Bosonic and Fermionic Quantum Walk

友之 星谷

Linda Sansoni, Francesco De Nicola, Fabio Sciarrino +4 more

Iván Márquez-Martín, Giuseppe Di Molfetta, Armando Pérez

Linda Sansoni, Fabio Sciarrino, Giuseppe Vallone +4 more

Quantum walk represents one of the most promising resources for the simulation of physical quantum systems, and has also emerged as an alternative to the standard circuit model for quantum computing. Here we investigate how the particle statistics, either bosonic or fermionic, influences a two-particle discrete quantum walk. Such an experiment has been realized by exploiting polarization entanglement to simulate the bunching-antibunching feature of noninteracting bosons and fermions. To this scope a novel three-dimensional geometry for the waveguide circuit is introduced, which allows accurate polarization independent behavior, maintaining remarkable control on both phase and balancement.

Francesco De Nicola, Linda Sansoni, Andrea Crespi +6 more

We report on the theoretical analysis of bosonic and fermionic noninteracting systems in a discrete two-particle quantum walk affected by different kinds of disorder. We considered up to 100-step quantum walks with a spatial, temporal, and spatial-temporal disorder observing how the randomness and the wave-function symmetry nontrivially affect the final spatial probability distribution, the transport properties, and the Shannon entropy of the walkers.