Theoretical and Mathematical Physics

, Volume 194, Issue 3, pp 384–389 | Cite as

Critical Point in the Problem of Maximizing the Transition Probability Using Measurements in an n-Level Quantum System

  • N. B. Il’in
  • A. N. Pechen


We consider the problem of maximizing the transition probability in an n-level quantum system from a given initial state to a given final state using nonselective quantum measurements. We find a sequence of measurements that is a critical point of the transition probability and, moreover, a local maximum in each variable on the set of one-dimensional projectors. We consider the class of one-dimensional projectors because these projectors describe the measurements of populations of pure states of the system.


multilevel quantum system open quantum system quantum measurement quantum system control 


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  2. 2.MISIS National University of Science and TechnologyMoscowRussia

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