paper-with-me

Papers

Optimisation-free Classification and Density Estimation with Quantum Circuits

2022-03-28 · Vladimir Vargas-Calderón, Fabio A. González, Herbert Vinck-Posada

We demonstrate the implementation of a novel machine learning framework for probability density estimation and classification using quantum circuits. The framework maps a training data set or a single data sample to the quantum state of a physical system through quantum feature maps. The quantum state of the arbitrarily large training data set summarises its probability distribution in a finite-dimensional quantum wave function. By projecting the quantum state of a new data sample onto the quantum state of the training data set, one can derive statistics to classify or estimate the density of the new data sample. Remarkably, the implementation of our framework on a real quantum device does not require any optimisation of quantum circuit parameters. Nonetheless, we discuss a variational quantum circuit approach that could leverage quantum advantage for our framework.

📄 PDF Abstract BibTeX arXiv:2203.14452

Code (0)

등록된 구현이 없습니다.

Tasks

ClassificationDensity Estimation

Similar Papers 제목 키워드 기반

MEMO-QCD: Quantum Density Estimation through Memetic Optimisation for Quantum Circuit Design

2024-06-12 · Juan E. Ardila-García, Vladimir Vargas-Calderón, Fabio A. González, Diego H. Useche 외

This paper presents a strategy for efficient quantum circuit design for density estimation. The strategy is based on a quantum-inspired algorithm for density estimation and a circuit optimisation routine based on memetic…

Density Estimation

Quantum Measurement Classification with Qudits

2021-07-20 · Diego H. Useche, Andres Giraldo-Carvajal, Hernan M. Zuluaga-Bucheli, Jose A. Jaramillo-Villegas 외

This paper presents a hybrid classical-quantum program for density estimation and supervised classification. The program is implemented as a quantum circuit in a high-dimensional quantum computer simulator. We show that …

ClassificationDensity Estimation

Quantum Optimization for Training Quantum Neural Networks

2021-03-31 · Yidong Liao, Min-Hsiu Hsieh, Chris Ferrie

Training quantum neural networks (QNNs) using gradient-based or gradient-free classical optimisation approaches is severely impacted by the presence of barren plateaus in the cost landscapes. In this paper, we devise a f…

MBORE: Multi-objective Bayesian Optimisation by Density-Ratio Estimation

2022-03-31 · George De Ath, Tinkle Chugh, Alma A. M. Rahat

Optimisation problems often have multiple conflicting objectives that can be computationally and/or financially expensive. Mono-surrogate Bayesian optimisation (BO) is a popular model-based approach for optimising such b…

Bayesian OptimisationDensity Ratio Estimation

AutoQubo: data-driven automatic QUBO generation

2022-07-19 · Genetic and Evolutionary Computation Conference (GECCO) 2022 7 · Alberto Moraglio, Serban Georgescu, Przemysław Sadowski

This paper presents a general method to derive automatically a Quadratic Unconstrained Binary Optimisation (QUBO) formulation of, in principle, any combinatorial optimisation problem from its high-level description given…