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

Area of Science:

• Quantum Information Science
• Quantum Optics
• Photonic Quantum Technologies

Background:

• Bernoulli factories are essential tools for randomness manipulation in classical and quantum computing.
• Quantum-to-quantum Bernoulli factories encode input and output variables in qubit amplitudes, enabling advanced quantum algorithms.
• These primitives are crucial for quantum Bayesian inference and Monte Carlo methods.

Purpose of the Study:

• To experimentally implement a polarization-encoded photonic quantum-to-quantum Bernoulli factory.
• To demonstrate the feasibility of using interferometric setups for quantum randomness manipulation.
• To validate the scheme using high-quality single-photon sources.

Main Methods:

• Development and testing of three interferometric setups to implement algebraic field operations (inversion, multiplication, addition).
• Chaining these operations to construct a generic quantum-to-quantum Bernoulli factory.
• Utilizing a quantum dot-based single-photon source and time-to-spatial demultiplexing for input state preparation.

Main Results:

• Successful experimental implementation of a photonic quantum-to-quantum Bernoulli factory.
• Demonstration of the basic algebraic operations required for the factory using interferometry.
• Validation of the in-bulk schemes with bright, indistinguishable single photons.

Conclusions:

• The study presents a practical, photonic realization of a quantum Bernoulli factory.
• This work paves the way for integrating advanced randomness manipulation into quantum information processing tasks.
• The demonstrated scheme is compatible with existing photonic quantum technologies.