Two-site quantum random walk
نویسندگان
چکیده
منابع مشابه
Two-site Quantum Random Walk
We study the measure theory of a two-site quantum random walk. The truncated decoherence functional defines a quantum measure μn on the space of n-paths, and the μn in turn induce a quantum measure μ on the cylinder sets within the space Ω of untruncated paths. Although μ cannot be extended to a continuous quantum measure on the full σ-algebra generated by the cylinder sets, an important questi...
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We analyze several families of two-dimensional quantum random walks. The feasible region (the region where probabilities do not decay exponentially with time) grows linearly with time, as is the case with one-dimensional QRW. The limiting shape of the feasible region is, however, quite different. The limit region turns out to be an algebraic set, which we characterize as the rational image of a...
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We consider a symmetric simple random walk {Wi} on Z, d = 1, 2, in which the walker may choose to stand still for a limited time. The time horizon is n, the maximum consecutive time steps which can be spent standing still is mn and the goal is to maximize P (Wn = 0). We show that for d = 1, if mn (logn) for some γ > 0, there is a strategy for each n yielding P (Wn = 0) → 1. For d = 2, if mn n f...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2011
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-011-1245-z