Second-order shaped pulses for solid-state quantum computation

Details Second-order shaped pulses for solid-state quantum computation Second-order shaped pulses for solid-state quantum computation

2008-06-16

arxiv.org/abs/0806.2644v1

Physics

Quantum Physics

16 pages, 29 figures

Scientific paper

10.1103/PhysRevA.78.032336

We present the constructon and detailed analysis of highly-optimized self-refocusing pulse shapes for several rotation angles. We characterize the constructed pulses by the coefficients appearing in the Magnus expansion up to second order. This allows a semi-analytical analysis of the performance of the constructed shapes in sequences and composite pulses by computing the corresponding leading-order error operators. Higher orders can be analyzed with the numerical technique suggested by us previously. We illustrate the technique by analysing several composite pulses designed to protect against pulse amplitude errors, and on decoupling sequences for potentially long chains of qubits with on-site and nearest-neighbor couplings.

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