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• W2845754139 abstract "We consider a two-state quantum walk on a line where after the first step an absorbing sink is placed at the origin. The probability of finding the walker at position $j$, conditioned on that it has not returned to the origin, is investigated in the asymptotic limit. We prove a limit theorem for the conditional probability distribution and show that it is given by the Konno's density function modified by a prefactor ensuring that the distribution vanishes at the origin. In addition, we discuss the relation to the problem of recurrence of a quantum walk and determine the P'olya number. Our approach is based on path counting and the stationary phase approximation." @default.
• W2845754139 created "2018-07-19" @default.
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• W2845754139 date "2018-07-27" @default.
• W2845754139 modified "2023-10-14" @default.
• W2845754139 title "Conditional limit measure of a one-dimensional quantum walk with an absorbing sink" @default.
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• W2845754139 doi "https://doi.org/10.1103/physreva.98.012136" @default.
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