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Spin Polarization-Scaling Quantum Maps and Channels

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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… Click to show full 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-1/2 particles is emphasized.

Keywords: spin particles; spin; scaling quantum; polarization scaling; spin polarization

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018

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