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

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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

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