Generalized conditions for genuine multipartite continuous-variable entanglement
arXiv:1503.05001 · doi:10.1103/PhysRevA.92.042328
Abstract
We derive a hierarchy of continuous-variable multipartite entanglement conditions in terms of second-order moments of position and momentum operators that generalizes existing criteria. Each condition corresponds to a convex optimization problem which, given the covariance matrix of the state, can be numerically solved in a straightforward way. The conditions are independent of partial transposition and thus are also able to detect bound entangled states. Our approach can be used to obtain an analytical condition for genuine multipartite entanglement. We demonstrate that even a special case of our conditions can detect entanglement very efficiently. Using multi-objective optimization it is also possible to numerically verify genuine entanglement of some experimentally realizable states.
10 pages, 1 figure
References in corpus (4)
- Full multipartite entanglement of frequency comb Gaussian states
- Criteria for genuine N-partite continuous variable entanglement and Einstein-Podolsky_Rosen steering
- Hierarchies of multipartite entanglement for continuous-variable states
- Tripartite separability conditions exponentially violated by Gaussian states
Cited by in corpus (15)
- Modes and states in Quantum Optics
- Generating Multimode Entangled Microwaves with a Superconducting Parametric Cavity
- Tripartite Genuine Non-Gaussian Entanglement in Three-Mode Spontaneous Parametric Downconversion
- Is "genuine multipartite entanglement" really genuine?
- Squeezing and multimode entanglement of surface acoustic wave phonons
- Entanglement and squeezing in continuous-variable systems
- Multipartite entanglement in a microwave frequency comb
- Generation and structuring of multipartite entanglement in Josephson parametric system
- Recovering quantum properties of continuous-variable states in the presence of measurement errors
- Genuine tripartite entanglement in graviton-matter interactions
- Continuous-variable square-ladder cluster states in a microwave frequency comb
- Multi-copy activation of genuine multipartite entanglement in continuous-variable systems
- Minimal criteria for continuous-variable genuine multipartite entanglement
- Entanglement across sliding-pinned transition of ion chains in optical cavities
- Multipartite continuous-variable quantum nondemolition interaction and entanglement certification and monitoring