Constructive control of quantum systems using factorization of unitary operators

Details Constructive control of quantum systems using factorization of unitary operators Constructive control of quantum systems using factorization of unitary operators

2002-11-08

arxiv.org/abs/quant-ph/0211042v1

J. Phys. A 35, 8315--8339 (2002)

Physics

Quantum Physics

28 pages, IoP LaTeX, principal author has moved to Cambridge University (sgs29@cam.ac.uk)

Scientific paper

10.1088/0305-4470/35/39/313

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.

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