We show that a multistep quantum walk can be realized for a single trapped ion with an
interpolation between a quantum and random walk achieved by randomizing the …

One-parameter family of discrete-time quantum-walk models on the square lattice, which
includes the Grover-walk model as a special case, is analytically studied. Convergence in …

The physics of quantum walks on graphs is formulated in Hamiltonian language, both for
simple quantum walks and for composite walks, where extra discrete degrees of freedom …

The aim of this paper is to build quantum circuits that implement discrete-time quantum
walks having an arbitrary position-dependent coin operator. The position of the walker is …

In this work, the quantum random walk search algorithm with a walk coin constructed by
generalized Householder reflection and phase multiplier has been studied. The coin register …

In this paper, in order to calculate the scalar product of two private vectors from two
communicants without leaking them, we propose a novel secure two-party quantum scalar …

The common perception is that strong coupling to the environment will always render the
evolution of the system density matrix quasiclassical (in fact, diffusive) in the long time limit …

We analyze the realization of a quantum-walk search algorithm in a passive, linear optical
network. The specific model enables us to consider the effect of realistic sources of noise …

In this work the quantum random walk search algorithm with walk coin constructed by
generalized Householder reflection and phase multiplier has been studied. The coin register …

Classical multibaker maps are deterministic models of classical random walks. Quantum
multibaker maps are their quantum versions. As such, they can be naturally considered …