Emergence of randomness and arrow of time in quantum walks

Emergence of randomness and arrow of time in quantum walks
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DOI:
10.1103/physreva.81.062129
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发表时间:
2010-01
期刊:
影响因子:
2.9
通讯作者:
Yutaka Shikano;Kota Chisaki;E. Segawa;N. Konno
Yutaka Shikano;Kota Chisaki;E. Segawa;N. Konno
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Yutaka Shikano;Kota Chisaki;E. Segawa;N. Konno

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量子行走不仅是构造量子加速算法的有力工具,而且也是描述物理过程中特定模型的有力工具。此外,离散时间量子行走已在各种设置的实验实现。我们将量子行走的概念应用于量子基础中的问题。我们表明,随机性和时间箭头的量子行走逐渐出现的周期性投影测量从数学上获得的极限分布下的时间尺度变换。
Quantum walks are powerful tools not only for constructing the quantum speedup algorithms but also for describing specific models in physical processes. Furthermore, the discrete time quantum walk has been experimentally realized in various setups. We apply the concept of the quantum walk to the problems in quantum foundations. We show that randomness and the arrow of time in the quantum walk gradually emerge by periodic projective measurements from the mathematically obtained limit distribution under the time-scale transformation.