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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.15 No.1&2 January 2015 |
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A
limit theorem for a 3-period time-dependent quantum walk
(pp0050-0060)
F.
Alberto Grunbaum and Takuya Machida
doi:
https://doi.org/10.26421/QIC15.1-2-4
Abstracts:
We consider a discrete-time 2-state quantum walk on the
line. The state of the quantum walker evolves according to a rule which
is determined by a coin-flip operator and a position-shift operator. In
this paper we take a 3-periodic time evolution as the rule. For such a
quantum walk, we get a limit distribution which expresses the asymptotic
behavior of the walker after a long time. The limit distribution is
different from that of a time-independent quantum walk or a 2-period
time-dependent quantum walk. We give some analytical results and then
consider a number of variants of our model and indicate the result of
simulations for these ones.
Key words:
time-dependent quantum walk, limit distribution |
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