Engineering steady Knill-Laflamme-Milburn state of Rydberg atoms by dissipation

TL;DR

This paper proposes a method to generate steady Knill-Laflamme-Milburn (KLM) states in Rydberg atom systems using dissipation and Rydberg antiblockade, achieving high fidelity in simulations.

Contribution

It introduces a dissipative scheme for creating steady bipartite KLM states in neutral atoms, which was not previously reported.

Findings

Fidelity above 99% achievable with current parameters

Dissipative process effectively generates steady KLM states

Utilizes spontaneous emission and Rydberg antiblockade mechanisms

Abstract

The Knill-Laflamme-Milburn (KLM) states have been proved to be a useful resource for quantum information processing [Nature 409, 46 (2001)]. For atomic KLM states, several schemes have been put forward based on the time-dependent unitary dynamics, but the dissipative generation of these states has not been reported. This work discusses the possibility for creating different forms of bipartite KLM states in neutral atom system, where the spontaneous emission of excited Rydberg states, combined with the Rydberg antiblockade mechanism, is actively exploited to engineer a steady KLM state from an arbitrary initial state. The numerical simulation of the master equation signifies that a fidelity above 99\% is available with the current experimental parameters.