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 random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

Random walks have been employed in virtually every science related discipline to model
everyday phenomena such as biochemical reaction pathways and DNA synapsis …

The direct measurement of topological invariants in both engineered and naturally occurring
quantum materials is a key step in classifying quantum phases of matter. Here, we motivate …

We report on the experimental realization of electric quantum walks, which mimic the effect
of an electric field on a charged particle in a lattice. Starting from a textbook implementation …

Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

The quantum walk (QW) has proven to be a valuable testbed for fundamental inquiries in
quantum technology applications such as quantum simulation and quantum search …

The topology of a single-particle band structure plays a fundamental role in understanding a
multitude of physical phenomena. Motivated by the connection between quantum walks and …

We demonstrate a quantum walk with time-dependent coin bias. With this technique we
realize an experimental single-photon one-dimensional quantum walk with a linearly …

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 …