Physics – Quantum Physics
Scientific paper
2005-04-05
International Journal of Modern Physics B, vol. 18, Nos, 4-5 (2004) 623-631
Physics
Quantum Physics
8 pages, 4 figures
Scientific paper
10.1142/S0217979204024240
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 $\delta$ 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 $\pi$-pulse indefinitely freezes the contents of the input/output register, with a probability depending only on the ratio $\delta/s$.
Falco Diego de
Tamascelli Dario
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