Quantum walks with spatiotemporal fractal disorder
- URL: http://arxiv.org/abs/2306.12628v1
- Date: Thu, 22 Jun 2023 01:41:59 GMT
- Title: Quantum walks with spatiotemporal fractal disorder
- Authors: Marcelo A. Pires, Caio B. Naves, Diogo O. Soares-Pinto and S\'ilvio M.
Duarte Queir\'os
- Abstract summary: We investigate the transport and entanglement properties exhibited by quantum walks with coin operators in a space-time fractal structure.
With this fractal approach it is possible to obtain an increase in quantum entanglement without spreading.
The present model corresponds to a new application of fractals in an experimentally feasible setting.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the transport and entanglement properties exhibited by quantum
walks with coin operators concatenated in a space-time fractal structure.
Inspired by recent developments in photonics, we choose the paradigmatic
Sierpinski gasket. The 0-1 pattern of the fractal is mapped into an alternation
of the generalized Hadamard-Fourier operators. In fulfilling the blank space on
the analysis of the impact of disorder in quantum walk properties --
specifically, fractal deterministic disorder --, our results show a robust
effect of entanglement enhancement as well as an interesting novel road to
superdiffusive spreading with a tunable scaling exponent attaining effective
ballistic diffusion. Namely, with this fractal approach it is possible to
obtain an increase in quantum entanglement without jeopardizing spreading.
Alongside those features, we analyze further properties such as the degree of
interference and visibility. The present model corresponds to a new application
of fractals in an experimentally feasible setting, namely the building block
for the construction of photonic patterned structures.
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