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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In recent years quantum random walks have garnered much interest among quantum information researchers. Part of the reason is the prospect that many hard problems can be solved efficiently by employing algorithms based on quantum random walks, in the same way that classical random walks have played a central role in many hugely successful randomized algorithms. In this paper we introduce a new ...
متن کاملWhat is Quantum Random Walk?
• Classical: random walk in one dimension describes a particle that moves in the positive or negative direction according to the random outcome of some unbiased binary variable (e.g., a fair coin). • Quantum: The particle with two degree of freedom (for example spin) can move left or right according to its spin and one unitary operator can play coin roles (for example Hadamard operator).In quan...
متن کاملControlled random walk with a target site ∗
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