Detection of bound entanglement in continuous variable systems
arXiv:1006.1494 · doi:10.1103/PhysRevA.82.032323
Abstract
We present several entanglement conditions in order to detect bound entangled states in continuous variable systems. Specifically, Werner and Wolf [Phys. Rev. Lett. 86, 3658 (2001)] and Horodecki and Lewenstein [Phys. Rev. Lett. 85, 2657 (2000)] have proposed examples of bound entangled Gaussian state and bound entangled non-Gaussian state, respectively, of which entanglement can be detected by using our entanglement conditions.
5 pages, 1 figure
References in corpus (27)
- Entanglement detection
- Spin squeezing and entanglement
- Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
- Covariance matrices and the separability problem
- Entanglement and permutational symmetry
- Multimode uncertainty relations and separability of continuous variable states
- Bell inequalities for continuous-variable correlations
- Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
- Unifying several separability conditions using the covariance matrix criterion
- Necessary and sufficient conditions for bipartite entanglement
- Inseparability criteria based on matrices of moments
- Further results on entanglement detection and quantification from the correlation matrix criterion
- Uncertainty inequalities as entanglement criteria for negative partial-transpose states
- A lower bound of concurrence for multipartite quantum states
- Comment on ``Inseparability Criteria for Continuous Bipartite Quantum States''
- Local commutativity versus Bell inequality violation for entangled states and versus non-violation for separable states
- Bipartite concurrence and localized coherence
- Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states
- Entanglement condition via su(2) and su(1,1) algebra using Schr{ö}dinger-Robertson uncertainty relation
- Bipartite quantum systems: on the realignment criterion and beyond
- Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
- A class of inequalities inducing new separability criteria for bipartite quantum systems
- Strengthened Bell inequalities for orthogonal spin directions
- Test of nonlocality for a continuos-variable state based on arbitrary number of measurement outcomes
- Separability and Entanglement of Quantum States Based on Covariance Matrices
- Positive maps, majorization, entropic inequalities, and detection of entanglement
- Unitary equivalence between ordinary intelligent states and generalized intelligent states
Cited by in corpus (4)
- Dynamics-Based Entanglement Witnesses for Non-Gaussian States of Harmonic Oscillators
- Detecting and estimating continuous-variable entanglement by local orthogonal observables
- Preparation of bipartite bound entangled Gaussian states in quantum optics
- Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states