2013/10/31 by Tzu-Chieh Wei, Poya Haghnegahdar, Robert Raussendorf
Computer Science · Mathematics · Physics and Astronomy · #Computation #Condensed matter physics #Frustration #Mathematics #Molecule #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Theoretical physics #Universality (dynamical systems) #Valence bond theory #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.90.042333
published as Phys. Rev. A 90, 042333 (2014) · 8 pages, 5 figures, title changed in published version
openalex publication_date 2014/10/28 · arxiv created 2015/01/29 · arxiv updated 2015/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.