Characterizing Multipartite Entanglement with Moments of Random Correlations

Andreas Ketterer, Nikolai Wyderka, and Otfried Gühne
Phys. Rev. Lett. 122, 120505 – Published 29 March 2019
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Abstract

The experimental detection of multipartite entanglement usually requires a number of appropriately chosen local quantum measurements that are aligned with respect to a previously shared common reference frame. The latter, however, can be a challenging prerequisite, e.g., for satellite-based photonic quantum communication, making the development of alternative detection strategies desirable. One possibility for avoiding the distribution of classical reference frames is to perform a number of local measurements with settings distributed uniformly at random. In this Letter, we follow such a treatment and show that an improved detection and characterization of multipartite entanglement is possible by combining statistical moments of different order. To do so, we make use of designs that are pseudorandom processes allowing us to link the present entanglement criteria to ordinary reference frame independent ones. The strengths of our methods are illustrated in various cases, starting with two qubits and followed by more involved multipartite scenarios.

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  • Received 29 August 2018
  • Revised 10 December 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.120505

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Andreas Ketterer*, Nikolai Wyderka, and Otfried Gühne

  • Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, 57068 Siegen, Germany

  • *Present address: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.

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Issue

Vol. 122, Iss. 12 — 29 March 2019

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