6533b837fe1ef96bd12a1fb0
RESEARCH PRODUCT
Propagating quantum walks: The origin of interference structures
John E. SipeEugenio RoldánPeter L. Knightsubject
PhysicsQuantum PhysicsProcess (computing)FOS: Physical sciencesInterference (wave propagation)01 natural sciencesUnitary stateAtomic and Molecular Physics and OpticsExpression (mathematics)010305 fluids & plasmasLong wavelength0103 physical sciencesLine (geometry)Quantum walkStatistical physicsQuantum Physics (quant-ph)010306 general physicsdescription
We analyze the solution of the coined quantum walk on a line. First, we derive the full solution, for arbitrary unitary transformations, by using a new approach based on the four "walk fields" which we show determine the dynamics. The particular way of deriving the solution allows a rigorous derivation of a long wavelength approximation. This long wavelength approximation is useful as it provides an approximate analytical expression that captures the basics of the quantum walk and allows us to gain insight into the physics of the process.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-12-15 | Journal of Modern Optics |