Simulation of quantum resonance in the quantum register

• Autorzy: Ostrowski M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we examine whether a quantum computer can efficiently simulate resonant interaction between a pair of two-level quantum systems. We present an algorithm for simulating time evolution of such a system, implemented on standard two-input gates. We study the influence of accuracy of gates and decoherence on the quality of results.

Słowa kluczowe

EN

quantum computations; quantum simulation; quantum resonance

PL

obliczenia kwantowe; symulacje kwantowe; rezonans kwantowy

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Journal of Applied Computer Science
• Rocznik: 2018
• Tom: Vol. 26, nr 1
• Strony: 63--72
• Opis fizyczny: Bibliogr. 11 poz., rys., wykr.

Twórcy

autor

Ostrowski M.

• Institute of Information Technology, Lodz University of Technology, ul. Wólczańska 215, 90-924 Łódź, Poland

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 Schrödinger equation to the quantum search algorithm, Am. J. Phys., Vol. 69, 2001, pp. 769-777.
• [4] Ostrowski, M., Quantum simulation of particle scattered by a rectangular potential, Journ. of Applied Comp. Sci., Vol. 20, No. 2, 2012.
• [5] Ostrowski, M., Quantum Simulation of the Tunnel Effect, Bulletin of the Polish Academy of Sciences Technical Sciences, Vol. 63, No. 2, 2015, pp. 379-383.
• [6] Ostrowski, M., Quantum simulaton of the Pauli Particle, Przeglad Elektrotechniczny, ISSN 0033-2097, Vol. 89, No. 7, 2013.
• [7] Ostrowski, M., Quantum simulation of the Dirac Particle, Open Systems & Information Dynamics, Vol. 22, No. 1, 2015, pp. 1550002.
• [8] Warren, W. S., The usefulness of NMR quantum computing, Science, Vol. 277, No. 5332, 1997, pp. 1688-168.
• [9] Zalka, C., Efficient simulation of quantum system by quantum computers, Fortschr. Phys., Vol. 46, 1998, pp. 877-879.
• [10] Strini, G., Error sensitivity of a quantum simulator I: a first example, Fortschr. Phys., Vol. 50, 2002, pp. 171-183.
• [11] Sawerwain, M. and Pilecki, J., Parallel implementation of a quantum computing simulator, Journal of Applied Computer Science, Vol. 14, No. 2, 2006.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).