Witnessing multipartite entanglement
arXiv:quant-ph/0309043 · doi:10.1103/PhysRevLett.92.087902
Abstract
We present the experimental detection of genuine multipartite entanglement using entanglement witness operators. To this aim we introduce a canonical way of constructing and decomposing witness operators so that they can be directly implemented with present technology. We apply this method to three- and four-qubit entangled states of polarized photons, giving experimental evidence that the considered states contain true multipartite entanglement.
4 pages, 2 figures
References in corpus (15)
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Three qubits can be entangled in two inequivalent ways
- Bell Inequalities and the Separability Criterion
- Optimization of entanglement witnesses
- Classification of mixed three-qubit states
- Bell-type inequalities to detect true n-body non-separability
- Detection of entanglement with few local measurements
- Experimental Detection of Entanglement with Polarized Photons
- Distillability Criterion for all Bipartite Gaussian States
- Separability Criterion for all bipartite Gaussian States
- Reflections upon separability and distillability
- Four Photon Entanglement from Down Conversion
- Experimental observation of four-photon entanglement from down-conversion
- Investigating three qubit entanglement with local measurements
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