Generalized product formulas and quantum control

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

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)


    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 languageEnglish
    Article number435301
    Pages (from-to)1-22
    Number of pages22
    JournalJournal of Physics A: Mathematical and Theoretical
    Issue number43
    Publication statusPublished - 25 Oct 2019


    • adiabatic theorem
    • product formulas
    • quantum control
    • quantum Zeno dynamics


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