Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms

TL;DR

This paper explores non-adiabatic protocols for quantum state preparation and transport in Rydberg atom chains, demonstrating high-fidelity operations within Rydberg state lifetimes and analyzing effects of disorder and noise.

Contribution

It introduces new non-adiabatic protocols for state creation and transport in Rydberg chains, optimized for speed and fidelity, with analysis of disorder and decay effects.

Findings

Protocols operate faster than Rydberg state lifetime

High fidelity state preparation and transport achieved

Disorder and decay effects are quantitatively analyzed

Abstract

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.