A duplication-free quantum neural network for universal approximation
@inproceedings{Hou2022ADQ, title={A duplication-free quantum neural network for universal approximation}, author={Xiaokai Hou and Guanyu Zhou and Qing Li and Shan Jin and Xiaoting Wang}, year={2022} }
The universality of a quantum neural network refers to its ability to approximate arbitrary functions and is a theoretical guarantee for its effectiveness. A non-universal neural network could fail in completing the machine learning task. One proposal for universality is to encode the quantum data into identical copies of a tensor product, but this will substantially increase the system size and the circuit complexity. To address this problem, we propose a simple design of a duplication-free…
Figures and Tables from this paper
2 Citations
Ensemble-learning variational shallow-circuit quantum classifiers
- Education
- 2023
Two ensemble-learning classification methods, namely bootstrap aggregating and adaptive boosting, which can significantly enhance the performance of variational quantum classifiers for both classical and quantum datasets are proposed.
Ensemble-learning error mitigation for variational quantum shallow-circuit classifiers
- Computer Science
- 2023
Two ensemble-learning error mitigation methods, namely bootstrap aggregating and adaptive boosting, which can significantly enhance the performance of variational quantum classifiers for both classical and quantum datasets are proposed.
References
SHOWING 1-10 OF 55 REFERENCES
Quantum Neuron: an elementary building block for machine learning on quantum computers
- Computer ScienceArXiv
- 2017
A small quantum circuit is proposed that naturally simulates neurons with threshold activation and defines a building block, the "quantum neuron", that can reproduce a variety of classical neural network constructions while maintaining the ability to process superpositions of inputs and preserve quantum coherence and entanglement.
Quantum generalisation of feedforward neural networks
- Computer Science
- 2016
It is demonstrated numerically that the proposed quantum generalisation of a classical neural network can compress quantum states onto a minimal number of qubits, create a quantum autoencoder, and discover quantum communication protocols such as teleportation.
Unitary quantum perceptron as efficient universal approximator
- Computer Science, PhysicsEPL (Europhysics Letters)
- 2019
It is demonstrated that it is possible to implement a quantum perceptron with a sigmoid activation function as an efficient, reversible many-body unitary operation, and it is proved that such a quantum neural network is a universal approximator of continuous functions, with at least the same power as classical neural networks.
The quest for a Quantum Neural Network
- Computer ScienceQuantum Inf. Process.
- 2014
This article presents a systematic approach to QNN research, concentrating on Hopfield-type networks and the task of associative memory, and outlines the challenge of combining the nonlinear, dissipative dynamics of neural computing and the linear, unitary dynamics of quantum computing.
Quantum circuit learning
- Computer Science, PhysicsPhysical Review A
- 2018
A classical-quantum hybrid algorithm for machine learning on near-term quantum processors, which is hybridizing a low-depth quantum circuit and a classical computer for machinelearning, paves the way toward applications of near- term quantum devices for quantum machine learning.
Quantum convolutional neural networks
- Computer Science, PhysicsNature Physics
- 2019
A quantum circuit-based algorithm inspired by convolutional neural networks is shown to successfully perform quantum phase recognition and devise quantum error correcting codes when applied to arbitrary input quantum states.
Power of data in quantum machine learning
- Computer ScienceNature Communications
- 2021
The authors show how to tell, for a given dataset, whether a quantum model would give any prediction advantage over a classical one, and propose a projected quantum model that provides a simple and rigorous quantum speed-up for a learning problem in the fault-tolerant regime.
Quantum Entanglement in Neural Network States
- Physics, Computer Science
- 2017
The results uncover the unparalleled power of artificial neural networks in representing quantum many-body states, which paves a novel way to bridge computer science based machine learning techniques to outstanding quantum condensed matter physics problems.
An artificial neuron implemented on an actual quantum processor
- Computer Sciencenpj Quantum Information
- 2019
It is shown that this quantum model of a perceptron can be trained in a hybrid quantum-classical scheme employing a modified version of the perceptron update rule and used as an elementary nonlinear classifier of simple patterns, as a first step towards practical quantum neural networks efficiently implemented on near-term quantum processing hardware.
Prediction by linear regression on a quantum computer
- Computer Science
- 2016
An algorithm for prediction on a quantum computer which is based on a linear regression model with least-squares optimization, which is adapted to process nonsparse data matrices that can be represented by low-rank approximations, and significantly improve the dependency on its condition number.