Robertson-Schrodinger-type formulation of Ozawa's noise-disturbance uncertainty principle

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Catarina Bastos (Author) Other; Alex E Bernardini (Author) Other; Orfeu Bertolami (Author) FCUP; Nuno Costa Dias (Author) Other; Joao Nuno Prata (Author) Other

Journal

Title: Physical Review A - Atomic, Molecular, and Optical Physics

Vol. 89

ISSN: 1050-2947

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 20 Citations

Scopus - 20 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-009-9Y4

DOI: 10.1103/physreva.89.042112

Abstract (EN): In this work we derive a matrix formulation of a noise-disturbance uncertainty relation, which is akin to the Robertson-Schrodinger uncertainty principle. Our inequality is stronger than Ozawa's uncertainty principle and takes noise-disturbance correlations into account. Moreover, we show that for certain types of measurement interactions it is covariant with respect to linear symplectic transformations of the noise and disturbance operators. Finally, we also study the tightness of our matrix inequality.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6