Generalized product formulas and quantum control

Daniel Burgarth; Paolo Facchi; Giovanni Gramegna; Saverio Pascazio

doi:10.1088/1751-8121/ab4403

Generalized product formulas and quantum control

Daniel Burgarth, Paolo Facchi^*, Giovanni Gramegna, Saverio Pascazio

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We study the quantum evolution under the combined action of the exponentials of two not necessarily commuting operators. We consider the limit in which the two evolutions alternate at infinite frequency. This case appears in a plethora of situations, both in physics (Feynman integral) and mathematics (product formulas). We focus on the case in which the two evolution times are scaled differently in the limit and generalize standard techniques and results.

Original language	English
Article number	435301
Pages (from-to)	1-22
Number of pages	22
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	52
Issue number	43
DOIs	https://doi.org/10.1088/1751-8121/ab4403
Publication status	Published - 25 Oct 2019

Keywords

adiabatic theorem
product formulas
quantum control
quantum Zeno dynamics

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10.1088/1751-8121/ab4403

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KW - quantum Zeno dynamics

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Generalized product formulas and quantum control

Abstract

Keywords

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