Czasopismo
2012
|
Vol. 20, nr 2
|
95-106
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this paper we examine whether a quantum computer can efficiently simulate time evolution of a one dimensional Schrödinger particle. Two cases are considered: free particle and particle dispersed on a rectangular potential. In order to simulate the Schrödinger particle, we use a quantum algorithm based on the procedure of diagonalisation of time evolution operator. The procedure of diagonalisation is based on the Quantum Fourier Transform (QFT) algorithm. The effects of simulation are presented in the form of figures. We also compare the results obtained from quantum algorithm with the results of classical simulations (Cayley's method).
Czasopismo
Rocznik
Tom
Strony
95-106
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Lodz University of Technology, Institute of Information Technology, Wolczanska 215, 90-924 Lodz, Poland, marcin.ostrowski@p.lodz.pl
Bibliografia
- [1] Feynman, R., Internat. J. Theor. Phys., Vol. 21, 1982, pp. 467–488.
- [2] Shor, P. W., Proc 35th Ann. Symp. Found. Comp. Sci., IEEE Comp.Soc. Pr., Vol. 124, 1994.
- [3] Grover, L. K., From Schrodinger equation to the quantum search algorithm, Am. J. Phys., Vol. 69, 2001, pp. 769–777.
- [4] De Raedt, K., Michielsen, K., De Raedt, H., Trieu, B., Arnold, G., Richter, M., Lippert, T., Watanabe, H., and Ito, N., Massively Parallel Quantum Computer Simulator, Computer Physics Communications, Vol. 176, 2007, pp. 121–136.
- [5] Niwa, J., Matsumoto, K., and Imai, H., General-Purpose Paralel Simulator for Quantum Computing, Phys. Rev. A, Vol. 66(6), 2002, pp. 623171–62317111.
- [6] Sawerwain, M. and Pilecki, J., Parallel implementation of a quantum computing simulator, Journal of Applied Computer Science, Vol. 14, No. 2, 2006.
- [7] NVIDIA CUDA Homepage, http: // developer.nvidia.com / object / cuda.html.
- [8] Touchette, H. and Dumai, P., QuCalc The quantum computation package for Mathematica, http: // crypto.cs.mcgill.ca / QuCalc /, 2000.
- [9] Miszczak, J. A., Models of quantum computation and quantum programming languages, Bulletin of The Polish Academy of Sciences, Technical Sciences, Vol. 59, No. 3, 2011.
- [10] Wiesner, S., Simulation of many-body quantum systems by a quantum computer, http: // xxx.lanl.gov / quant-ph / 9603028.
- [11] Zalka, C., Efficient simulation of quantum system by quantum computers, Fortschr. Phys., Vol. 46, 1998, pp. 877–879.
- [12] Strini, G., Error sensitivity of a quantum simulator I: a first example, Fortschr. Phys., Vol. 50, 2002, pp. 171–183.
- [13] Benenti, G. and Strini, G., Quantum simulation of the single-particle Schrodinger equation, http: // xxx.lanl.gov / arXiv:0709.1704v2.
- [14] Preskill, J., http: // www.theory.caltech.edu / preskill / ph229.
- [15] Hirvensalo, M., Quantum Computing, Springer-Verlag Berlin Heidelberg, 2001 and 2003.
- [16] Saleida, W., Tyc, M. H., and Just, M., Algebraiczne metody rozwiazywania rownania Schrodingera, PWN Warszawa, 2002
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-LODD-0002-0007