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Frontiers in Optics

A study of multipartite entanglement using hyperentangled photons

Aditya N. Sharma, Kevin T. McCusker, Julio T. Barreiro, Paul G. Kwiat

Published Jan 1, 2011• 0 citations
Publisher

Abstract

We present an experimental study of multipartite entanglement using hyperentangled photon pairs. We first demonstrate some interesting properties of the bound-entangled “Smolin state” and then discuss further studies using this source.
DOI
10.1364/fio.2011.fthe3

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Quantum entanglement exhibits various interesting features that emerge only in high-dimensional systems. One of the most fascinating is bound entanglement, entanglement that cannot be extracted using local operations and classical communication. This thesis describes our work towards an experimental realization of the four-qubit bound-entangled Smolin state, using the polarization and spatial mode of photon pairs. We describe a number of interesting experimental challenges that this work faced. We present our results on entangled two-qubit spatial mode states and hyperentangled four-qubit polarization-spatial-mode states generated by spontaneous parametric down-conversion from a second-order TEM mode pump. Some of the subtleties involved in preparing genuine mixed states in the lab are discussed.
We experimentally investigate the properties of hyperentangled states displaying simultaneous entanglement in multiple degrees of freedom and find that Bell tests beyond the standard Clauser-Horne-Shimony-Holt inequality can reveal a higher-dimensional nature in a device-independent way. Specifically, we show that hyperentangled states possess more than just simultaneous entanglement in separate degrees of freedom but also entanglement in a higher-dimensional Hilbert space. We also verify the steerability of hyperentangled quantum states by steering different photonic degrees of freedom.