Higher dimensional entanglement without correlations★
Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk,
80-308 Gdańsk, Poland
2 School of Physical and Mathematical Sciences, Nanyang Technological University, 637371 Singapore, Singapore
3 MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, UMI 3654, 117543 Singapore, Singapore
4 Institute of Informatics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland
5 Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
6 Department für Physik, Ludwig-Maximilians-Universität, 80797 München, Germany
a e-mail: email@example.com
Received in final form: 28 November 2018
Published online: 7 February 2019
It has been demonstrated both theoretically and experimentally that genuine multipartite entanglement between qubits can exist even in the absence of multipartite correlations. Here, we provide first examples of this effect in higher dimensional systems – qudits. We construct states in which genuine N-partite entanglement between qudits is supported only by correlations involving strictly less than N particles. The construction differs in several aspects from the ones for qubits. The states introduced here are a natural test-bed for candidate quantifiers of genuinely multipartite quantum correlations.
© The Author(s) 2019. This article is published with open access at Springerlink.com
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