Constructive control of quantum systems using factorization of unitary operators

S. G. Schirmer, Andrew D. Greentree, Viswanath Ramakrishnaand, Herschel Rabitz

Research output: Contribution to journalArticlepeer-review

57 Scopus citations


We demonstrate how structured decompositions of unitary operators can be employed to derive control schemes for finite-level quantum systems that require only sequences of simple control pulses such as square wave pulses with finite rise and decay times or Gaussian wavepackets. To illustrate the technique, it is applied to find control schemes to achieve population transfers for pure-state systems, complete inversions of the ensemble populations for mixed-state systems, create arbitrary superposition states and optimize the ensemble average of dynamic observables.

Original languageEnglish (US)
Pages (from-to)8315-8339
Number of pages25
JournalJournal of Physics A: Mathematical and General
Issue number39
StatePublished - Oct 4 2002

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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