Hybrid valence-bond states for universal quantum computation

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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  • Stony Brook University (SBU)
  • University of British Columbia
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Details

OriginalspracheEnglisch
Aufsatznummer042333
FachzeitschriftPhysical Review A - Atomic, Molecular, and Optical Physics
Jahrgang90
Ausgabenummer4
PublikationsstatusVeröffentlicht - 28 Okt. 2014
Extern publiziertJa

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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Hybrid valence-bond states for universal quantum computation. / Wei, Tzu Chieh; Haghnegahdar, Poya; Raussendorf, Robert.
in: Physical Review A - Atomic, Molecular, and Optical Physics, Jahrgang 90, Nr. 4, 042333, 28.10.2014.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Wei TC, Haghnegahdar P, Raussendorf R. Hybrid valence-bond states for universal quantum computation. Physical Review A - Atomic, Molecular, and Optical Physics. 2014 Okt 28;90(4):042333. doi: 10.48550/arXiv.1310.5100, 10.1103/PhysRevA.90.042333
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