Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms. (arXiv:1707.02203v2 [quant-ph] UPDATED)

Motivated by recent progress in the experimental manipulation of cold atoms
in optical lattices, we study three different protocols for non-adiabatic
quantum state preparation and state transport in chains of Rydberg atoms. The
protocols we discuss are based on the blockade mechanism between atoms which,
when excited to a Rydberg state, interact through a van der Waals potential,
and rely on single-site addressing. Specifically, we discuss protocols for
efficient creation of an antiferromagnetic GHZ state, a class of matrix product
states including a so-called Rydberg crystal and for the state transport of a
single-qubit quantum state between two ends of a chain of atoms. We identify
system parameters allowing for the operation of the protocols on timescales
shorter than the lifetime of the Rydberg states while yielding high fidelity
output states. We discuss the effect of positional disorder on the resulting
states and comment on limitations due to other sources of noise such as
radiative decay of the Rydberg states. The proposed protocols provide a testbed
for benchmarking the performance of quantum information processing platforms
based on Rydberg atoms.

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