Source-target entanglement in quantum walks on arbitrary networks is upper-bounded by connectivity, with graph matchings controlling its generation and higher connectivity reducing the maximum in random graphs.
Kempe, Contemporary Physics44, 307 (2003)
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Classical random walks on finite 2D lattices of varying connectivity show diffusive spreading insensitive to lattice details, with mass fractal dimension 1.50±0.03 and hull dimension 1.37±0.03 that approach Brownian-motion values with increasing steps.
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Entanglement capacity of complex networks from quantum walks
Source-target entanglement in quantum walks on arbitrary networks is upper-bounded by connectivity, with graph matchings controlling its generation and higher connectivity reducing the maximum in random graphs.