Influence of the Commutator Properties of Hamiltonians on the Robustness of Quantum Circuits

TL;DR

This paper introduces new estimates for quantum circuit control errors that incorporate Hamiltonian commutator properties, enhancing understanding of circuit robustness in quantum computing.

Contribution

It provides novel error estimates based on commutator calculus, advancing the analysis of quantum circuit robustness.

Findings

New error bounds considering Hamiltonian commutators

Improved understanding of quantum circuit error sources

Enhanced methods for quantum control error estimation

Abstract

We have proved new estimates for the coherent control errors of quantum circuits used in quantum computing. These estimates essentially take into account the commutator properties of the Hamiltonians and are based on the formulas of the commutator calculus.