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 …

During the last ten years, superconducting circuits have passed from being interesting
physical devices to becoming contenders for near-future useful and scalable quantum …

Designing efficient and secure cryptosystems has been a preoccupation for many scientists
and engineers for a long time wherein they use chaotic systems to design new …

Applications of quantum walks can depend on the number, exchange symmetry and
indistinguishability of the particles involved, and the underlying graph structures where they …

Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …

A promising approach to achieve computational supremacy over the classical von Neumann
architecture explores classical and quantum hardware as Ising machines. The minimisation …

The quantum walk formalism is a widely used and highly successful framework for modeling
quantum systems, such as simulations of the Dirac equation, different dynamics in both the …

Quantum walks represent paradigmatic quantum evolutions, enabling powerful applications
in the context of topological physics and quantum computation. They have been …

Network theory has played a dominant role in understanding the structure of complex
systems and their dynamics. Recently, quantum complex networks, ie collections of quantum …

We present a highly efficient quantum circuit for performing continuous time quantum walks
(CTQWs) over an exponentially large set of combinatorial objects, provided that the objects …