Polarization-encoded photonic quantum-to-quantum Bernoulli factory based on a quantum dot source

TL;DR

This paper demonstrates an experimental polarization-encoded photonic quantum-to-quantum Bernoulli factory using a quantum dot source, implementing key algebraic operations for complex quantum randomness manipulation.

Contribution

It presents the first experimental realization of a quantum-to-quantum Bernoulli factory with polarization encoding and quantum dot photon sources, enabling advanced quantum algorithms.

Findings

Successful implementation of algebraic operations (inversion, multiplication, addition)

Validation of the scheme with high-quality quantum dot single-photon sources

Preparation of input states with up to three single photons

Abstract

A Bernoulli factory is a randomness manipulation routine that takes as input a Bernoulli random variable, outputting another Bernoulli variable whose bias is a function of the input bias. Recently proposed quantum-to-quantum Bernoulli factory schemes encode both input and output variables in qubit amplitudes. This primitive could be used as a sub-routine for more complex quantum algorithms involving Bayesian inference and Monte Carlo methods. Here, we report an experimental implementation of a polarization-encoded photonic quantum-to-quantum Bernoulli factory. We present and test three interferometric set-ups implementing the basic operations of an algebraic field (inversion, multiplication, and addition) which, chained together, allow for the implementation of a generic quantum-to-quantum Bernoulli factory. These in-bulk schemes are validated using a quantum dot-based single-photon source featuring high brightness and indistinguishability, paired with a time-to-spatial demultiplexing setup to prepare input resources of up to three single-photon states.