Qudit quantum computation in the Jaynes-Cummings model

Qudit quantum computation in the Jaynes-Cummings model 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. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1055 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Qudit quantum computation in the Jaynes-Cummings model

Physical Review A, Volume 87 (2) – Feb 27, 2013
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Publisher
American Physical Society (APS)
Copyright
©2013 American Physical Society
ISSN
1050-2947
D.O.I.
10.1103/PhysRevA.87.022341
Publisher site
See Article on Publisher Site

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. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1055 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.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Feb 27, 2013

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