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A method for exponential operator decomposition

2011/04/06 by Seçkin Şefi, Seckin Sefi, Peter van Loock +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Matrix Theory and Algorithms #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1104.1148

This work has been merged with arXiv:1010.0326 (Phys. Rev. Lett. 107, 170501 (2011)) with some changes and therefore has been withdrawn

openalex publication_date 2011/04/06 · arxiv created 2011/10/18 · arxiv updated 2011/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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