Detecting genuine multipartite continuous-variable entanglement
By Peter van Loock, Akira Furusawa. 2002
349 citations recorded by the source corpus.
We derive necessary conditions in terms of the variances of position and momentum linear combinations for all kinds of separability of a multiparty multimode continuous-variable state. Their violations can be sufficient for genuine multipartite entanglement, provided the combinations contain both conjugate variables of all modes. Hence, a complete state determination, for example, by detecting the entire correlation matrix of a Gaussian state, is not needed.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/65f35be57a00634035f3e6e5c80efe480fbc0cca
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum feedback: theory, experiments, and applications (2014, positive): “[381] to evaluate themultipartite entanglement.”
- Three-photon energy–time entanglement (2012, methodology): “Uncertainty relations Consider three separable particles each described by the dimensionless observables xk, pk (k = 1, 2, 3) fulfilling the commutation relations [xk, pl] = iδkl (note: the derivation in [23] uses a commutator with a different scaling factor).”
- Modes and states in quantum optics (2019, background): “Reconfigurable Gaussian entangled states have been experimentally produced, characterized and used for quantum information purposes (Cai et al., 2017; Chen et al., 2014; Menicucci et al., 2008; Titchener et al., 2016; Van Loock and Furusawa, 2003; Yokoyama et al., 2013).”
- Quantum Information with Continuous Variables (2004, background): “Similarly, for three parties and modes, one may attempt to detect violations of inequalities of the form van Loock and Furusawa, 2003 û 2 + v̂ 2 f h1,h2,h3,g1,g2,g3 , 154 where û h1x̂1 + h2x̂2 + h3x̂3, v̂ g1p̂1 + g2p̂2 + g3p̂3.”