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2008

Wavefunction preparation and resampling using a quantum computer

Kitaev, Alexei, Webb, William A.

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We present an algorithm that prepares multidimensional Gaussian wavefunctions on qubit arrays and an application of such wavefunctions to multidimensional resampling, a technique useful in quantum digital simulation.

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P. W. Shor. Algorithms for Quantum Computation: Discrete Logarithms and Factoring. IN Proceedings, 35th Annual Symposium on Foundations of Computer Science, IEEE Press, Los Alamitos, CA, 1994
1994
Earlier work this paper cites.
L. K. Grover. Quantum Mechanics Helps in Searching for a Needle in a Haystack. Phys. Rev. Lett.,79(2):325, 1997
1997
Earlier work this paper cites.

Similar

K. Ireland, M. Rosen. A Classical Introduction to Modern Number Theory. Graduate Texts in Mathematics, v. 84. Springer, 1998 (2nd edition)
1998
Cited alongside, same era.
L. K. Grover, T. Rudolph. Creating superpositions that correspond to efficiently integrable probability distributions. quant-ph/0208112
Original
Cited in the paper.

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A. Yu Kitaev, A. H. Shen, M. N. Vyalyi. Classical and Quantum Computation. Graduate Studies in Mathematics, v. 47. American Mathematical Society, 2002
2002
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