Performance of 1D quantum cellular automata in the presence of error

This work expands a previous block-partitioned quantum cellular automata (BQCA) model proposed by Brennen and Williams [Phys. Rev. A. 68, 042311 (2003)] to incorporate physically realistic error models. These include timing errors in the form of over- and under-rotations of quantum states during com...

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Main Authors: Douglas M. McNally, James P. Clemens
Format: Article
Language:English
Published: AIP Publishing LLC 2016-09-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4963300
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author Douglas M. McNally
James P. Clemens
author_facet Douglas M. McNally
James P. Clemens
author_sort Douglas M. McNally
collection DOAJ
description This work expands a previous block-partitioned quantum cellular automata (BQCA) model proposed by Brennen and Williams [Phys. Rev. A. 68, 042311 (2003)] to incorporate physically realistic error models. These include timing errors in the form of over- and under-rotations of quantum states during computational gate sequences, stochastic phase and bit flip errors, as well as undesired two-bit interactions occurring during single-bit gate portions of an update sequence. A compensation method to counteract the undesired pairwise interactions is proposed and investigated. Each of these error models is implemented using Monte Carlo simulations for stochastic errors and modifications to the prescribed gate sequences to account for coherent over-rotations. The impact of these various errors on the function of a QCA gate sequence is evaluated using the fidelity of the final state calculated for four quantum information processing protocols of interest: state transfer, state swap, GHZ state generation, and entangled pair generation.
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spelling doaj.art-4ebf5d7b7b9244a18d7d306e2e3054742022-12-22T01:59:44ZengAIP Publishing LLCAIP Advances2158-32262016-09-0169095115095115-1410.1063/1.4963300060609ADVPerformance of 1D quantum cellular automata in the presence of errorDouglas M. McNally0James P. Clemens1Department of Physics, Miami University, Oxford, Ohio 45056, USADepartment of Physics, Miami University, Oxford, Ohio 45056, USAThis work expands a previous block-partitioned quantum cellular automata (BQCA) model proposed by Brennen and Williams [Phys. Rev. A. 68, 042311 (2003)] to incorporate physically realistic error models. These include timing errors in the form of over- and under-rotations of quantum states during computational gate sequences, stochastic phase and bit flip errors, as well as undesired two-bit interactions occurring during single-bit gate portions of an update sequence. A compensation method to counteract the undesired pairwise interactions is proposed and investigated. Each of these error models is implemented using Monte Carlo simulations for stochastic errors and modifications to the prescribed gate sequences to account for coherent over-rotations. The impact of these various errors on the function of a QCA gate sequence is evaluated using the fidelity of the final state calculated for four quantum information processing protocols of interest: state transfer, state swap, GHZ state generation, and entangled pair generation.http://dx.doi.org/10.1063/1.4963300
spellingShingle Douglas M. McNally
James P. Clemens
Performance of 1D quantum cellular automata in the presence of error
AIP Advances
title Performance of 1D quantum cellular automata in the presence of error
title_full Performance of 1D quantum cellular automata in the presence of error
title_fullStr Performance of 1D quantum cellular automata in the presence of error
title_full_unstemmed Performance of 1D quantum cellular automata in the presence of error
title_short Performance of 1D quantum cellular automata in the presence of error
title_sort performance of 1d quantum cellular automata in the presence of error
url http://dx.doi.org/10.1063/1.4963300
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