Process reconstruction: From unphysical to physical maps via maximum likelihood

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Authors

ZIMAN Mário PLESCH Martin BUŽEK Vladimír ŠTELMACHOVIČ Peter

Year of publication 2005
Type Article in Periodical
Magazine / Source Physical Review A
MU Faculty or unit

Faculty of Informatics

Citation
Field Theoretical physics
Keywords quantum process reconstruction
Description We show that the method of maximum likelihood (MML) provides us with an efficient scheme for the reconstruction of quantum channels from incomplete measurement data. By construction this scheme always results in estimations of channels that are completely positive. Using this property we use the MML for a derivation of physical approximations of unphysical operations. In particular, we analyze the optimal approximation of the universal NOT gate as well as the physical approximation of a quantum nonlinear polarization rotation.
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