The lazy random walk, where the walker has some probability of staying put, is a useful tool
in classical algorithms. We propose a quantum analogue, the lackadaisical quantum walk …

The staggered quantum-walk model makes it possible to establish an unprecedented
connection between discrete-time quantum walks and graph theory. We call attention to the …

Playing a Parrondo's game with a qutrit is the subject of this paper. We show that a true
quantum Parrondo's game can be played with a 3-state coin (qutrit) in a 1D quantum walk in …

We address metrological problems where the parameter of interest is encoded in the
internal degree of freedom of a discrete-time quantum walker, and provide evidence that …

We analyze two families of three-state quantum walks which show the localization effect. We
focus on the role of the initial coin state and its coherence in controlling the properties of the …

Prediction of missing links is an important part of many applications, such as friends'
recommendations on social media, reduction of economic cost of protein functional modular …

The dynamics of a three-state quantum walk with amplitude-dependent phase shifts is
investigated. We consider two representative inputs whose linear evolution is known to …

Quantum walks play an important role for develo** quantum algorithms and quantum
simulations. Here, we introduce a first of its kind one-dimensional lazy quantum walk in the …

We study source-to-sink excitation transport on carbon nanotubes using the concept of
quantum walks. In particular, we focus on transport properties of Grover coined quantum …

A coinless, discrete-time quantum walk possesses a Hilbert space whose dimension is
smaller compared to the widely studied coined walk. Coined walks require the direct product …