No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Performance of 1D quantum cellular automata in the presence of error
J. Watrous, “On one-dimensional quantum cellular automata,” in Proceedings, 36th Annual Symposium on Foundations of Computer Science (IEEE, 1995) pp. 528–537.
A. Bisio, G. M. D. Ariano, and A. Tosini, “Dirac quantum cellular automaton in one dimension: Zitterbewegung and scattering from potential,” Phys. Rev. A 88, 032301 (2013).
A. Bisio, G. M. D’Ariano, and A. Tosini, “Quantum field as a quantum cellular automaton: The Dirac free evolution in one dimension,” Annals of Physics 354, 244–264 (2015).
K. Wiesner, “Quantum cellular automata,” in Computational Complexity, edited by R. A. Meyers (Springer, New York, 2012) pp. 2351–2360.
H. J. Carmichael, An Open Systems Approach to Quantum Optics, Lecture Notes in Physics, New Series: Monographs, Vol. m18 (Springer, Berlin, 1993).
H. J. Carmichael, Statistical Methods in Quantum Optics 2: Non-Classical Fields (Springer-Verlag, 2008).
G. K. Brennen, Eq. 7 in Ref. 11 has a typographical error. Our Eq. 19 is based on the corrected update rule, private communication (2014).
J. R. Johansson, P. D. Nation, and F. Nori, “Qutip: An open-source python framework for the dynamics of open quantum systems,” Comp. Phys. Comm. 183, 1760–1772 (2012).
Article metrics loading...
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.
Full text loading...
Most read this month