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

Sabine Wölk, Marcus Huber, Otfried Gühne

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)


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. © 2014 American Physical Society.
Original languageEnglish
Article number022315
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
Publication statusPublished - 15 Aug 2014


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