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A NEW ALGORITHM FOR THE TIME EVOLUTION OF QUANTUM TRAJECTORY SIMULATIONS AND PHYSICALLY MOTIVATED ERROR MODELS IN 1D QUANTUM CELLULAR AUTOMATA

McNally, Douglas M, II

Abstract Details

2014, Master of Science, Miami University, Physics.
Part I of this thesis discusses a modification of a Monte Carlo algorithm used for calculating the dynamics of open quantum systems. The essential change is using the direct solution to the Schrodinger equation (via matrix diagonalization) in lieu of numerical integration routines in order to simplify aspects of the algorithm. Part II is on the topic of 1-dimensional quantum cellular automata (QCA), which is a generalization of classical cellular automata (CA) and a possible platform for quantum computation and the simulation of various physical systems. Of particular interest to the work described herein is a paper by Brennen and Williams [Phys. Rev. A. 68, 042311 (2003)]. This is used as a starting point, and the mathematical framework they describe is convenient for the goal of this project, which is to add some physically realistic non-idealities including a simple decoherence model, timing errors, and pairwise interactions occurring during single-bit operations.
James Clemens (Advisor)
Perry Rice (Committee Member)
Samir Bali (Committee Member)
54 p.

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Citations

  • McNally, II, D. M. (2014). A NEW ALGORITHM FOR THE TIME EVOLUTION OF QUANTUM TRAJECTORY SIMULATIONS AND PHYSICALLY MOTIVATED ERROR MODELS IN 1D QUANTUM CELLULAR AUTOMATA [Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1407344625

    APA Style (7th edition)

  • McNally, II, Douglas. A NEW ALGORITHM FOR THE TIME EVOLUTION OF QUANTUM TRAJECTORY SIMULATIONS AND PHYSICALLY MOTIVATED ERROR MODELS IN 1D QUANTUM CELLULAR AUTOMATA. 2014. Miami University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=miami1407344625.

    MLA Style (8th edition)

  • McNally, II, Douglas. "A NEW ALGORITHM FOR THE TIME EVOLUTION OF QUANTUM TRAJECTORY SIMULATIONS AND PHYSICALLY MOTIVATED ERROR MODELS IN 1D QUANTUM CELLULAR AUTOMATA." Master's thesis, Miami University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=miami1407344625

    Chicago Manual of Style (17th edition)