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Limit distribution with a combination of density functions for a 2-state quantum walk
Limit distribution Time-inhomogeneous 2-state quantum walk
2010/11/5
We consider 2-state time-inhomogeneous quantum walks defined by two matrices on the line. For the time-homogeneous walks determined by a unitary matrix, the limit distribution is expressed by a simple...
Statistical dynamics of a non-Abelian anyonic quantum walk
Statistical dynamics non-Abelian anyonic quantum
2010/10/18
We study the single particle dynamics of a mobile non-Abelian anyon hopping around many pinned anyons on a surface. The dynamics is modelled by a discrete time quantum walk and the spatial degree of f...
Trapped ions go for a quantum walk（图）
Trapped ions a quantum walk quantum computing quantum effects
2010/3/26
Physicists in Austria have demonstrated a "quantum walk" in detail for the first time, using trapped ions. Such experiments could allow us to better understand the transition between the quantum and c...
Spatial entanglement using quantum walk on many body system
Spatial entanglement quantum body system
2010/4/7
Evolution of many particles on a one dimensional lattice subjected to quantum walk can cause spatial entanglement in the lattice position which can be exploited for quantum information/communication p...
Asymptotic entanglement in a two-dimensional quantum walk
Asymptotic entanglement a two-dimensional quantum walk
2010/4/8
The evolution operator of a discrete-time quantum walk involves a conditional shift in position space which entangles the coin and position degrees of freedom of the walker. After several steps, the c...
Absorption Probabilities for the Two-Barrier Quantum Walk
Absorption Probabilities Two-Barrier Quantum Walk
2010/4/9
Let p_j^(n) be the probability that a Hadamard quantum walk, started at site j on the integer lattice {0,...,n}, is absorbed at 0. We give an explicit formula for p_j^(n). Our formula proves a conject...
Quantum Walk-based Generation of Entanglement Between Two Walkers
Quantum Walk-based Generation Entanglement Two Walkers
2010/4/9
Quantum walks can be used either as tools for quantum algorithm development or as entanglement generators, potentially useful to test quantum hardware. We present a novel algorithm based on a discrete...
We give the first example of faster transport with a quantum walk on an inherently directed graph, on the directed line with a variable number of self-loops at each vertex. These self-loops can be tho...