Modular Quantum-to-Quantum Bernoulli Factory in an Integrated Photonic Processor
- URL: http://arxiv.org/abs/2410.06204v1
- Date: Tue, 8 Oct 2024 17:06:25 GMT
- Title: Modular Quantum-to-Quantum Bernoulli Factory in an Integrated Photonic Processor
- Authors: Francesco Hoch, Taira Giordani, Luca Castello, Gonzalo Carvacho, Nicolò Spagnolo, Francesco Ceccarelli, Ciro Pentangelo, Simone Piacentini, Andrea Crespi, Roberto Osellame, Ernesto F. Galvão, Fabio Sciarrino,
- Abstract summary: quantum mechanics offers some advantages for generation and manipulation of randomness.
Bernoulli factories are protocols capable of changing the bias of Bernoulli random processes in a controlled way.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 implementations using an integrated and fully programmable photonic platform, thus demonstrating the viability of our approach. These results open new paths for randomness manipulation with integrated quantum technologies.
Related papers
- Complexity and multi-functional variants of the Quantum-to-Quantum Bernoulli Factories [0.0]
A Bernoulli factory is a model for randomness manipulation.<n> quantum-to-quantum Bernoulli factory schemes encode both the input and output variables using qubit amplitudes.
arXiv Detail & Related papers (2025-12-11T16:56:32Z) - Quantum Latent Diffusion Models [65.16624577812436]
We propose a potential version of a quantum diffusion model that leverages the established idea of classical latent diffusion models.
This involves using a traditional autoencoder to reduce images, followed by operations with variational circuits in the latent space.
The results demonstrate an advantage in using a quantum version, as evidenced by obtaining better metrics for the images generated by the quantum version.
arXiv Detail & Related papers (2025-01-19T21:24:02Z) - Polarization-encoded photonic quantum-to-quantum Bernoulli factory based on a quantum dot source [0.0]
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.
arXiv Detail & Related papers (2024-10-15T15:21:03Z) - Optimal Conversion from Classical to Quantum Randomness via Quantum Chaos [0.0]
In a recently proposed paradigm known as deep thermalization, random quantum states of system A are generated by performing projective measurements on system B.
In this scheme, the randomness of the projected state ensemble arises from the intrinsic randomness of the outcomes when B is measured.
We show that for generic chaotic systems this conversion is optimal in that each bit of injected classical entropy generates as much additional quantum randomness as adding an extra qubit to B.
arXiv Detail & Related papers (2024-10-07T16:41:23Z) - Quantum Wave Function Collapse for Procedural Content Generation [0.0]
Quantum computers exhibit an inherent randomness, so it seems natural to consider them for procedural content generation.
This quantum wave function collapse algorithm is based on the idea that a quantum circuit can be prepared in such a way that it acts as a special-purpose random generator for content of a desired form.
arXiv Detail & Related papers (2023-12-21T13:50:53Z) - Quantum Conformal Prediction for Reliable Uncertainty Quantification in
Quantum Machine Learning [47.991114317813555]
Quantum models implement implicit probabilistic predictors that produce multiple random decisions for each input through measurement shots.
This paper proposes to leverage such randomness to define prediction sets for both classification and regression that provably capture the uncertainty of the model.
arXiv Detail & Related papers (2023-04-06T22:05:21Z) - Importance sampling for stochastic quantum simulations [68.8204255655161]
We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients.
We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage.
Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
arXiv Detail & Related papers (2022-12-12T15:06:32Z) - On Quantum Circuits for Discrete Graphical Models [1.0965065178451106]
We provide the first method that allows one to provably generate unbiased and independent samples from general discrete factor models.
Our method is compatible with multi-body interactions and its success probability does not depend on the number of variables.
Experiments with quantum simulation as well as actual quantum hardware show that our method can carry out sampling and parameter learning on quantum computers.
arXiv Detail & Related papers (2022-06-01T11:03:51Z) - Dynamical learning of a photonics quantum-state engineering process [48.7576911714538]
Experimentally engineering high-dimensional quantum states is a crucial task for several quantum information protocols.
We implement an automated adaptive optimization protocol to engineer photonic Orbital Angular Momentum (OAM) states.
This approach represents a powerful tool for automated optimizations of noisy experimental tasks for quantum information protocols and technologies.
arXiv Detail & Related papers (2022-01-14T19:24:31Z) - Generating Haar-uniform Randomness using Stochastic Quantum Walks on a
Photonic Chip [14.111146438141967]
The Haar measure of randomness is a useful tool with wide applications such as boson sampling.
Recently, a theoretical protocol was proposed to combine quantum control theory and driven quantum walks to generate Haar-uniform random operations.
Here, we implement a two-dimensional quantum walk on the integrated photonic chip and demonstrate that the average of all distribution profiles converges to the even distribution when the evolution length increases, suggesting the 1-padar-uniform randomness.
arXiv Detail & Related papers (2021-12-13T10:35:37Z) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - Entanglement transfer, accumulation and retrieval via quantum-walk-based
qubit-qudit dynamics [50.591267188664666]
Generation and control of quantum correlations in high-dimensional systems is a major challenge in the present landscape of quantum technologies.
We propose a protocol that is able to attain entangled states of $d$-dimensional systems through a quantum-walk-based it transfer & accumulate mechanism.
In particular, we illustrate a possible photonic implementation where the information is encoded in the orbital angular momentum and polarization degrees of freedom of single photons.
arXiv Detail & Related papers (2020-10-14T14:33:34Z) - Quantum Random Number Generation using a Solid-State Single-Photon
Source [89.24951036534168]
Quantum random number generation (QRNG) harnesses the intrinsic randomness of quantum mechanical phenomena.
We demonstrate QRNG with a quantum emitter in hexagonal boron nitride.
Our results open a new avenue to the fabrication of on-chip deterministic random number generators.
arXiv Detail & Related papers (2020-01-28T22:47:43Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.