Controlled phase transformation of quantum states of an electromagnetic field in a high-quality cavity
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 1, pp. 106-112

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This paper deals with the optical realization of a probabilistic operation of controlled phase transformation of three quantum modes of an electromagnetic field in a high-quality cavity. The required interaction between the modes is reached by a Rydberg atom passing through the cavity. The conditional Kraus operators formalism is used to estimate the atom-field interaction time and the coupling constants. Approximate values of the phase transformation probability and fidelity are obtained.
Keywords: phase gate, high-quality cavity, Rydberg atom, conditional state, Kraus operator.
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     author = {G. P. Miroshnichenko and A. I. Trifanov},
     title = {Controlled phase transformation of quantum states of an electromagnetic field in a~high-quality cavity},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     volume = {155},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_1_a14/}
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G. P. Miroshnichenko; A. I. Trifanov. Controlled phase transformation of quantum states of an electromagnetic field in a high-quality cavity. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 1, pp. 106-112. http://geodesic.mathdoc.fr/item/UZKU_2013_155_1_a14/