Unified approach to entanglement criteria using the Cauchy-Schwarz and Hölder inequalities

TitleUnified approach to entanglement criteria using the Cauchy-Schwarz and Hölder inequalities
Publication TypeJournal Article
Year of Publication2014
AuthorsWölk, S, Huber, M, Gühne, O
JournalPhysical Review A
Volume90
Date Published8/2014
ISSN1094-1622
Abstract

We present a unified approach to different recent entanglement criteria. Although they were developed in different ways, we show that they are all applications of a more general principle given by the Cauchy-Schwarz inequality. We explain this general principle and show how to use it to derive not only already known entanglement criteria, but also criteria which were unknown so far. We systematically investigate its potential and limitations to detect bipartite and multipartite entanglement. Furthermore, we describe how to apply our generalized entanglement detection scheme to find the measurement directions to verify the entanglement of a given state experimentally.

DOI10.1103/PhysRevA.90.022315
Short TitlePhys. Rev. A
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