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

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