One-parameter class of uncertainty relations based on entropy power

Jizba, Petr, Ma, Yue, Hayes, Anthony and Dunningham, Jacob A (2016) One-parameter class of uncertainty relations based on entropy power. Physical Review E, 93 (6). 0104. ISSN 1539-3755

[img] PDF - Accepted Version
Restricted to SRO admin only

Download (827kB)
[img] PDF - Published Version
Download (166kB)

Abstract

We use the concept of entropy power to derive a new one-parameter class of information-theoretic uncertainty relations for pairs of conjugate observables in an infinite-dimensional Hilbert space. This class constitutes an infinite tower of higher-order statistics uncertainty relations, which allows one in principle to determine the shape of the underlying information-distribution function by measuring the relevant entropy powers. We illustrate the capability of the new class by discussing two examples: superpositions of vacuum and squeezed states and the Cauchy-type heavy-tailed wave function.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Richard Chambers
Date Deposited: 06 Jun 2016 12:09
Last Modified: 11 Sep 2017 08:56
URI: http://sro.sussex.ac.uk/id/eprint/61312

View download statistics for this item

📧 Request an update
Project NameSussex Project NumberFunderFunder Ref
UK Quantum Technology Hub: NQIT-Networked Quantum Information TechnologiesG1503EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCILEP/M013243/1