Self-correcting quantum computers
Self-correcting quantum computers
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DOI：
10.1088/1367-2630/15/5/055023
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发表时间：
2013-05-29
影响因子：
3.3
通讯作者：
Martin-Delgado, M. A.
中科院分区：
文献类型：
--
作者：
Bombin, H.;Chhajlany, R. W.;Martin-Delgado, M. A.
量子计算机（QC）对热噪声具有抗性的概念是否不切实际？我们从建设性的角度来探讨这个问题，并表明局域量子哈密顿量模型提供了自纠错量子计算机。为此，我们首先针对一个稳定子码模型成为自纠错量子存储器给出了激发连通性的一个充分条件。然后我们研究了任意维度下拓扑稳定子码的两个主要例子，并确定了它们的自纠错能力。此外，我们探讨了拓扑色码的横向性质，表明六维色码提供了一个自纠错模型，该模型允许在七个空间维度中对一组通用操作进行横向和局域实现。最后，我们给出了在有限温度下初始化此类量子存储器的一个程序。
Is the notion of a quantum computer (QC) resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting QCs. To this end, we first give a sufficient condition on the connectedness of excitations for a stabilizer code model to be a self-correcting quantum memory. We then study the two main examples of topological stabilizer codes in arbitrary dimensions and establish their self-correcting capabilities. Also, we address the transversality properties of topological color codes, showing that six-dimensional color codes provide a self-correcting model that allows the transversal and local implementation of a universal set of operations in seven spatial dimensions. Finally, we give a procedure for initializing such quantum memories at finite temperature.