Abstract
We study the stability of superpositions of macroscopically distinct quantum
states under decoherence. We introduce a class of quantum states with
entanglement features similar to Greenberger-Horne-Zeilinger (GHZ) states, but
with an inherent stability against noise and decoherence. We show that in
contrast to GHZ states, these states remain multipartite entangled even for
macroscopic numbers of particles and can be used for quantum metrology in noisy
environments. We also propose a scalable experimental realization of these
state using existing ion trap set-ups.
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