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arXiv quant-ph/0504024quant-ph
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量子定时与同步问题

Quantum Timing and Synchronization Problems

Diego de Falco, Dario Tamascelli

摘要:

费曼的量子计算机模型提供了一个连续时间量子行走的例子。它的计时机制是一个基本线性的自旋链的激励,偶尔有控制的跳跃,允许在平面图上运动。波包的扩展对完成计算的$s$基本步骤的概率造成了限制:为了实现指定的完成概率,需要额外的存储空间量$δ$。在本说明中,我们研究END指令,作为一个测量的位置的时钟激励:一个$π$ -脉冲无限期冻结的输入/输出寄存器的内容,与概率仅取决于比率$δ/s$。

英文摘要:

Feynman's model of a quantum computer provides an example of a continuous-time quantum walk. Its clocking mechanism is an excitation of a basically linear chain of spins with occasional controlled jumps which allow for motion on a planar graph. The spreading of the wave packet poses limitations on the probability of ever completing the $s$ elementary steps of a computation: an additional amount of storage space $δ$ is needed in order to achieve an assigned completion probability. In this note we study the END instruction, viewed as a measurement of the position of the clocking excitation: a $π$-pulse indefinitely freezes the contents of the input/output register, with a probability depending only on the ratio $δ/s$.

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