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Title: Genuine N-partite entanglement without N-partite correlation functions
Authors: Tran, Minh Cong
Zuppardo, Margherita
de Rosier, Anna
Knips, Lukas
Laskowski, Wiesław
Paterek, Tomasz
Weinfurter, Harald
Keywords: Bell Inequalities
Quantum Entanglement
Issue Date: 2017
Source: Tran, M. C., Zuppardo, M., de Rosier, A., Knips, L., Laskowski, W., Paterek, T., et al. (2017). Genuine N-partite entanglement without N-partite correlation functions. Physical Review A, 95(6), 062331-.
Series/Report no.: Physical Review A
Abstract: A genuinely N-partite entangled state may display vanishing N-partite correlations measured for arbitrary local observables. In such states the genuine entanglement is noticeable solely in correlations between subsets of particles. A straightforward way to obtain such states for odd N is to design an “antistate” in which all correlations between an odd number of observers are exactly opposite. Evenly mixing a state with its antistate then produces a mixed state with no N-partite correlations, with many of them genuinely multiparty entangled. Intriguingly, all known examples of “entanglement without correlations” involve an odd number of particles. Here we further develop the idea of antistates, thereby shedding light on the different properties of even and odd particle systems. We conjecture that there is no antistate to any pure even-N-party entangled state making the simple construction scheme unfeasible. However, as we prove by construction, higher-rank examples of entanglement without correlations for arbitrary even N indeed exist. These classes of states exhibit genuine entanglement and even violate an N-partite Bell inequality, clearly demonstrating the nonclassical features of these states as well as showing their applicability for quantum information processing.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.95.062331
Schools: School of Physical and Mathematical Sciences 
Organisations: MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit
Rights: © 2017 American Physical Society (APS). This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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