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Eléments de théorie de l'information quantique, décohérence et codes correcteurs quantiques.

Harold Ollivier 1 
1 CODES - Coding and cryptography
Inria Paris-Rocquencourt
Abstract : Quantum information theory was born 20 years ago. In the course of its development it changed our view of microscopic physics as well as our understanding of the use of resources required for computing. This thesis deals with three different aspects of quantum information: - Decoherence -- the mechanism responsible for the quantum-classical transition -- is re-analyzed using quantitative methods based on a definition of mutual information between two quantum systems; - A new class of quantum error correcting codes -- quantum convolutional codes -- is introduced and proved to be the analog of classical convolutional codes (online encoding and decoding, efficient maximum likelihood error estimation algorithm, necessary and sufficient condition for absence of catastrophic errors, etc.) ; - Some experimental proposal for simple manipulation of quantum information in cavity QED are described (Toffoli gate and universal cloning).
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Submitted on : Tuesday, July 27, 2010 - 11:14:02 AM
Last modification on : Friday, February 4, 2022 - 3:08:13 AM
Long-term archiving on: : Thursday, October 28, 2010 - 11:28:00 AM


  • HAL Id : pastel-00001131, version 1



Harold Ollivier. Eléments de théorie de l'information quantique, décohérence et codes correcteurs quantiques.. Algorithme et structure de données [cs.DS]. Ecole Polytechnique X, 2004. Français. ⟨pastel-00001131⟩



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