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Title: Entropic uncertainty relations and entanglement

Abstract

We discuss the relationship between entropic uncertainty relations and entanglement. We present two methods for deriving separability criteria in terms of entropic uncertainty relations. In particular, we show how any entropic uncertainty relation on one part of the system results in a separability condition on the composite system. We investigate the resulting criteria using the Tsallis entropy for two and three qubits.

Authors:
 [1];  [1]
  1. Institut fuer Theoretische Physik, Universitaet Hannover, Appelstrasse 2, D-30167 Hannover (Germany)
Publication Date:
OSTI Identifier:
20645861
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 70; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.70.022316; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; CORRELATIONS; ENERGY LEVELS; ENTROPY; INFORMATION THEORY; QUANTUM MECHANICS; UNCERTAINTY PRINCIPLE

Citation Formats

Guehne, Otfried, Institut fuer Quantenoptik und Quanteninformation, Oesterreichische Akademie der Wissenschaften, A-6020 Innsbruck, and Lewenstein, Maciej. Entropic uncertainty relations and entanglement. United States: N. p., 2004. Web. doi:10.1103/PhysRevA.70.022316.
Guehne, Otfried, Institut fuer Quantenoptik und Quanteninformation, Oesterreichische Akademie der Wissenschaften, A-6020 Innsbruck, & Lewenstein, Maciej. Entropic uncertainty relations and entanglement. United States. doi:10.1103/PhysRevA.70.022316.
Guehne, Otfried, Institut fuer Quantenoptik und Quanteninformation, Oesterreichische Akademie der Wissenschaften, A-6020 Innsbruck, and Lewenstein, Maciej. Sun . "Entropic uncertainty relations and entanglement". United States. doi:10.1103/PhysRevA.70.022316.
@article{osti_20645861,
title = {Entropic uncertainty relations and entanglement},
author = {Guehne, Otfried and Institut fuer Quantenoptik und Quanteninformation, Oesterreichische Akademie der Wissenschaften, A-6020 Innsbruck and Lewenstein, Maciej},
abstractNote = {We discuss the relationship between entropic uncertainty relations and entanglement. We present two methods for deriving separability criteria in terms of entropic uncertainty relations. In particular, we show how any entropic uncertainty relation on one part of the system results in a separability condition on the composite system. We investigate the resulting criteria using the Tsallis entropy for two and three qubits.},
doi = {10.1103/PhysRevA.70.022316},
journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 70,
place = {United States},
year = {2004},
month = {8}
}