Quantum circuits for maximally entangled states

Alba Cervera-Lierta, José Ignacio Latorre, and Dardo Goyeneche
Phys. Rev. A 100, 022342 – Published 30 August 2019

Abstract

We design a series of quantum circuits that generate absolute maximally entangled (AME) states to benchmark a quantum computer. A relation between graph states and AME states can be exploited to optimize the structure of the circuits and minimize their depth. Furthermore, we find that most of the provided circuits obey majorization relations for every partition of the system and every step of the algorithm. The main goal of the work consists in testing efficiency of quantum computers when requiring the maximal amount of genuine multipartite entanglement allowed by quantum mechanics, which can be used to efficiently implement multipartite quantum protocols.

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  • Received 16 May 2019

DOI:https://doi.org/10.1103/PhysRevA.100.022342

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Alba Cervera-Lierta1,2,*, José Ignacio Latorre2,3,4, and Dardo Goyeneche5

  • 1Barcelona Supercomputing Center (BSC), 08034 Barcelona, Spain
  • 2Dept. Física Quàntica i Astrofísica, Universitat de Barcelona, 08028 Barcelona, Spain
  • 3Nikhef Theory Group, Science Park 105, 1098 XG Amsterdam, The Netherlands
  • 4Center for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore
  • 5Dept. Física, Facultad de Ciencias Básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile

  • *a.cervera.lierta@gmail.com

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Issue

Vol. 100, Iss. 2 — August 2019

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