Two-particle bosonic-fermionic quantum walk via 3D integrated photonics

TL;DR

This paper demonstrates a novel 3D integrated photonic circuit that simulates two-particle quantum walks with bosonic and fermionic particles, revealing how particle statistics influence quantum walk behavior.

Contribution

It introduces a new 3D waveguide architecture enabling polarization-independent control for simulating bosonic and fermionic quantum walks with entangled photons.

Findings

Successful simulation of bosonic and fermionic statistics

Implementation of polarization-independent quantum walk circuit

Enhanced control over phase and balance in photonic circuits

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. Up to now the experimental implementations have been restricted to single particle quantum walk, while very recently the quantum walks of two identical photons have been reported. Here, for the first time, we investigate how the particle statistics, either bosonic or fermionic, influences a two-particle discrete quantum walk. Such experiment has been realized by adopting two-photon entangled states and integrated photonic circuits. The polarization entanglement was exploited to simulate the bunching-antibunching feature of non interacting bosons and fermions. To this scope a novel three-dimensional geometry for the waveguide circuit is introduced, which allows accurate polarization independent behaviour, maintaining a remarkable control on both phase and balancement.