Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors

Abstract

Composite pulses have found widespread use in both conventional Nuclear Magnetic Resonance experiments and in experimental quantum information processing to reduce the effects of systematic errors. Here we describe several families of time symmetric and antisymmetric fully compensating composite pulses, inspired by the previous Fn, Gn and BB1 families family developed by Wimperis. We describe families of composite 180 degree pulses (NOT gates) which exhibit unprecedented tolerance of pulse strength errors without unreasonable sensitivity to off-resonance errors, and related families with more exotic tailored responses. Next we address the problem of extending these methods to other rotation angles, and discuss numerical results for 90 degree pulses. Finally we demonstrate the performance of some 90 degree and 180 degree pulses in NMR experiments.

12 pages, 11 figures; major update and extension of previous version. Now at J. Magn. Reson. (in press)

References in corpus (8)

• Robust dynamical decoupling for quantum computing and quantum memory
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Arbitrarily accurate composite pulses
• Quantum Computing with NMR
• Robust Ising Gates for Practical Quantum Computation
• Concatenated composite pulses compensating simultaneous systematic errors
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• Three-state coherent control using narrowband and passband sequences
• Modular quantum signal processing in many variables
• Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry
• All You Need is pi: Quantum Computing with Hermitian Gates
• Cyclicity of interaction frame transformations