Robustness of spatial Penning trap modes against environment-assisted entanglement

Details Robustness of spatial Penning trap modes against environment-assisted entanglement Robustness of spatial Penning trap modes against environment-assisted entanglement

2011-01-19

arxiv.org/abs/1101.3674v1

Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 44, p. 035502 (2011)

Physics

Quantum Physics

11 pages, 2 figures

Scientific paper

10.1088/0953-4075/44/3/035502

The separability of the spatial modes of a charged particle in a Penning trap in the presence of an environment is studied by means of the positive partial transpose (PPT) criterion. Assuming a weak Markovian environment, described by linear Lindblad operators, our results strongly suggest that the environmental coupling of the axial and cyclotron degrees of freedom does not lead to entanglement at experimentally realistic temperatures. We therefore argue that, apart from unavoidable decoherence, the presence of such an environment does not alter the effectiveness of recently suggested quantum information protocols in Penning traps, which are based on the combination of a spatial mode with the spin of the particle.

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