Sufficient conditions are proven for zero velocity in position-dependent 1D quantum walks via an a priori velocity bound depending on sparse site sequences and local coin parameters, with extensions to random cases and CMV matrices.
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Glassy disorder in the coin of a 1D discrete-time quantum walk inhibits ballistic spread while keeping it faster than classical diffusion, with slow or fast falloff and mid-strength inflection points depending on the disorder distribution.
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Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites
Sufficient conditions are proven for zero velocity in position-dependent 1D quantum walks via an a priori velocity bound depending on sparse site sequences and local coin parameters, with extensions to random cases and CMV matrices.
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Response to glassy disorder in coin on spread of quantum walker
Glassy disorder in the coin of a 1D discrete-time quantum walk inhibits ballistic spread while keeping it faster than classical diffusion, with slow or fast falloff and mid-strength inflection points depending on the disorder distribution.