Arbitrary precision composite pulses for NMR quantum computing

TL;DR

This paper presents methods for designing arbitrary precision composite pulses to improve control accuracy in NMR quantum computing, addressing pulse length and off-resonance errors with explicit sequences.

Contribution

It introduces explicit composite pulse sequences for arbitrary precision control, extending previous methods to handle both pulse length and off-resonance errors in NMR quantum computing.

Findings

Explicit composite pulse sequences for error correction

Effective for pulse length and off-resonance errors

Applicable beyond NMR quantum computing

Abstract

We discuss the implementation of arbitrary precision composite pulses developed using the methods of Brown et al. [Phys. Rev. A 70 (2004) 052318]. We give explicit results for pulse sequences designed to tackle both the simple case of pulse length errors and for the more complex case of off-resonance errors. The results are developed in the context of NMR quantum computation, but could be applied more widely.