Spin swap gate in the presence of qubit inhomogeneity in a double quantum dot

Details Spin swap gate in the presence of qubit inhomogeneity in a double quantum dot Spin swap gate in the presence of qubit inhomogeneity in a double quantum dot

2003-01-30

arxiv.org/abs/cond-mat/0301612v3

Phys. Rev. A 68, 052310 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

published version

Scientific paper

10.1103/PhysRevA.68.052310

We study theoretically the effects of qubit inhomogeneity on the quantum logic gate of qubit swap, which is an integral part of the operations of a quantum computer. Our focus here is to construct a robust pulse sequence for swap operation in the simultaneous presence of Zeeman inhomogeneity for quantum dot trapped electron spins and the finite-time ramp-up of exchange coupling in a double dot. We first present a geometric explanation of spin swap operation, mapping the two-qubit operation onto a single-qubit rotation. We then show that in this geometric picture a square-pulse-sequence can be easily designed to perform swap in the presence of Zeeman inhomogeneity. Finally, we investigate how finite ramp-up times for the exchange coupling $J$ negatively affect the performance of the swap gate sequence, and show how to correct the problems numerically.

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