Welcome to the SPIE Quantum Optics and Photon Counting 2021, a part of Optics + Optoelectronics Digital Forum 2021! Conference co-chairs Ivan Prochazka, Roman Sobolewski, Martin Stefanak, Aurel Gabris and our Program Committee members, we all thank you for joining us in this exciting event and sharing your cutting-edge research with the colleagues from around the world.
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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