Measurement-Based Quantum Computation on Symmetry Breaking Thermal States
Measurement-Based Quantum Computation on Symmetry Breaking Thermal States
复制标题
基于测量的对称破缺热态量子计算
DOI：
10.1103/physrevlett.110.120502
复制
发表时间：
2013
影响因子：
8.6
通讯作者：
and M. Murao
中科院分区：
文献类型：
--
作者：
K. Fujii;Y. Nakata;M. Ohzeki;and M. Murao
我们考虑基于测量的量子计算（MBQC）的相互作用的集群哈密顿量的热状态包含集群稳定剂之间的相互作用，经历热相变。我们发现，在临界温度以下的对称性破缺热态的长程顺序大大提高了MBQC对热激发的鲁棒性。具体来说，我们在二维的情况下，证明MBQC的增强拓扑保护低于临界温度在三维的情况下。相互作用的集群哈密顿允许我们执行MBQC，即使在1个数量级的温度高于自由集群哈密顿。
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.