Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states

The Elephant Quantum Walk

Giuseppe Di Molfetta,1, 2, ∗ Diogo O. Soares-Pinto,3 and Sílvio M. Duarte Queirós4 Aix-Marseille Université, CNRS, École Centrale de Marseille, Laboratoire d’Informatique Fondamentale, Marseille, France Departamento de Física Teórica and IFIC, Universidad de Valencia-CSIC, Dr. Moliner 50, 46100-Burjassot, Spain Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, 13560-970, São...

Symmetry-enhanced supertransfer of delocalized quantum states

Coherent hopping of excitation relies on quantum coherence over physically extended states. In this work, we consider simple models to examine the effect of symmetries of delocalized multi-excitation states on the dynamical timescales, including hopping rates, radiative decay and environmental interactions. While the decoherence (pure dephasing) rate of an extended state over N sites is compara...

Long-time entanglement in the Quantum Walk

The coin-position entanglement generated by the evolution operator of a discrete–time quantum walk is quantified, using the von Neumann entropy of the reduced density operator (entropy of entanglement). In the case of a single walker, the entropy of entanglement converges, in the long time limit, to a well defined value which depends on the initial state. Exact expressions are obtained for loca...

Quantum walk, entanglement and thermodynamic laws

We consider an special dynamics of a quantum walk (QW) on a line. Initially, the walker localized at the origin of the line with arbitrary chirality, evolves to an asymptotic stationary state. In this stationary state a measurement is performed and the state resulting from this measurement is used to start a second QW evolution to achieve a second asymptotic stationary state. In previous works,...

Forming delocalized intermediate states with realistic quantum dots