10 Entanglement Theory with Continuous Variables

Peter van Loock and Evgeny Shchukin

Johannes‐Gutenberg University of Mainz, Institute of Physics, Quanten‐, Atom‐ und Neutronenphysik (QUANTUM), Staudingerweg 7, 55128 Mainz, Germany

10.1 Introduction

When studying the theory of entanglement of quantum mechanical systems, there are various reasons to focus on the entanglement of states described by continuous variables (14). First, one may think that the analysis of entangled continuous‐variable states is a very subtle task, because these states are defined in an infinite‐dimensional Hilbert space. However, it turns out that for a special class of entangled continuous‐variable states, the theoretical description simplifies a lot. ...

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