89 citations · 186 across the 12 of their papers we have counts for
12 papers
Massless Dirac particle in a stochastic magnetic field: A solvable quantum walk approximation
A. J. Bracken, D. Ellinas, I. Smyrnakis
A massless Dirac particle is considered, moving along the x-axis while Pauli-coupled by its anomalous magnetic moment to a piecewise constant magnetic field along the same axis, wi…
Discrete Randomness in Discrete Time Quantum Walk: Study via Stochastic Averaging
D. Ellinas, A. J. Bracken, I. Smyrnakis
The role of classical noise in quantum walks (QW) on integers is investigated in the form of discrete dichotomic random variable affecting its reshuffling matrix parametrized as a…
Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics
Demosthenes Ellinas, Ioannis Smyrnakis
Rules for quantizing the walker+coin parts of a classical random walk are provided by treating them as interacting quantum systems. A quantum optical random walk (QORW), is introdu…
Free Dirac evolution as a quantum random walk
A. J. Bracken, D. Ellinas, I. Smyrnakis
Any positive-energy state of a free Dirac particle that is initially highly-localized, evolves in time by spreading at speeds close to the speed of light. This general phenomenon i…
Quantization and Asymptotic Behaviour of Quantum Random Walk on Integers
Demosthenes Ellinas, Ioannis Smyrnakis
Quantization and asymptotic behaviour of a variant of discrete random walk on integers are investigated. This variant, the walk, has the novel feature that it uses many…
Asymptotics of Quantum Random Walk Driven by Optical Cavity
Demosthenes Ellinas, Ioannis Smyrnakis
We investigate a novel quantum random walk (QRW) model, possibly useful in quantum algorithm implementation, that achieves a quadratically faster diffusion rate compared to its cla…