Teleportation fidelity as a probe of sub-Planck phase-space structure

Details Teleportation fidelity as a probe of sub-Planck phase-space structure Teleportation fidelity as a probe of sub-Planck phase-space structure

2008-01-08

arxiv.org/abs/0801.1154v1

Ann. Phys. 323, 2685 (2008)

Physics

Quantum Physics

19 pages, 5 figures

Scientific paper

10.1016/j.aop.2008.01.007

We investigate the connection between sub-Planck structure in the Wigner function and the output fidelity of continuous-variable teleportation protocols. When the teleporting parties share a two-mode squeezed state as an entangled resource, high fidelity in the output state requires a squeezing large enough that the smallest sub-Planck structures in an input pure state are teleported faithfully. We formulate this relationship, which leads to an explicit relation between the fine-scale structure in the Wigner function and large-scale extent of the Wigner function, and we treat specific examples, including coherent, number, and random states and states produced by chaotic dynamics. We generalize the pure-state results to teleportation of mixed states.

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