6533b7d8fe1ef96bd126ae51

RESEARCH PRODUCT

A study of Wigner functions for discrete-time quantum walks

Armando PérezMargarida HinarejosMari Carmen Bañuls

subject

Work (thermodynamics)Quantum WalkQuantum PhysicsWigner FunctionNegativityFísicaFOS: Physical sciencesNegativity effectGeneral ChemistryCondensed Matter PhysicsComputational MathematicsDiscrete time and continuous timeQuantum mechanicsWigner distribution functionGeneral Materials ScienceQuantum walkElectrical and Electronic EngineeringQuantum Physics (quant-ph)Mathematical physicsMathematics

description

We perform a systematic study of the discrete time Quantum Walk on one dimension using Wigner functions, which are generalized to include the chirality (or coin) degree of freedom. In particular, we analyze the evolution of the negative volume in phase space, as a function of time, for different initial states. This negativity can be used to quantify the degree of departure of the system from a classical state. We also relate this quantity to the entanglement between the coin and walker subspaces.

http://arxiv.org/abs/1204.1050