Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

Quantum cellular automata are arrays of identical finite-dimensional quantum systems,
evolving in discrete-time steps by iterating a unitary operator G. Moreover the global …

We consider quantum dynamical systems specified by a unitary operator U and an initial
state vector ϕ. In each step the unitary is followed by a projective measurement checking …

We investigate one-dimensional (1D) discrete-time quantum walks (QWs) with spatially or
temporally random defects as a consequence of interactions with random environments. We …

We study the asymptotic position distribution of general quantum walks on a lattice,
including walks with a random coin, which is chosen from step to step by a general Markov …

We study one-dimensional quantum walks in a homogenous electric field. The field is given
by a phase which depends linearly on position and is applied after each step. The long time …

We show that the entanglement between the internal (spin) and external (position) degrees
of freedom of a qubit in a random (dynamically disordered) one-dimensional discrete time …

Trapping a particle of a quantum walk on the line Page 1 PHYSICAL REVIEW A 85, 012329
(2012) Trapping a particle of a quantum walk on the line Antoni Wójcik,1 Tomasz Łuczak,2 …

We give a topological classification of quantum walks on an infinite 1D lattice, which obey
one of the discrete symmetry groups of the tenfold way, have a gap around some …

Quantum walks are promising for information processing tasks because in regular graphs
they spread quadratically more rapidly than random walks. Static disorder, however, can …