广义测度的二叉搜索树

二叉树自旋网络中的高保真态转移

High fidelity state transfer in binary tree spin networks

在量子自旋网络的背景下，研究了量子态在二叉树结构上的传播。对于二阶二叉树，提出了一种简单的协议，它允许实现任意高的传输保真度。它不需要微调的本地字段和两个节点耦合的中间自旋。相反，它假设在预期的接收节点上进行简单的本地操作：它们的作用是破坏网络的横向对称性，从而引起传播信号的有效重新聚焦。讨论了如何将这些效应推广到任意阶二叉树的一些想法。

Spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers

We propose two novel types of spatially multiplexed single-photon sources based on incomplete binary-tree multiplexers. The incomplete multiplexers are extensions of complete binary-tree multiplexers, and they contain incomplete branches either at the input or at the output of them. We analyze and optimize these systems realized with general asymmetric routers and photon-number-resolving detectors by applying a general statistical theory introduced previously that includes all relevant loss mechanisms. We show that the use of any of the two proposed multiplexing system can lead to higher singl…

Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements

In this work, quantum state transfer (QST) over binary-tree spin networks is studied by using advantages of partially collapsing measurements. To this aim, we perform initially a weak measurement (WM) on central qubit of the binary-tree network, which encoding the state of concern and after time evolution of the whole system, a quantum measurement reversal (QMR) on the destined qubit is performed. By taking the optimal value of the QMR, it is shown that the QST can be improved considerably by controlling the WM strength and by choosing it close enough to 1, near-perfect QST can be achieved. We…

Representation of binary classification trees with binary features by quantum circuits

We propose a quantum representation of binary classification trees with binary features based on a probabilistic approach. By using the quantum computer as a processor for probability distributions, a probabilistic traversal of the decision tree can be realized via measurements of a quantum circuit. We describe how tree inductions and the prediction of class labels of query data can be integrated into this framework. An on-demand sampling method enables predictions with a constant number of classical memory slots, independent of the tree depth. We experimentally study our approach using both a…

齐次二叉树的临界性质

Critical properties of homogeneous binary trees

多体状态的波函数承认表示在一个统一的二叉树张量分解的服从幂律两体相关函数。任何这样的状态都可以与平移不变哈密顿量的基态相关联，该平移不变哈密顿量取决于系统位置的维度，最多涉及第三相邻位置之间的耦合。对它们的频谱的详细分析表明，它们允许一个指数大的地面空间。