Gapped two-body Hamiltonian for continuous-variable quantum computation.
Gapped two-body Hamiltonian for continuous-variable quantum computation.
复制标题
用于连续变量量子计算的有隙二体哈密顿量。
作者：
L. Aolita;A. Roncaglia;A. Ferraro;A. Acín
我们引入了一个家庭的哈密顿系统的测量为基础的量子计算连续变量。哈密顿量（i）是二次的，因此是两体的，（ii）是短程的，（iii）是无阻挫的，（iv）具有与压缩的平方倒数成比例的恒定能隙。它们的基态是著名的高斯图态，是无限压缩极限下量子计算的普遍资源。这些哈密顿量构成了图态绝热制备的基本成分，从而为超越标准光学方法的连续变量量子计算的物理实现开辟了新的途径。我们在这些系统中的热平衡的相关性的特征。特别是，我们证明了跨任何multipartition的相关性包含在其边界，自动产生的相关面积法。
We introduce a family of Hamiltonian systems for measurement-based quantum computation with continuous variables. The Hamiltonians (i) are quadratic, and therefore two body, (ii) are of short range, (iii) are frustration-free, and (iv) possess a constant energy gap proportional to the squared inverse of the squeezing. Their ground states are the celebrated Gaussian graph states, which are universal resources for quantum computation in the limit of infinite squeezing. These Hamiltonians constitute the basic ingredient for the adiabatic preparation of graph states and thus open new venues for the physical realization of continuous-variable quantum computing beyond the standard optical approaches. We characterize the correlations in these systems at thermal equilibrium. In particular, we prove that the correlations across any multipartition are contained exactly in its boundary, automatically yielding a correlation area law.