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6 May 2011 The role of measurement in the recurrence property of discrete timed quantum walks
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Abstract
The quantum mechanical generalisation of random walks (called Quantum Walks) present us with a broader spectrum of possibilities compared to their classical counterparts. The aim of the presented study is to explore a new portion of this area by incorporating a new step in the process of the Quantum Walk unique to quantum mechanics: the measurement. Our focus lies in the characterising number of the recurrence behaviour of the walk (Polya-number). We observe the effect of the standard projective measurement, a yes-no measurement on the origin and the effect of different measurement schemes (periodic and random) on the definition and the numeric value of the Polya-number.
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L. Kecskés, T. Kiss, M. Štefaňak, and I. Jex "The role of measurement in the recurrence property of discrete timed quantum walks", Proc. SPIE 8072, Photon Counting Applications, Quantum Optics, and Quantum Information Transfer and Processing III, 80720U (6 May 2011); https://doi.org/10.1117/12.886813
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