Repeated Quantum Non-Demolition Measurements: Convergence and Continuous Time Limit

Quantum non-demolition measurements using Bose-Einstein condensates

We study possible scenarios for quantum non-demolition measurements using Bose-Einstein condensates. We show that the interactions between condensate atoms makes it possible to measure the atom number with minimal back action on the system. This is an example of atomic nonlinear optics that has significant implications in the quantum state preparation of the Bose condensates. Typeset using REVT...

Non Markovian Quantum Repeated Interactions and Measurements

A non-Markovian model of quantum repeated interactions between a small quantum system and an infinite chain of quantum systems is presented. By adapting and applying usual projection operator techniques in this context, discrete versions of the integro-differential and time-convolutioness Master equations for the reduced system are derived. Next, an intuitive and rigorous description of the ind...

Quantum measurements in continuous time, non-Markovian evolutions and feedback.

In this article, we reconsider a version of quantum trajectory theory based on the stochastic Schrödinger equation with stochastic coefficients, which was mathematically introduced in the 1990s, and we develop it in order to describe the non-Markovian evolution of a quantum system continuously measured and controlled, thanks to a measurement-based feedback. Indeed, realistic descriptions of a f...

Feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays

Quantum Teleportation Using Quantum Non-Demolition Technique

Quantum teleportation is a transport of quantum state of a system to another similar system via a classical channel [1]. The principles of quantum mechanics demand that for realization of such a transport, the sender and the receiver must have two ancillary quantum systems, being strongly quantum-mechanically correlated (entangled). Quantum teleportation is a fundamental phenomenon of quantum w...