-314, 2010
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S. Aaronson and A. Ambainis. The need for structure in quantum speedups. In Innovations in Computer Science, pages 338-352. 2011
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A. M. Childs and R. Kothari. Quantum query complexity of minor-closed graph properties. In STACS, pages 661-672. 2011
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