Spin polarization-scaling quantum maps and channels

Abstract

We introduce a spin polarization-scaling map for spin-$j$ particles, whose physical meaning is the decrease of spin polarization along three mutually orthogonal axes. We find conditions on three scaling parameters under which the map is positive, completely positive, entanglement breaking, 2-tensor-stable positive, and 2-locally entanglement annihilating. The results are specified for maps on spin-$1$ particles. The difference from the case of spin-$\frac{1}{2}$ particles is emphasized.

4 pages, 1 figure; dedicated to the memory of Kamil Magadov who passed away in July 2017 after this paper had been submitted to a journal

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Cited by in corpus (3)

• Quantum informational properties of the Landau-Streater channel
• Realization of the Werner-Holevo and Landau-Streater quantum channels for qutrits on quantum computers
• On quantum operations of photon subtraction and photon addition