Modular Quantum-to-Quantum Bernoulli Factory in an Integrated Photonic Processor
Francesco Hoch, Taira Giordani, Luca Castello, Gonzalo Carvacho,, Nicol\`o Spagnolo, Francesco Ceccarelli, Ciro Pentangelo, Simone Piacentini,, Andrea Crespi, Roberto Osellame, Ernesto F. Galv\~ao, Fabio Sciarrino

TL;DR
This paper demonstrates a modular, universal quantum Bernoulli factory using integrated photonics, capable of manipulating randomness in a bias-independent manner, with experimental validation showing its practical viability.
Contribution
It introduces a quantum Bernoulli factory scheme with a photonic platform that is modular, universal, and bias-oblivious, advancing quantum randomness manipulation technology.
Findings
Experimental implementation on integrated photonic platform successfully demonstrated.
The scheme is modular and truly bias-independent.
Results open new avenues for quantum randomness manipulation.
Abstract
Generation and manipulation of randomness is a relevant task for several applications of information technology. It has been shown that quantum mechanics offers some advantages for this type of task. A promising model for randomness manipulation is provided by the Bernoulli factories, protocols capable of changing the bias of Bernoulli random processes in a controlled way. At first, this framework was proposed and investigated in a fully classical regime. Recent extensions of this model to the quantum case showed the possibility of implementing a wider class of randomness manipulation functions. We propose a Bernoulli factory scheme with quantum states as input and output, using a photonic path-encoding approach. Our scheme is modular, universal, and its functioning is truly oblivious of the input bias, characteristics that were missing in earlier work. We report on experimental…
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