Boson-Sampling with non-interacting fermions

TL;DR

This paper demonstrates that non-interacting fermions can simulate bosonic behavior in linear networks, enabling boson-sampling experiments with fermions and proposing a scheme to generate necessary entangled states.

Contribution

It shows that boson-sampling can be implemented with fermions in entangled states and introduces a method to generate these states from unentangled fermions.

Findings

Boson-sampling can be realized with non-interacting fermions.

A scheme is proposed to generate entangled fermionic states on the fly.

Fermionic systems can simulate bosonic interference patterns.

Abstract

We explore the conditions under which identical particles in unitary linear networks behave as the other species, i.e. bosons as fermions and fermions as bosons. It is found that the Boson-Sampling computer of Aaronson & Arkhipov can be implemented in an interference experiment with non-interacting fermions in an appropriately entangled state. Moreover, a scheme is proposed which simulates the scattershot version of the Boson-Sampling computer by preparing, on the fly, the required entangled state of fermions from an unentangled one.