Complementarity and quantum walks

Details Complementarity and quantum walks Complementarity and quantum walks

2004-04-07

arxiv.org/abs/quant-ph/0404043v4

Phys. Rev. A 71, 022307 (2005)

Physics

Quantum Physics

7 pages, RevTex, 2 figures; v2 adds references; v3 updated to incorporate feedback and updated references; v4 substantially ex

Scientific paper

10.1103/PhysRevA.71.022307

We show that quantum walks interpolate between a coherent `wave walk' and a random walk depending on how strongly the walker's coin state is measured; i.e., the quantum walk exhibits the quintessentially quantum property of complementarity, which is manifested as a trade-off between knowledge of which path the walker takes vs the sharpness of the interference pattern. A physical implementation of a quantum walk (the quantum quincunx) should thus have an identifiable walker and the capacity to demonstrate the interpolation between wave walk and random walk depending on the strength of measurement.

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