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Modelling Non-Markovian Quantum Systems Using Tensor Networks

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  • © 2020

Overview

  • Nominated as an outstanding Ph.D. thesis by the University of St Andrews, Fife, United Kingdom
  • The novel and original presentation of the foundations of open quantum systems theory gives fresh insights into the field
  • A tensor network framework for describing open quantum systems is introduced in very general terms, making individual concepts adaptible to further developments in the field
  • Full exposition of a robust and highly efficient numerical method for simulating open quantum systems is given, providing an invaluable tool for modelling realistic quantum devices and technology

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (5 chapters)

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About this book

This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system.

The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.


Authors and Affiliations

  • School of Mathematics and Physics, University of Queensland, Brisbane, Australia

    Aidan Strathearn

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