Qudit quantum computation in the Jaynes-Cummings model

Brian Mischuck and Klaus Mølmer
Phys. Rev. A 87, 022341 – Published 27 February 2013

Abstract

We have developed methods for performing qudit quantum computation in the Jaynes-Cummings model with the qudits residing in a finite subspace of individual harmonic oscillator modes, resonantly coupled to a spin-1/2 system. The first method determines analytical control sequences for the one- and two-qudit gates necessary for universal quantum computation by breaking down the desired unitary transformations into a series of state preparations implemented with the Law-Eberly scheme [Law and Eberly, Phys. Rev. Lett. 76, 1055 (1996)]. The second method replaces some of the analytical pulse sequences with more rapid numerically optimized sequences. In our third approach, we directly optimize the evolution of the system, without making use of any analytic techniques. While limited to smaller dimensional qudits, the third approach finds pulse sequences which carry out the desired gates in a time which is much shorter than either of the other two approaches.

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  • Received 18 October 2012

DOI:https://doi.org/10.1103/PhysRevA.87.022341

©2013 American Physical Society

Authors & Affiliations

Brian Mischuck* and Klaus Mølmer

  • Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark

  • *brianm@phys.au.dk

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Issue

Vol. 87, Iss. 2 — February 2013

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