Volume 68, Number 3, November 2004
|Page(s)||323 - 329|
|Published online||01 October 2004|
Constructing finite-dimensional codes with optical continuous variables
INFM, Dipartimento di Fisica, Università di Camerino - I-62032 Camerino, Italy
Accepted: 31 August 2004
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.
PACS: 03.67.Pp – Quantum error correction and other methods for protection against decoherence / 42.65.-k – Nonlinear optics / 42.50.Gy – Effects of atomic coherence on propagation, absorption, and amplification of light; electromagnetically induced transparency and absorption
© EDP Sciences, 2004
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