On the problem of maximizing the transition probability in an n-level quantum system using nonselective measurements


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Abstract

We consider the problem of maximizing the probability of transition from a given initial state to a given final state for an n-level quantum system using nonselective quantum measurements. We find an estimate from below for the maximum of the transition probability for any fixed number of measurements and find the measured observables on which this estimate is attained.

About the authors

Alexander N. Pechen

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: pechen@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

Nikolay B. Il’in

Steklov Mathematical Institute of Russian Academy of Sciences

Email: pechen@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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