General off-resonance error robust symmetric composite pulses with three elementary operations

TL;DR

This paper develops symmetric composite pulses with three elementary operations that are robust against off-resonance errors, improving the accuracy of quantum control crucial for quantum information processing.

Contribution

It systematically constructs an infinite set of off-resonance error-robust symmetric composite pulses using only three elementary operations, enhancing quantum control fidelity.

Findings

Identified infinitely many off-resonance error-robust composite pulses.

Evaluated pulse performance via gate infidelity and operation time.

Demonstrated improved robustness in quantum control applications.

Abstract

Accurate quantum control is a key technology for realizing quantum information processing, such as quantum communication and quantum computation. In reality, a quantum state under control suffers from undesirable effects caused by systematic errors. A composite pulse (CP) is used to eliminate the effects of systematic errors during control. One qubit control, which is the most fundamental in quantum control, is typically affected by two errors: pulse length error (PLE) and off-resonance error (ORE). In this study, we focus on ORE-robust CPs and systematically construct ORE-robust symmetric CPs with three elementary operations. We find an infinitely large number of ORE-robust CPs and evaluate their performance according to gate infidelity and operation time, both of which are important for the realization of accurate quantum control.