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quant-ph2019★ 34 cited
Quantum walks with sequential aperiodic jumps
Marcelo A. Pires, Sílvio M. Duarte Queirós
We analyze a set of discrete-time quantum walks for which the displacements on a chain follow binary aperiodic jumps according to three paradigmatic sequences: Fibonacci, Thue-Mors…
quant-ph2019★ 17 cited
Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps
Marcelo A. Pires, Giuseppe Di Molfetta, Sílvio M. Duarte Queirós
We extend to the gamut of functional forms of the probability distribution of the time-dependent step-length a previous model dubbed Elephant Quantum Walk, which considers a unifor…