A method for exponential operator decomposition

TL;DR

This paper introduces a systematic and efficient method for exponential operator decomposition applicable across various fields like quantum control and condensed matter physics, improving on existing schemes in terms of operator count.

Contribution

The paper presents a new general and systematic method for exponential operator decomposition that reduces the number of operators needed compared to previous approaches.

Findings

Method is efficient in operator count.

Applicable to nested commutation operators.

General and systematic approach.

Abstract

Exponential operator decompositions are an important tool in many fields of physics, for example, in quantum control, quantum computation, or condensed matter physics. In this work, we present a method for obtaining such decompositions, which is efficient in terms of the required number of operators. Compared to existing schemes, our more direct approach is general, in the sense that it can be applied to various kinds of operators including nested commutation operators, and it is systematic.