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.

arXiv comment12 pages, 11 figures; major update and extension of previous version. Now at J. Magn. Reson. (in press)

References in corpus (19)

• Dynamical Decoupling of Open Quantum Systems
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Robust dynamical decoupling for quantum computing and quantum memory
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Robust dynamical decoupling
• Arbitrarily accurate composite pulses
• Quantum Computing with NMR
• NMR-like control of a quantum bit superconducting circuit
• Robust Ising Gates for Practical Quantum Computation
• High Fidelity Single Qubit Operations using Pulsed EPR
• Use of composite rotations to correct systematic errors in NMR quantum computation
• Concatenated composite pulses compensating simultaneous systematic errors
• Arbitrary precision composite pulses for NMR quantum computing
• Highly efficient broadband conversion of light polarization by composite retarders
• The Fantastic Four: A plug 'n' play set of optimal control pulses for enhancing nmr spectroscopy
• Geometric Aspects of Composite Pulses
• Designing Robust Unitary Gates: Application to Concatenated Composite Pulse
• Robust Logic Gates and Realistic Quantum Computation
• 6th order robust pulses for quantum control

Cited by in corpus (16)

• The methodology of resonant equiangular composite quantum gates
• Designing short robust NOT gates for quantum computation
• Optimal arbitrarily accurate composite pulse sequences
• Ultrahigh-fidelity composite rotational quantum gates
• Arbitrarily accurate passband composite pulses for dynamical suppression of amplitude noise
• Composite pulses with errant phases
• Robust population inversion in three-level systems by composite pulses
• Nested composite NOT gates for quantum computation
• Controlling NMR spin systems for quantum computation
• Meridional composite pulses for low-field magnetic resonance
• Quantum Gates Robust to Secular Amplitude Drifts
• 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