Classical analog of the quantum marginal problem

Leskovjanová, Olga; Mišta, Ladislav

doi:10.1103/physreva.101.032341

Cited by 3 publications

(2 citation statements)

References 26 publications

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“…[55] using the method developed here, which would also take into account the experimental errors, is beyond the scope of the present paper and will be addressed elsewhere. Finally, the presented findings also stimulate theoretical questions concerning the existence of a Gaussian classical analog of the quantum marginal problem [57] or the extendibility of the entanglement marginal problem [16] to Gaussian case. On a more general level, our results contribute to the development of methods of detection of global properties of multipartite quantum systems from partial information.…”

Section: Discussionmentioning

confidence: 64%

Certifying emergent genuine multipartite entanglement with a partially blind witness

et al. 2022

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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 nearestneighbor 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.

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Section: Discussionmentioning

confidence: 64%

Certifying emergent genuine multipartite entanglement with a partially blind witness

et al. 2022

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“…On one hand, they point at an alternative approach towards experimental investigation of the remarkable concept of genuine multipartite entanglement verifiable from incomplete sets of separable marginals. On the other hand, they also stimulate theoretical questions concerning the existence of a Gaussian classical analog of the quantum marginal problem [43] or the extendibility of the entanglement marginal problem [44] to Gaussian case. On a more general level, our results contribute to the development of methods of detection of global properties of multipartite quantum systems from partial information.…”

Section: Discussionmentioning

confidence: 99%

Convicting emergent multipartite entanglement with evidence from a partially blind witness

Nordgren¹,

Leskovjanová²,

Provazník³

et al. 2021

Preprint

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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 be found also 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-neighbour two-mode marginals. The key tool of our construction is a genuine multipartite entanglement witness acting only on some two-mode reductions of the global covariance matrix, which we find by a numerical solution of a semi-definite programme. 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.

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A Causal Model for Quantifying Multipartite Classical and Quantum Correlations

Wang,

Wunder

2024

2024 IEEE International Symposium on Information Theory (ISIT)

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Classical analog of the quantum marginal problem

Cited by 3 publications

References 26 publications

Certifying emergent genuine multipartite entanglement with a partially blind witness

Certifying emergent genuine multipartite entanglement with a partially blind witness

Convicting emergent multipartite entanglement with evidence from a partially blind witness

A Causal Model for Quantifying Multipartite Classical and Quantum Correlations

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