An introduction to "continuous variable" quantum information
Barry Sanders

23 June 2009, 15:30 - 23 June 2009, 16:30 Salle/Bat : 90/490
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Résumé :

"Continuous variable" quantum information is an important niche area of quantum information science. The success of this area is driven by impressive experimental advances with preparation, processing and measurement of squeezed light. Certain quantum information tasks were first demonstrated in the "continuous variable" setting such as deterministic quantum teleportation and quantum threshold secret sharing. "Continuous variable" quantum cryptography is an exciting prospect for high-bandwidth local-area information-theoretic security. On the other hand, the concept of continuous variables is anathema to the discrete mathematical structure of standard computer science and information theory, and these problems are especially evident in the challenge of constructing error correction strategies. I will present the basics of "continuous variable" quantum information and discuss how coding can be implemented in the "continuous variable" setting. We will also see how the Deutsch-Jozsa quantum algorithm translates to the "continuous variable" domain and see in particular how the time-bandwidth product rule for Fourier transforms creates a severe limitation.