Extremal quantum states
Goldberg AZ, Klimov AB, Grassl M, Leuchs G, Sánchez-Soto LL (2020)
Publication Type: Journal article, Review article
Publication year: 2020
Journal
Book Volume: 2
Article Number: 044701
Journal Issue: 4
DOI: 10.1116/5.0025819
Abstract
The striking differences between quantum and classical systems predicate disruptive quantum technologies. We peruse quantumness from a variety of viewpoints, concentrating on phase-space formulations because they can be applied beyond particular symmetry groups. The symmetry-transcending properties of the Husimi Q function make it our basic tool. In terms of the latter, we examine quantities such as the Wehrl entropy, inverse participation ratio, cumulative multipolar distribution, and metrological power, which are linked to the intrinsic properties of any quantum state. We use these quantities to formulate extremal principles and determine in this way which states are the most and least “quantum”; the corresponding properties and potential usefulness of each extremal principle are explored in detail. While the extrema largely coincide for continuous-variable systems, our analysis of spin systems shows that care must be taken when applying an extremal principle to new contexts.
Authors with CRIS profile
Involved external institutions
Max-Planck-Institut für die Physik des Lichts (MPL) / Max Planck Institute for the Science of Light
Germany (DE)
University of Toronto
Canada (CA)
Universidad de Guadalajara (UDEG)
Mexico (MX)
Germany (DE)
University of Toronto
Canada (CA)
Universidad de Guadalajara (UDEG)
Mexico (MX)
How to cite
APA:
Goldberg, A.Z., Klimov, A.B., Grassl, M., Leuchs, G., & Sánchez-Soto, L.L. (2020). Extremal quantum states. AVS Quantum Science, 2(4). https://doi.org/10.1116/5.0025819
MLA:
Goldberg, Aaron Z., et al. "Extremal quantum states." AVS Quantum Science 2.4 (2020).
BibTeX: Download