Constructing finite-dimensional codes with optical continuous variables

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Published 1 October 2004 2004 EDP Sciences
, , Citation S. Pirandola et al 2004 EPL 68 323 DOI 10.1209/epl/i2004-10203-9

0295-5075/68/3/323

Abstract

We show how a qubit can be fault-tolerantly encoded in the infinite-dimensional Hilbert space of an optical mode. The scheme is efficient and realizable with present technologies. In fact, it involves two travelling optical modes coupled by a cross-Kerr interaction, initially prepared in coherent states, one of which is much more intense than the other. At the exit of the Kerr medium, the weak mode is subject to a homodyne measurement and a quantum codeword is conditionally generated in the quantum fluctuations of the intense mode.

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