Realignment separability criterion assisted with filtration for detecting continuous-variable entanglement
| Autor: | Matthieu Arnhem, Ali Asadian, Nicolas J. Cerf, Anaelle Hertz |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics Gaussian FOS: Physical sciences Quantum entanglement 16. Peace & justice 01 natural sciences 010305 fluids & plasmas Continuous variable symbols.namesake Linear optics Homodyne detection 0103 physical sciences Filtration (mathematics) symbols Sensitivity (control systems) Astrophysics::Earth and Planetary Astrophysics 010306 general physics Focus (optics) Quantum Physics (quant-ph) Algorithm |
| DOI: | 10.48550/arxiv.2104.07510 |
| Popis: | 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. Comment: Minor corrections in v2 to match the published version of the paper |
| Databáze: | OpenAIRE |
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