Hidden Bell Correlations in the Four-Level Atom


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Abstract

We extend the Bell inequality known for two qubits to the four-level atom, including an artificial atom realized by the superconducting circuit, and qudit with j = 3/2. We formulate the extended inequality as the inequality valid for an arbitrary Hermitian nonnegative 4×4 matrix with unit trace for both separable and entangled matrices.

About the authors

Margarita A. Man’ko

Lebedev Physical Institute, Russian Academy of Sciences

Author for correspondence.
Email: mmanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991

Vladimir I. Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Email: mmanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Moscow Region, Dolgoprudnyi, 141700

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