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arXiv · 0812.4067

Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation

Xie Chen·Bei Zeng·Zhengcheng Gu·Beni Yoshida·Isaac L. Chuang
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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.

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Xie Chen, Bei Zeng, Zhengcheng Gu, Beni Yoshida, Isaac L. Chuang. 2008-12-21. Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation. https://doi.org/10.1103/physrevlett.102.220501

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