Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype, and the …

Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype and …

We analyze the simulation of Dirac neutrino oscillations using quantum walks, both in a
vacuum and in matter. We show that this simulation, in the continuum limit, reproduces a set …

A family of discrete-time quantum walks (DTQWs) on the line with an exact discrete U (N)
gauge invariance is introduced. It is shown that the continuous limit of these DTQWs, when it …

A particular example is produced to prove that quantum walks can be used to simulate full-
fledged discrete gauge theories. A family of two-dimensional walks is introduced and its …

A discrete-time quantum walk (QW) is essentially a unitary operator driving the evolution of a
single particle on the lattice. Some QWs admit a continuum limit, leading to familiar PDEs …

A quantum algorithm that solves the time-dependent Dirac equation on a digital quantum
computer is developed and analyzed. The time evolution is performed by an operator …

Simulations of one quantum system by an other has an implication in realization of quantum
machine that can imitate any quantum system and solve problems that are not accessible to …

A new family of discrete-time quantum walks (DTQWs) propagating on a regular (1+ 2) D
spacetime lattice is introduced. The continuum limit of these DTQWs is shown to coincide …

Electromagnetic waves are an inherent part of all plasmas—laboratory fusion plasmas or
astrophysical plasmas. The conventional methods for studying properties of electromagnetic …