Strathearn, Aidan. Modelling Non-Markovian Quantum Systems Using Tensor Networks [electronic resource] / / by Aidan Strathearn.. — 1st ed. 2020.. — XV, 103 p. 64 illus., 15 illus. in color. : online resource. — (Springer Theses, Recognizing Outstanding Ph.D. Research,) 2190-5053. - Springer Theses, Recognizing Outstanding Ph.D. Research, .

Introduction -- Background -- Method -- Results -- Conclusion.

Анотація:
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.

9783030549756

10.1007/978-3-030-54975-6 doi


Quantum physics.
Mathematical physics.
Statistics .
Probabilities.
Quantum Physics.
Theoretical, Mathematical and Computational Physics.
Statistics and Computing/Statistics Programs.
Probability Theory and Stochastic Processes.

QC173.96-174.52

530.12