Physics – Quantum Physics
Scientific paper
2005-06-24
Int.J.Mod.Phys. A20 (2005) 6220-6228
Physics
Quantum Physics
6 pages, submitted to Int. J. Mod. Phys. A as part of MRST 2005 conference proceedings
Scientific paper
10.1142/S0217751X05029241
This paper explores the connections between particle scattering and quantum information theory in the context of the non-relativistic, elastic scattering of two spin-1/2 particles. An untangled, pure, two-particle in-state is evolved by an S-matrix that respects certain symmetries and the entanglement of the pure out-state is measured. The analysis is phrased in terms of unitary, irreducible representations (UIRs) of the symmetry group in question, either the rotation group for the spin degrees of freedom or the Galilean group for non-relativistic particles. Entanglement may occurs when multiple UIRs appear in the direct sum decomposition of the direct product in-state, but it also depends of the scattering phase shifts. \keywords{dynamical entanglement, scattering, Clebsch-Gordan methods}
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