Spin-orbit coupling and time-reversal symmetry in quantum gates

Stepanenko, D. and Bonesteel, N. E. and DiVincenzo, D. P. and Burkard, G. and Loss, D.. (2003) Spin-orbit coupling and time-reversal symmetry in quantum gates. Physical Review B, Vol. 68, H. 11 , 115306, 9 S..

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Official URL: http://edoc.unibas.ch/dok/A5254693

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We study the effect of spin-orbit coupling on quantum gates produced by pulsing the exchange interaction between two single-electron quantum dots. Spin-orbit coupling enters as a small spin precession when electrons tunnel between dots. For adiabatic pulses the resulting gate is described by a unitary operator acting on the four-dimensional Hilbert space of two qubits. If the precession axis is fixed, time-symmetric pulsing constrains the set of possible gates to those which, when combined with single qubit rotations, can be used in a simple controlled-NOT construction. Deviations from time-symmetric pulsing spoil this construction. The effect of time asymmetry is studied by numerically integrating the Schrodinger equation using parameters appropriate for GaAs quantum dots. Deviations of the implemented gate from the desired form are shown to be proportional to dimensionless measures of both spin-orbit coupling and time asymmetry of the pulse.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Institute of Physics
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:22 Mar 2012 14:25
Deposited On:22 Mar 2012 13:48

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