6th order robust pulses for quantum control

Abstract

Composite pulse sequences designed for nuclear magnetic resonance experiments are currently being applied in many quantum information processing technologies.We present an analysis of a family of composite pulse sequences used to address systematic pulse-length errors in the execution of quantum gates. It has been demonstrated by Cummins et al. [Phys. Rev. A 67, 042308 (2003)] that for this family of composite pulse sequences, the fidelity of the resulting unitary operation compared with the ideal unitary operation is 1+C*epsilon^6, where epsilon is the fractional error in the length of the pulse. We derive an exact expression for the 6th order coefficient, C, and from this deduce conditions under which this 6th order dependance is observed. We also present new pulse sequences which achieve the same fidelity.

Changes made to last section and references;5 pages;Figure added;Accepted in PRA

References in corpus (6)

• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Arbitrarily accurate composite pulses
• Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping
• Silicon-based Quantum Computation
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Cited by in corpus (8)

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• Robust control of a NOT gate by composite pulses
• Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
• Second-order shaped pulses for solid-state quantum computation
• Fidelity Between Unitary Operators and the Generation of Gates Robust Against Off-Resonance Perturbations
• Robust and Parallel Control of Many Qubits