Characterizing the entanglement of bipartite quantum systems

By Vittorio Giovannetti, Stefano Mancini, David Vitali, Paolo Tombesi. 2002

161 citations recorded by the source corpus.

We derive a separability criterion for bipartite quantum systems which generalizes the already known criteria. It is based on observables having generic commutation relations. We then discuss in detail the relation among these criteria.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/b233c3bf04fbfb33a0696285f36d66ab8e5924ec

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum metrology with nonclassical states of atomic ensembles (2016, background): “It is also a necessary and sufficient condition for mode entanglement in Gaussian states (Duan et al., 2000a; Simon, 2000), see also (Gessner et al., 2016, 2017; Giovannetti et al., 2003; Shchukin and Vogel, 2005; Walborn et al., 2009) for further (and sharper) conditions.”
Geometry of Quantum States: Index (2007, background): “27 Separability criteria not discussed here include a criterion obtained by expanding a mixed state in the Fourier basis [741], a relation between purity of a state and its maximal projection on a pure state [593], an application of uncertainty relations for non-local observables [337, 440, 370], re”
Quantum Information with Continuous Variables (2004, unknown): “A generalization of these two-party separability conditions can be found in the work of Giovannetti et al. 2003 , including a discussion on how they are related to each other.”