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Intrication et Imperfections dans le Calcul Quantique

Andrei Pomeransky 1
1 Information et Chaos Quantiques (LPT)
LPT - Laboratoire de Physique Théorique
Abstract : Quantum information is a new domain of physics, which studies the applications of quantum systems to the computation and to the information transmission. The present thesis is devoted to the study of certain theoretical aspects of the quantum information. The quantum computers use the lows of quantum mechanics to perform the calculations much more efficiently than all currently existing computers can. The practically realizable quantum computers will be influenced by all kinds of perturbations. Among these sources of perturbations the residual static (time independent) interactions inside the computer are known to be the most dangerous because they can add coherently, while other types of perturbations have the form of the random noise with a zero mean. We study, in the case of two very different quantum computations, the efficiency of the quantum computers in the presence of the static imperfections. One of the fundamental reasons of the extraordinary efficiency of the quantum computers and of the existence of many other applications of the quantum information is the effect of quantum entanglement. The entanglement consists in the impossibility to consider a generic pure state of a quantum system as a direct product of the pure states of its subsystems. In the present thesis we study certain important properties of a widely used quantitative measure of entanglement. We consider also the average informational entropy of quantum states, find an explicit expression for this quantity and study some its most important properties.
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Submitted on : Friday, October 29, 2004 - 12:06:08 PM
Last modification on : Wednesday, October 20, 2021 - 3:47:04 AM
Long-term archiving on: : Thursday, September 13, 2012 - 12:30:18 PM


  • HAL Id : tel-00007256, version 1


Andrei Pomeransky. Intrication et Imperfections dans le Calcul Quantique. Autre [cs.OH]. Université Paul Sabatier - Toulouse III, 2004. Français. ⟨tel-00007256⟩



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