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Quantum operational measurement of amplitude and phase parameters for SU(3)-symmetry optical field

A. P. Alodjants·A. Yu. Leksin·S. M. Arakelian
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Abstract

We consider a new approach to describe a quantum optical Bose-system with internal Gell-Mann symmetry by the SU(3)-symmetry polarization map in Hilbert space. The operational measurement in density (or coherency) matrix elements for the three mode optical field is discussed for the first time. We have introduced a set of operators that describes the quantum measurement procedure and the behavior of fluctuations for the amplitude and phase characteristics of three level system. The original twelve-port interferometer for parallel measurements of the Gell-Mann parameters is proposed. The quantum properties of W-qutrit states under the measurement procedure are examined.

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A. P. Alodjants, A. Yu. Leksin, S. M. Arakelian. 2006-02-27. Quantum operational measurement of amplitude and phase parameters for SU(3)-symmetry optical field. https://arxiv.org/abs/quant-ph/0602222

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