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Measuring outcome correlation for spin-s Bell cat-state and geometric phase induced spin parity effect
- Source :
- International Journal of Quantum Information,Vol. 17, No. 4 (2019) 1950039 (14 pages)
- Publication Year :
- 2019
-
Abstract
- In terms of quantum probability statistics the Bell inequality (BI) and its violation are extended to spin-$s$ entangled Schr\"{o}dinger cat-state (called the Bell cat-state) with both parallel and antiparallel spin-polarizations. The BI is never ever violated for the measuring outcome probabilities evaluated over entire two-spin Hilbert space except the spin-$1/2$ entangled states. A universal Bell-type inequality (UBI) denoted by $p_{s}^{lc}\leq0$ is formulated with the local realistic model under the condition that the measuring outcomes are restricted in the subspace of spin coherent states. A spin parity effect is observed that the UBI can be violated only by the Bell cat-states of half-integer but not the integer spins. The violation of UBI is seen to be a direct result of non-trivial Berry phase between the spin coherent states of south- and north-pole gauges for half-integer spin, while the geometric phase is trivial for the integer spins. A maximum violation bound of UBI is found as $p_{s}^{\max}$=1, which is valid for arbitrary half-integer spin-$s$ states.<br />Comment: 11 pages
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- International Journal of Quantum Information,Vol. 17, No. 4 (2019) 1950039 (14 pages)
- Publication Type :
- Report
- Accession number :
- edsarx.1903.12345
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1142/S0219749919500394