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arXiv quant-ph/9909007quant-ph
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无局部控制的并行量子计算方案

Schemes for Parallel Quantum Computation Without Local Control of Qubits

S. C. Benjamin

摘要:

典型的量子计算方案需要针对特定元素(量子位)的变换(门)。在许多物理系统中,直接目标很难实现;一种替代方案是将局部门编码为全局应用的转换。在这里,我们展示了这种方法的最低物理要求:一个一维阵列组成的两个交替的“类型”的两个状态系统。每个系统只需要对其最近邻居的净状态敏感,即状态1中的数量减去状态2中的数量。此外,我们表明,所有这样的数组可以执行相当一般的并行操作。广泛的物理系统和相互作用是合适的:我们强调两个潜在的实现。

英文摘要:

Typical quantum computing schemes require transformations (gates) to be targeted at specific elements (qubits). In many physical systems, direct targeting is difficult to achieve; an alternative is to encode local gates into globally applied transformations. Here we demonstrate the minimum physical requirements for such an approach: a one-dimensional array composed of two alternating 'types' of two-state system. Each system need be sensitive only to the net state of its nearest neighbors, i.e. the number in state 1 minus the number in state 2. Additionally, we show that all such arrays can perform quite general parallel operations. A broad range of physical systems and interactions are suitable: we highlight two potential implementations.

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