Geodesic
On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 248-255

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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. 
@article{TM_2016_294_a14,
     author = {Alexander N. Pechen and Nikolay B. Il'in},
     title = {On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {248--255},
     publisher = {mathdoc},
     volume = {294},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_294_a14/}
}
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Alexander N. Pechen; Nikolay B. Il'in. On the problem of maximizing the transition probability in an $n$-level quantum system using nonselective measurements. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 248-255. http://geodesic.mathdoc.fr/item/TM_2016_294_a14/