The Need for Structure in Quantum Speedups

by Scott Aaronson and Andris Ambainis

Theory of Computing, Volume 10(6), pp. 133-166, 2014

Bibliography with links to cited articles

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[2]   Scott Aaronson: BQP and the polynomial hierarchy. In Proc. 42nd STOC, pp. 141–150. ACM Press, 2010. See expanded version in ECCC 2009. [doi:10.1145/1806689.1806711]

[3]   Scott Aaronson and Andris Ambainis: The need for structure in quantum speedups. In Proc. 2nd Innovations in Computer Science Conference (ICS’11), pp. 338–352, 2011. (Tsinghua). [arXiv:0911.0996]

[4]   Scott Aaronson and Yaoyun Shi: Quantum lower bounds for the collision and the element distinctness problems. J. ACM, 51(4):595–605, 2004. Preliminary versions by Aaronson in STOC’02 (item [1]) and by Shi in FOCS’02. [doi:10.1145/1008731.1008735]

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[7]   Andris Ambainis and Ronald de Wolf: Average-case quantum query complexity. Journal of Physics A: Mathematical and General, 34(35):6741, 2001. Preliminary version in STACS’00. [doi:10.1088/0305-4470/34/35/302, arXiv:quant-ph/9904079]

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[25]   Gatis Midrijanis: A polynomial quantum query lower bound for the set equality problem. In Proc. 31th Internat. Colloq. on Automata, Languages and Programming (ICALP’04), pp. 996–1005. Springer, 2004. [doi:10.1007/978-3-540-27836-8_83]

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[28]   Ryan O’Donnell and Rocco A. Servedio: New degree bounds for polynomial threshold functions. Combinatorica, 30(3):327–358, 2010. Preliminary version in STOC’03. [doi:10.1007/s00493-010-2173-3]

[29]   Yaoyun Shi: Lower bounds of quantum black-box complexity and degree of approximating polynomials by influence of Boolean variables. Inform. Proc. Lett., 75(1-2):79–83, 2000. [doi:10.1016/S0020-0190(00)00069-7, arXiv:quant-ph/9904107]

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