Certifying emergent genuine multipartite entanglement with a partially blind witness
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Genuine multipartite entanglement underlies correlation experiments corroborating quantum mechanics and it is an expedient empowering many quantum technologies. One of many counterintuitive facets of genuine multipartite entanglement is its ability to exhibit an emergent character. That is, one can infer its presence in some multipartite states merely from a set of its separable marginals. Here we show that the effect can also be found in the context of Gaussian states of bosonic systems. Specifically, we construct examples of multimode Gaussian states carrying genuine multipartite entanglement which can be verified solely from separable nearest-neighbor two-mode marginals. The key tool of our construction is an entanglement witness acting only on some two-mode reductions of the global covariance matrix, which we find by a numerical solution of a semidefinite program. We also propose an experimental scheme for preparation of the simplest three-mode state, which requires interference of three correlatively displaced squeezed beams on two beam splitters. Besides revealing the concept of emergent genuine multipartite entanglement in the Gaussian scenario and bringing it closer to experimentally testable form, our results pave the way to effective diagnostics methods of global properties of multipartite states without complete tomography.
Nordgren , V , Leskovjanová , O , Provazník , J , Johnston , A , Korolkova , N & Mišta , L 2022 , ' Certifying emergent genuine multipartite entanglement with a partially blind witness ' , Physical Review A , vol. 106 , no. 6 , 062410 . https://doi.org/10.1103/PhysRevA.106.062410
Physical Review A
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DescriptionFunding: O.L. and J.P. acknowledge internal support by Palacký University through the projects IGAPrF-2021-006 and IGA-PrF-2022-005. J.P. also acknowledges support from Project No. 22-08772S of the Grant Agency of Czech Republic (GAR). J.P. further acknowledges using the computational cluster at the Department of Optics. V.N. and N.K. have been supported by the Scottish Universities Physics Alliance (SUPA) and by the Engineering and Physical Sciences Research Council (EPSRC). N.K. was supported by the EU Flagship on Quantum Technologies, project PhoG (820365).
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