Emergence of Randomness and Arrow of Time in Quantum Walks

Details Emergence of Randomness and Arrow of Time in Quantum Walks Emergence of Randomness and Arrow of Time in Quantum Walks

2010-01-22

arxiv.org/abs/1001.3989v2

Phys. Rev. A 81, 062129 (2010)

Physics

Quantum Physics

6 pages, 3 figures

Scientific paper

10.1103/PhysRevA.81.062129

Quantum walks are powerful tools not only to construct the quantum speedup algorithms but also to describe 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.

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