Measurement-Based Quantum Computation on Symmetry Breaking Thermal States

被引：17
|
作者：
Fujii, Keisuke [1 ]
Nakata, Yoshifumi [2 ]
Ohzeki, Masayuki [3 ]
Murao, Mio [2 ,4 ]
机构：
[1] Osaka Univ, Grad Sch Engn Sci, Toyonaka, Osaka 5608531, Japan
[2] Univ Tokyo, Grad Sch Sci, Dept Phys, Tokyo 1130033, Japan
[3] Kyoto Univ, Grad Sch Informat, Dept Syst Sci, Sakyo Ku, Kyoto 6068501, Japan
[4] Univ Tokyo, Inst Nano Quantum Informat Elect, Tokyo 1538505, Japan
来源：
PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 12期
关键词：
ACCURACY THRESHOLD; TRAPPED IONS; MEMORY; MODEL; TRANSITION; SIMULATOR; PHASE;
D O I：
10.1103/PhysRevLett.110.120502
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider measurement-based quantum computation (MBQC) on thermal states of the interacting cluster Hamiltonian containing interactions between the cluster stabilizers that undergoes thermal phase transitions. We show that the long-range order of the symmetry breaking thermal states below a critical temperature drastically enhances the robustness of MBQC against thermal excitations. Specifically, we show the enhancement in two-dimensional cases and prove that MBQC is topologically protected below the critical temperature in three-dimensional cases. The interacting cluster Hamiltonian allows us to perform MBQC even at a temperature 1 order of magnitude higher than that of the free cluster Hamiltonian. DOI: 10.1103/PhysRevLett.110.120502
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页数：5
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