Relativistic effects and rigorous limits for discrete- and continuous-time quantum walks

From MaRDI portal
Publication:3544380

DOI10.1063/1.2759837zbMath1152.81612OpenAlexW2077917497MaRDI QIDQ3544380

Frederick W. Strauch

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2759837




Related Items

Quantum walks on simplicial complexesThe Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann ApproximationA constructive approach to topological invariants for one-dimensional strictly local operatorsThe Witten index for 1D supersymmetric quantum walks with anisotropic coinsQuantum circuits for discrete-time quantum walks with position-dependent coin operatorQuantum field as a quantum cellular automaton: the Dirac free evolution in one dimensionA systematic method to building Dirac quantum walks coupled to electromagnetic fieldsGeneral methods and properties to evaluate continuum limits of the 1D discrete time quantum walkAn overview of quantum cellular automataLong time dynamics of a single-particle extended quantum walk on a one-dimensional lattice with complex hoppings: a generalized hydrodynamic descriptionRelativistic effects in quantum walks: Klein's paradox and ZitterbewegungHow to Realize One-dimensional Discrete-time Quantum Walk by Dirac ParticleMassless Dirac equation from Fibonacci discrete-time quantum walkSimulating continuous-time Hamiltonian dynamics by way of a discrete-time quantum walkQuantum walks in artificial electric and gravitational fieldsPeriodicity of Grover walks on generalized Bethe treesDiscrete Lorentz covariance for quantum walks and quantum cellular automataResonant-tunneling in discrete-time quantum walkMimicking the Hadamard discrete-time quantum walk with a time-independent HamiltonianDiscrete-time quantum walks: Continuous limit and symmetries



Cites Work