Statistical Models and Adequacy Validation for Optical Quantum State Tomography with Quadrature Measurements


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Abstract

Mutually complementary quadrature quantum measurements are analyzed and a new method to formulate statistical models of quantum states is proposed. The method is based on the root approach to quantum measurements and includes a procedure for approximating quantum states with reduced finite dimensional models. The efficiency of the proposed approach is demonstrated using numerical experiments. This approach is aimed at achieving the highest possible precision in multiphoton quantum state tomography.

About the authors

Yu. I. Bogdanov

Institute of Physics and Technology; National Research University of Electronic Technology MIET, Zelenograd; National Research Nuclear University MEPhI

Author for correspondence.
Email: bogdanov_yurii@inbox.ru
Russian Federation, Moscow, 117218; Moscow, 124498; Moscow, 115409

N. A. Bogdanova

Institute of Physics and Technology; National Research University of Electronic Technology MIET, Zelenograd

Email: bogdanov_yurii@inbox.ru
Russian Federation, Moscow, 117218; Moscow, 124498

L. V. Belinsky

Institute of Physics and Technology; National Research University of Electronic Technology MIET, Zelenograd

Email: bogdanov_yurii@inbox.ru
Russian Federation, Moscow, 117218; Moscow, 124498

V. F. Lukichev

Institute of Physics and Technology

Email: bogdanov_yurii@inbox.ru
Russian Federation, Moscow, 117218


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