Overview of the Phase Space Formulation of Quantum Mechanics with Application to Quantum Technologies

Russell P Rundle, Mark Everitt

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)

Abstract

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.
Original languageEnglish
Article number2100016
Number of pages29
JournalAdvanced Quantum Technologies
Volume4
Issue number6
DOIs
Publication statusPublished - 1 Apr 2021

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