Continuous quantum computation: Difference between revisions

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==References==

*Bessen, A. J. (2005), A lower bound for phase estimation, Physical Review A, 71(4), 042313. Also [httphttps://arXiv.org/abs/quant-ph/0412008 arXiv:quant-ph/0412008].

*Heinrich, S. (2002), Quantum Summation with an Application to Integration, J. Complexity, 18(1), 1–50. Also [httphttps://arXiv.org/abs/quant-ph/0105116 arXiv:quant-ph/0105116].

*Heinrich, S. (2003), Quantum integration in Sobolev spaces, J. Complexity, 19, 19–42.

*Heinrich, S. (2004), Quantum Approximation I. Embeddings of Finite Dimensional <math>L_p</math> Spaces, J. Complexity, 20, 5–26. Also [httphttps://arXiv.org/abs/quant-ph/0305030 arXiv:quant-ph/0305030].

*Heinrich, S. (2004), Quantum Approximation II. Sobolev Embeddings, J. Complexity, 20, 27–45. Also [httphttps://arXiv.org/abs/quant-ph/0305031 arXiv:quant-ph/0305031].

*Jaksch, P. and Papageorgiou, A. (2003), Eigenvector approximation leading to exponential speedup of quantum eigenvalue calculation, Phys. Rev. Lett., 91, 257902. Also [httphttps://arXiv.org/abs/quant-ph/0308016 arXiv:quant-ph/0308016].

*Kacewicz, B. Z. (2005), Randomized and quantum solution of initial value problems, J. Complexity, 21, 740–756.

*Kwas, M., Complexity of multivariate Feynman–Kac Path Integration in Randomized and Quantum settings, 2004. Also [httphttps://arXiv.org/abs/quant-ph/0410134 arXiv:quant-ph/0410134].

*Novak, E. (2001), Quantum complexity of integration, J. Complexity, 17, 2–16. Also [httphttps://arXiv.org/abs/quant-ph/0008124 arXiv:quant-ph/0008124].

*Novak, E., Sloan, I. H., and Wozniakowski, H., Tractability of Approximation for Weighted Korobov Spaces on Classical and Quantum Computers, J. Foundations of Computational Mathematics, 4, 121-156, 2004. Also [httphttps://arXiv.org/abs/quant-ph/0206023 arXiv:quant-ph/0206023]

*Papageorgiou, A. and Wo´zniakowski, H. (2005), Classical and Quantum Complexity of the Sturm–Liouville Eigenvalue Problem, Quantum Information Processing, 4(2), 87–127. Also [httphttps://arXiv.org/abs/quant-ph/0502054 arXiv:quant-ph/0502054].

*Papageorgiou, A. and Wo´zniakowski, H. (2007), The Sturm–Liouville Eigenvalue Problem and NP-Complete Problems in the Quantum Setting with Queries, Quantum Information Processing, 6(2), 101–120. Also [httphttps://arXiv.org/abs/quant-ph/0504194 arXiv:quant-ph/0504194].

*Traub, J. F. and Woźniakowski, H. (20022006), PathThe integrationQuantum onSetting awith quantumRandomized computerQueries for Continuous Problems, Quantum Information Processing, 15(52), 365–388, 200283–130. Also [httphttps://arXiv.org/abs/quant-ph/01091130601196 arXiv:quant-ph/01091130601196].

*Woźniakowski, H. (2006), The Quantum Setting with Randomized Queries for Continuous Problems, Quantum Information Processing, 5(2), 83–130. Also [http://arXiv.org/abs/quant-ph/0601196 arXiv:quant-ph/0601196].

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