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

1 Citation (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


Dive into the research topics of 'Generalized product formulas and quantum control'. Together they form a unique fingerprint.

Cite this