Environment-assisted quantum-information correction for continuous variables

Environment-assisted quantum-information correction for continuous variables

Error Correction for Continuous Quantum Variables

Quantum computers hold the promise for efficiently factoring large integers [1]. However, to do this beyond a most modest scale they will require quantum error correction [2]. The theory of quantum error correction is already well studied in two-level or spin2 systems (in terms of qubits or quantum bits) [2–7]. Some of these results have been generalized to higher-spin systems [8–11]. This work...

Quantum information with continuous variables

Quantum information is a rapidly advancing area of interdisciplinary research. It may lead to real-world applications for communication and computation unavailable without the exploitation of quantum properties such as nonorthogonality or entanglement. This article reviews the progress in quantum information based on continuous quantum variables, with emphasis on quantum optical implementations...

QUANTUM INFORMATION WITH OPTICAL CONTINUOUS VARIABLES: Nonlocality, Entanglement, and Error Correction

ii Acknowledgments My gratitude goes to Nicolas Cerf for introducing me to the fascinating field of quantum information, and for giving me the opportunity to pursue this thesis. I would also like to thank all of my colleagues at the QuIC, in particular Lo¨ıck Magnin who read a preliminary version of this manuscript, and Louis-Philippe Lamoureux who has become a true friend. Some of the results ...

Three-mode Gaussian states in quantum information with continuous variables

The structural aspects of tripartite entanglement in three-mode Gaussian states of continuous variable systems have been studied in [Adesso G, Serafini A and Illuminati F 2006 Phys. Rev. A 73 032345]. Here we focus our attention on the usefulness of such states in the context of realistic processing of continuous-variable quantum information. We introduce and discuss in detail several examples ...