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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2021, 12 (6), P. 697–702

Discrimination and decoherence of Schrödinger cat states in lossy quantum channels

R. K. Goncharov – Quantum Information Laboratory, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg; Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg, Russia; rkgoncharov@itmo.ru
A. D. Kiselev – Quantum Information Laboratory, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg; Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg, Russia
N. G. Veselkova – Quantum Information Laboratory, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg, Russia
Ranim Ali – Faculty of Photonics, ITMO University, Kronverksky Pr. 49, bldg. A, 197101 Saint Petersburg, Russia
F. D. Kiselev – Quantum Information Laboratory, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg; Laboratory of Quantum Processes and Measurements, ITMO University, Kadetskaya Line, 3, 199034 Saint Petersburg, Russia

We investigate environment induced effects of decoherence in discrimination between the Schrödinger cat states transmitted through noisy quantum channels such as optical fibers. We calculate the fidelity and the statistics of photocounts for both even and odd coherent states. The method that uses the beam splitter-like transformation acting in the enlarged Hilbert space to model the quantum channel is compared with the approach based on the Lindblad dynamics of one-mode bosonic systems.

Keywords: Schrödinger cat states, decoherence, quantum state discrimination.

PACS 03.67.Bg, 03.67.Hk DOI 10.17586/2220-8054-2021-12-6-697-702

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