Concatenated composite pulses compensating simultaneous systematic errors

TL;DR

This paper introduces a method to design concatenated composite pulses that simultaneously correct for multiple systematic errors in quantum operations, improving robustness and efficiency in quantum control.

Contribution

It presents a novel general prescription for creating concatenated composite pulses that are robust against two types of errors at once, with a method to optimize their length and complexity.

Findings

Designed CCCPs that correct both pulse length and off-resonance errors

Achieved shorter execution times and fewer pulses in composite sequences

Provided a systematic approach for robust quantum control

Abstract

In NMR experiments and quantum computation, many pulse (quantum gate) sequences called the composite pulses, were developed to suppress one of two dominant errors; a pulse length error and an off-resonance error. We describe, in this paper, a general prescription to design a single-qubit concatenated composite pulse (CCCP) that is robust against two types of errors simultaneously. To this end, we introduce a new property, which is satisfied by some composite pulses and is sufficient to obtain a CCCP. Then we introduce a general method to design CCCPs with shorter execution time and less number of pulses.