Multiparty orthogonal product states with minimal genuine nonlocality

Sumit Rout, Ananda G. Maity, Amit Mukherjee, Saronath Halder, and Manik Banik
Phys. Rev. A 104, 052433 – Published 30 November 2021

Abstract

Nonlocality without entanglement and its subsequent generalizations offer deep information-theoretic insights and subsequently find several useful applications. The concept of a genuinely nonlocal set of product states emerges as a natural multipartite generalization of this phenomenon. The existence of such sets eventually raises the problem concerning their entanglement-assisted discrimination. Here, we construct examples of genuinely nonlocal product states for an arbitrary number of parties. The strength of genuine nonlocality of these sets can be considered minimal as their perfect discrimination is possible with entangled resources residing in Hilbert spaces having the smallest possible dimensions. Our constructions lead to fully separable measurements that are impossible to implement even if all but one party come together. Furthermore, they also provide the opportunity to compare different multipartite states that otherwise are incomparable under single copy local manipulation.

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  • Received 23 August 2021
  • Revised 23 September 2021
  • Accepted 11 November 2021

DOI:https://doi.org/10.1103/PhysRevA.104.052433

©2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Sumit Rout1, Ananda G. Maity2, Amit Mukherjee2, Saronath Halder3, and Manik Banik4

  • 1International Centre for Theory of Quantum Technologies, University of Gdańsk, 80-308 Gdańsk, Poland
  • 2S. N. Bose National Center for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700106, India
  • 3Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211019, India
  • 4School of Physics, IISER Thiruvananthapuram, Vithura, Kerala 695551, India

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Issue

Vol. 104, Iss. 5 — November 2021

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