Modelling Non-Markovian Quantum Systems Using Tensor Networks

✍ Scribed by Aidan Strathearn

• Publisher: Springer International Publishing;Springer
• Year: 2020
• Tongue: English
• Leaves: 113
• Series: Springer Theses
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xv
Introduction (Aidan Strathearn)....Pages 1-5
Background (Aidan Strathearn)....Pages 7-53
Method (Aidan Strathearn)....Pages 55-82
Results (Aidan Strathearn)....Pages 83-97
Conclusion (Aidan Strathearn)....Pages 99-103

✦ Subjects

Physics; Quantum Physics; Theoretical, Mathematical and Computational Physics; Statistics and Computing/Statistics Programs; Probability Theory and Stochastic Processes