Measurement-based quantum computation in a two-dimensional phase of matter
Measurement-based quantum computation in a two-dimensional phase of matter
复制标题
物质二维相中基于测量的量子计算
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
S. Bartlett
中科院分区：
文献类型：
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作者：
Andrew S. Darmawan;G. Brennen;S. Bartlett
最近的研究表明，基于测量的量子计算（MBQC）所需的非局域关联可以在蜂窝晶格上的最近邻自旋3/2相互作用的Affleck-Kennedy-Lieb-Tasaki（AKLT）模型的基态中揭示。这种状态不是奇异的，而是存在于由短程关联价键固态表征的一大族哈密顿量的基态的无序相中。通过应用局部滤波和自适应单粒子测量，我们表明，在无序相的大多数状态可以减少到一个图形的相关量子位，这是一个可扩展的资源MBQC。在无序相和Néel有序相之间的过渡处，我们发现了从普适态到非普适态的过渡，这可以通过简化图态中的渗流标度来证明。
Recently, it was shown that the non-local correlations needed for measurement-based quantum computation (MBQC) can be revealed in the ground state of the Affleck–Kennedy–Lieb–Tasaki (AKLT) model involving nearest-neighbour spin-3/2 interactions on a honeycomb lattice. This state is not singular but resides in the disordered phase of the ground states of a large family of Hamiltonians characterized by short-range-correlated valence bond solid states. By applying local filtering and adaptive single-particle measurements, we show that most states in the disordered phase can be reduced to a graph of correlated qubits that is a scalable resource for MBQC. At the transition between the disordered and Néel ordered phases, we find a transition from universal to non-universal states as witnessed by the scaling of percolation in the reduced graph state.