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Erschienen in:
01.09.2023
Limit distribution of a continuous-time quantum walk with a spatially 2-periodic Hamiltonian
Erschienen in: Quantum Information Processing | Ausgabe 9/2023
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Abstract
Focusing on a continuous-time quantum walk on \(\mathbb {Z}=\left\{ 0,\pm 1,\pm 2,\ldots \right\} \), we analyze a probability distribution with which the quantum walker is observed at a position. The walker launches off at a localized state, and its system is operated by a spatially periodic Hamiltonian. As a result, we see an asymmetric probability distribution. To catch a long-time behavior, we also try to find a long-time limit theorem and realize that the limit distribution holds a symmetric density function.