A Quantum-Controlled NOT Gate Based on Four-Wave Mixing in a Cavity for Polarization Photonic Qubits


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Abstract

The possibility of effectively creating quantum gates based on polarization photon qubits using a Kerr nonlinear medium in a cavity is studied. It is shown how a quantum C-NOT gate can be produced with such qubits through four-wave mixing. A theory of this gate’s operation is constructed using an input–output formalism, and conditions of parametric matching are obtained for effective gate operation.

About the authors

S. N. Andrianov

Institute for Applied Research, Tatarstan Republic Academy of Sciences

Author for correspondence.
Email: andrianovsn@mail.ru
Russian Federation, Kazan, 420111

A. A. Kalachev

Zavoisky Physicotechnical Institute, Kazan Scientific Center, Russian Academy of Sciences

Email: andrianovsn@mail.ru
Russian Federation, Kazan, 420029

O. P. Shindyaev

Institute for Applied Research, Tatarstan Republic Academy of Sciences

Email: andrianovsn@mail.ru
Russian Federation, Kazan, 420111

A. V. Shkalikov

Zavoisky Physicotechnical Institute, Kazan Scientific Center, Russian Academy of Sciences

Email: andrianovsn@mail.ru
Russian Federation, Kazan, 420029

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