Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation
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Chen-2009-Gapped Two-Body Hami.pdf
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Author(s) • • • •
Chen, Xie
Zeng, Bei
Gu, Zheng-Cheng
Yoshida, Beni
Chuang, Isaac L.
Date Issued
June 2009
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Chen, Xie et al. “Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation.” Physical Review Letters 102.22 (2009): 220501. © 2009 The American Physical Society
Version
Final published version
Abstract
Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stable and experimentally accessible, by virtue of being the unique ground state of a physically reasonable Hamiltonian made of two-body, nearest-neighbor interactions. We introduce such a state, composed of six-state particles on a hexagonal lattice, and describe a general method for analyzing its properties based on its projected entangled pair state representation.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevLett.102.220501