Realignment separability criterion assisted with filtration for detecting continuous-variable entanglement
arXiv:2104.07510 · doi:10.1103/PhysRevA.104.022427
Abstract
We introduce a weak form of the realignment separability criterion which is particularly suited to detect continuous-variable entanglement and is physically implementable (it requires linear optics transformations and homodyne detection). Moreover, we define a family of states, called Schmidt-symmetric states, for which the weak realignment criterion reduces to the original formulation of the realignment criterion, making it even more valuable as it is easily computable especially in higher dimensions. Then, we focus in particular on Gaussian states and introduce a filtration procedure based on noiseless amplification or attenuation, which enhances the entanglement detection sensitivity. In some specific examples, it does even better than the original realignment criterion.
arXiv commentMinor corrections in v2 to match the published version of the paper
References in corpus (26)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Gaussian Quantum Information
- Entanglement detection
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Conditions for a class of entanglement transformations
- The characterization of Gaussian operations and Distillation of Gaussian States
- Bound entangled Gaussian states
- Gaussian transformations and distillation of entangled Gaussian states
- Inseparability criteria for bipartite quantum states
- Further results on the cross norm criterion for separability
- Modes and states in Quantum Optics
- Entanglement and permutational symmetry
- Unitarily localizable entanglement of Gaussian states
- Virtual noiseless amplification and Gaussian post-selection in continuous-variable quantum key distribution
- Entropic Entanglement Criteria for Continuous Variables
- Noiseless loss suppression in quantum optical communication
- Entanglement detection beyond the cross-norm or realignment criterion
- Gaussian entanglement revisited
- Heralded noiseless amplification and attenuation of non-gaussian states of light
- Detecting and estimating continuous-variable entanglement by local orthogonal observables
- Noiseless Linear Amplifiers for Multimode States
- Continuous-variable entanglement distillation by cascaded photon replacement
- A probabilistic phase-insensitive optical squeezer in peaceful coexistence with causality