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About Two-Component Dirac-Like Hamiltonian For Generating Quantum Walk On One
This document describes a two-component Dirac-like Hamiltonian that can generate quantum walks on one-, two-, and three-dimensional lattices. It begins by obtaining the Hamiltonian form for one-dimensional quantum walks using different pairs of Pauli basis states as position translation states. It then extends this to two- and three-dimensional lattices by using different Pauli basis states for each dimension. The resulting Hamiltonians take the form of the Dirac Hamiltonian for relativistic particles in two and three dimensions. This two-component Hamiltonian framework can be used to simulate and study the dynamics of quantum systems governed by Dirac-like Hamiltonians.
Detailed Information
| Author: | ['Aaron Leão'] |
|---|---|
| Publication Year: | 2015 |
| Pages: | 14 |
| Language: | English |
| Format: | |
| Price: | FREE |
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