Abstract
Based on the concept of χ -matrix and Choi–Jamiólkowski states we develop the approach of quantum process reconstruction. The key part of the work is devoted to the adequacy of applied reconstruction models. The approach is tested with the statistical reconstruction of the polarization transformations in anisotropic and dispersive media realized by means of quartz plates and taking into account the spectral structure of input polarization states.
Highlights
One of the most important trends in the development of quantum information technologies associated with the development of a proper methodology for the control of quantum states and processes
Quantum process tomography is equivalent to statistical reconstruction of Choi-Jamiolkowski state ρ χ (11)
The approach is based on χ -matrix and Choi-Jamiolkowski states and includes well-developed methods of quantum state tomography applied to the Choi-Jamiolkowski state(s)
Summary
One of the most important trends in the development of quantum information technologies associated with the development of a proper methodology for the control of quantum states and processes. Quantum transformations formalism is used to describe reduced dynamics of open quantum systems The base of such dynamics is a concept of complete positivity which was suggested and investigated in a number of works The relevant formalism is extremely important to analysis of quality of designed quantum gates In this case, the analysis of evolution of an infinite number of possible states can be replaced by the study of a single state, though set in a space of higher dimension (if the channel acts in s-dimensional Hilbert space, the corresponding Choi-Jamiolkowski state is specified in the s2 -dimensional space).
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