Cancellation of spin-orbit effects in quantum gates based on the exchange coupling

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  • 6 August 2001
Abstract
We study the effect of the spin-orbit interaction on quantum gate operations based on the spin exchange coupling where the qubit is represented by the electron spin in a quantum dot or a similar nanostructure. Our main result is the exact cancellation of the spin-orbit effects in the sequence producing the quantum XOR gate for the ideal case where the pulse shapes of the exchange and spin-orbit interactions are identical. For the non-ideal case, we show that the two pulse shapes can be made almost identical and that the gate error is strongly suppressed by two small parameters, the spin-orbit interaction constant and the smallness of the deviation of the two pulse shapes. Similarly, we show that the dipole-dipole interaction leads only to very small errors in the XOR gate.

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