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Overview of the phase space formulation of quantum mechanics with application to quantum technologies

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journal contribution
posted on 07.04.2021, 12:35 by Russell P Rundle, Mark EverittMark Everitt
The phase‐space formulation of quantum mechanics has recently seen increased use in testing quantum technologies, including methods of tomography for state verification and device validation. Here, an overview of quantum mechanics in phase space is presented. The formulation to generate a generalized phase‐space function for any arbitrary quantum system is shown, such as the Wigner and Weyl functions along with the associated Q and P functions. Examples of how these different formulations are used in quantum technologies are provided, with a focus on discrete quantum systems, qubits in particular. Also provided are some results that, to the authors' knowledge, have not been published elsewhere. These results provide insight into the relation between different representations of phase space and how the phase‐space representation is a powerful tool in understanding quantum information and quantum technologies.

Funding

EPSRC Hub in Quantum Computing and Simulation

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Physics

Published in

Advanced Quantum Technologies

Volume

4

Issue

6

Publisher

Wiley

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Wiley under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

16/03/2021

Publication date

2021-04-01

Copyright date

2021

ISSN

2511-9044

eISSN

2511-9044

Language

en

Depositor

Deposit date: 7 April 2021

Article number

2100016