具有渗流的离散时间量子线上的两步行走
Two-walker discrete-time quantum walks on the line with percolation
摘要：
量子行走研究的一个目标是利用多个行走者的内在量子性质，以实现模型的全部计算能力。在这里，我们研究两个非相互作用的粒子进行量子行走的线时，晶格缺陷的可能性，在丢失的链接的形式，被认为是行为。我们调查两个制度，静态和动态渗流，对应于不同的时间尺度的缺陷演化相对于量子行走。通过研究三个两粒子数量的定性行为有不同的概率丢失的债券，我们认为，所选择的对称性下的粒子交换的输入状态强烈影响输出的步行，即使在嘈杂和高度非理想的制度。我们提供的证据对收集信息的可能性的步行者的不可逆性从聚束现象的输出分布的观察，在所有这些情况下，需要平均量之间的比较。虽然传播的步行是没有实质性的改变，通过添加第二个粒子，我们表明，存在多个步行者可以是有益的程序，以估计有一个断开的链接的概率。
英文摘要：
One goal in the quantum-walk research is the exploitation of the intrinsic quantum nature of multiple walkers, in order to achieve the full computational power of the model. Here we study the behaviour of two non-interacting particles performing a quantum walk on the line when the possibility of lattice imperfections, in the form of missing links, is considered. We investigate two regimes, statical and dynamical percolation, that correspond to different time scales for the imperfections evolution with respect to the quantum-walk one. By studying the qualitative behaviour of three two-particle quantities for different probabilities of having missing bonds, we argue that the chosen symmetry under particle-exchange of the input state strongly affects the output of the walk, even in noisy and highly non-ideal regimes. We provide evidence against the possibility of gathering information about the walkers indistinguishability from the observation of bunching phenomena in the output distribution, in all those situations that require a comparison between averaged quantities. Although the spread of the walk is not substantially changed by the addition of a second particle, we show that the presence of multiple walkers can be beneficial for a procedure to estimate the probability of having a broken link.
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