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.
Limit Theorems for the Disordered Quantum Walk
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abstract
We study the disordered quantum walk in one dimension, and obtain the weak limit theorem.
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2021 1verdicts
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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.