Noise correlations behind superdiffusive quantum walks
- URL: http://arxiv.org/abs/2207.13145v3
- Date: Wed, 13 Sep 2023 12:22:10 GMT
- Title: Noise correlations behind superdiffusive quantum walks
- Authors: Gra\c{c}a R. M. de Almeida, N. Amaral, A. R. C. Buarque and W. S. Dias
- Abstract summary: We study how discrete-time quantum walks behave under short-range correlated noise.
For spatial inhomogeneities, we show noise correlations driving quantum walks from the well-known exponentially localized condition to superdiffusive spreading.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study how discrete-time quantum walks behave under short-range correlated
noise. By considering noise as a source of inhomogeneity of quantum gates, we
introduce a primitive relaxation in the uncorrelated stochastic noise
assumption: binary pair correlations manifesting in the random distribution.
Considering different quantum gates, we examined the transport properties for
both spatial and temporal noise regimes. For spatial inhomogeneities, we show
noise correlations driving quantum walks from the well-known exponentially
localized condition to superdiffusive spreading. This scenario displays an
exciting performance in which the superdiffusive exponent is almost invariant
to the inhomogeneity degree. The time-asymptotic regime and the finite-size
scaling also unveil an emergent superdiffusive behavior for quantum walks
undergoing temporal noise correlation, replacing the diffusive regime exhibited
when noise is random and uncorrelated. However, results report some quantum
gates insensitive to correlations, contrasting with the spatial noise scenario.
Results and following discussions help us understand the underlying mechanism
of superdiffusive quantum walks, including those with deterministic aperiodic
inhomogeneities.
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