Two-Particle Bosonic-Fermionic Quantum Walk via Integrated Photonics

Abstract

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.

Optical mesh lattices withPTsymmetry

“…Such configurations have been systematically employed to investigate a number of issues ranging from discrete quantum walks [44][45][46][47] to Bloch oscillations and fractal patterns [43,48]. While spatial realizations of such mesh lattices have also been reported [47,49], time-multiplexed fiber loop schemes have so far demonstrated a high degree of flexibility [43,45]. In time-multiplexed schemes, a discrete time axis n corresponds to the transverse discrete axis of a corresponding spatial optical mesh lattice as shown in Figs.…”

Localization, delocalization, and topological phase transitions in the one-dimensional split-step quantum walk

“…This makes them valuable in quantum search algorithms [2] or even for general quantum computing [3]. Experiments on quantum walks range from realizations on trapped ions [4][5][6], to cold atoms in optical lattices [7][8][9], to light on an optical table [10][11][12][13][14][15], but there have been many other experimental proposals [16,17].…”

Noise-enhanced quantum transport on a closed loop using quantum walks

“…Such regimes are important for example in systems in which energy or electrons are transferred from one loop or molecule to another, as they allow to generate quantum correlations between the different systems. Together with helping to understand and model the energy transfer and state transport processes in naturally occurring system, the recent experimental progress in creating quantum walks in various physical systems (NMR [39][40][41], cold ions [42,43], photons [44][45][46][47][48][49], and ultracold atoms [50]) will soon allow to study and engineer the processes we have described here in laboratory.…”