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Open Quantum Systems Decoherence
Quantum Simulation
Quantum State Preparation Representation
Quantum walk on a comb with infinite teeth
arXiv
Authors: Francois David, Thordur Jonsson
Year
2021
Paper ID
63103
Status
Preprint
Abstract Read
~2 min
Abstract Words
99
Citations
N/A
Abstract
We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t-1. We analyse the diffusion along the spine and into the teeth and show that the walk can escape into the teeth with a finite probability and goes to infinity along the spine with a finite probability. The walk along the spine and into the teeth behaves qualitatively as a quantum random walk on a line. This behaviour is quite different from that of classical random walk on the comb.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2021 reference point for readers tracking recent quantum research.
- We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t^-1.
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