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Weaving quantum optical frequency combs into hypercubic cluster states

Pei Wang, Moran Chen, Olivier Pfister, Nicolas C. Menicucci

Published Jan 1, 2014• 3 citations
Publisher

Abstract

We present a simple, scalable, top-down method for entangling the quantum optical frequency comb into hypercubic-lattice continuous-variable cluster states up to a maximum size of about 104 modes using existing technology.
DOI
10.1364/cleo_qels.2014.fth3a.2

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Cluster states with higher-dimensional lattices that cannot be physically embedded in three-dimensional space have important theoretical interest in quantum computation and quantum simulation of topologically ordered condensed-matter systems. We present a simple, scalable, top-down method of entangling the quantum optical frequency comb into hypercubic-lattice continuous-variable cluster states of a size of about 104{10}^{4}104 quantum field modes, using existing technology. A hypercubic lattice of dimension DDD (linear, square, cubic, hypercubic, etc.) requires but DDD optical parametric oscillators with bichromatic pumps whose frequency splittings alone determine the lattice dimensionality and the number of copies of the state.