Hybrid valence-bond states for universal quantum computation

Tzu-Chieh Wei, Poya Haghnegahdar, and Robert Raussendorf
Phys. Rev. A 90, 042333 – Published 28 October 2014

Abstract

The spin-3/2 Affleck-Kennedy-Lieb-Tasaki (AKLT) valence-bond state on a hexagonal lattice was shown to be a universal resource state for measurement-based quantum computation (MBQC). Can AKLT states of higher spin magnitude support universal MBQC? We demonstrate that several hybrid two-dimensional AKLT states involving a mixture of spin-2 and other lower-spin entities, such as spin-3/2 and spin-1, are also universal for MBQC. This significantly expands universal resource states in the AKLT family. Even though frustration may be a hindrance to quantum computational universality, lattices can be modified to yield AKLT states that are universal. The family of AKLT states thus provides a versatile playground for quantum computation.

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  • Received 12 June 2014

DOI:https://doi.org/10.1103/PhysRevA.90.042333

©2014 American Physical Society

Authors & Affiliations

Tzu-Chieh Wei

  • C. N. Yang Institute for Theoretical Physics and Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, New York 11794-3840, USA

Poya Haghnegahdar and Robert Raussendorf

  • Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada

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Vol. 90, Iss. 4 — October 2014

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