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Quantum simulation of the tunnel effect

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Języki publikacji
EN
Abstrakty
EN
In this paper, we examine whether a quantum computer can efficiently simulate quantum processes such as the tunnel effect. We examine a quantum algorithm that calculates the value of transition and reflection coefficients for the Gaussian wave packet scattered on a rectangular potential. We compare the results obtained in this way with the results of classical simulations and analytical calculations.
Rocznik
Strony
379--383
Opis fizyczny
Bibliogr. 19 poz., rys., tab., wykr.
Twórcy
autor
  • Institute of Information Technology FTIMS, Technical University of Łodź, 215 Wólczańska St., 90-924 Łódź, Poland
Bibliografia
  • [1] R. Feynman, “Internat”, J. Theor. Phys. 21, 467-488 (1982).
  • [2] M. Twardy and D. Olszewski, “Realization of controlled NOT quantum gate via control of a two spin system”, Bull. Pol. Ac.: Tech. 61 (2), 379-390 (2013).
  • [3] P.W. Shor, “Algorithms for quantum computation quantum”, Proc. 35th Ann. Symp. Found. Comp. Sci., IEEE Comp.Soc. Pr. 35, 124-134 (1994).
  • [4] L.K. Grover, “From Schr¨odinger equation to the quantum search algorithm”, Am. J. Phys. 69, 769-777 (2001).
  • [5] G. Nimtz, “On superluminal tunneling”, Progress in Quantum Electronics 27, 417-450 (2003).
  • [6] G. Nimtz and A. Haibel, Zero Time Space. How Quantum Tunneling Broke the Light Speed Barier, Wiley-VCH Verlag, Weinheim, 2008.
  • [7] M. Ostrowski, “Quantum simulation of particle scattered by a rectangular potential”, J. Applied Comp. Sci. 20 (2), 95-106 (2012).
  • [8] M. Ostrowski, “Quantum simulaton of the Pauli particle”, Przegląd Elektrotech. 89 (7), 89-91 (2013), ISSN 0033-2097.
  • [9] J. Yepez, B. Boghosian, “An efficient and accurate quantum lattice-gas model for the many-body Schr¨odinger wave equation”, Comp. Phys. Commun. 146, 280-294 (2002).
  • [10] J. Yepez, G. Vahala, and L. Vahala, Quant. Inf. Proc. 4 (6), 457-469 (2006).
  • [11] S. Wiesner, “Simulation of many-body quantum systems by a quantum computer”, http://xxx.lanl.gov/quant-ph/9603028.
  • [12] C. Zalka, “Efficient simulation of quantum system by quantum computers”, Fortschr. Phys. 46, 877-879 (1998).
  • [13] G. Strini, “Error sensitivity of a quantum simulator I: a first example”, Fortschr. Phys. 50, 171-183 (2002).
  • [14] G. Benenti, G. Strini, “Quantum simulation of the singleparticle Schr¨odinger equation”, http://xxx.lanl.gov/arXiv:0709.1704v2.
  • [15] M. Sawerwain and J. Pilecki, “Parallel implementation of a quantum computing simulator”, J. Applied Computer Science 14 (2), 79-89 (2006).
  • [16] J.A. Miszczak, “Models of quantum computation and quantum programming languages”, Bull. Pol. Ac.: Tech. 59 (3), 305-324 (2011).
  • [17] M. Ostrowski, “Loading initial data into the quantum register”, SMC (2013), (not published).
  • [18] L.I. Shiff, Quantum Mechanics, McGraw-Hill, New York, 1968.
  • [19] W. Saleida, M.H. Tyc, and M. Just, Algebraic Methods of Solving the Schr¨odinger’s Equation, PWN, Warsaw, 2002. Bull.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a7773cde-7f2f-4e37-8473-53e643fb5a1b
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