Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance

Fuente: arXiv
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Autori principali: Agarwal, Ishita, Patti, Taylor L., Bravo, Rodrigo Araiza, Yelin, Susanne F., Anandkumar, Anima
Natura: Preprint
Pubblicazione: 2024
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author Agarwal, Ishita
Patti, Taylor L.
Bravo, Rodrigo Araiza
Yelin, Susanne F.
Anandkumar, Anima
author_facet Agarwal, Ishita
Patti, Taylor L.
Bravo, Rodrigo Araiza
Yelin, Susanne F.
Anandkumar, Anima
contents Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML). At the core of QNC is the quantum perceptron (QP), which leverages the analog dynamics of interacting qubits to enable universal quantum computation. Canonically, a QP features $N$ input qubits and one output qubit, and is used to determine whether an input state belongs to a specific class. Rydberg atoms, with their extended coherence times and scalable spatial configurations, provide an ideal platform for implementing QPs. In this work, we explore the implementation of QPs on Rydberg atom arrays, assessing their performance in tasks such as phase classification between Z2, Z3, Z4 and disordered phases, achieving high accuracy, including in the presence of noise. We also perform multi-class entanglement classification by extending the QP model to include multiple output qubits, achieving 95\% accuracy in distinguishing noisy, high-fidelity states based on separability. Additionally, we discuss the experimental realization of QPs on Rydberg platforms using both single-species and dual-species arrays, and examine the error bounds associated with approximating continuous functions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_09093
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance
Agarwal, Ishita
Patti, Taylor L.
Bravo, Rodrigo Araiza
Yelin, Susanne F.
Anandkumar, Anima
Quantum Physics
Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML). At the core of QNC is the quantum perceptron (QP), which leverages the analog dynamics of interacting qubits to enable universal quantum computation. Canonically, a QP features $N$ input qubits and one output qubit, and is used to determine whether an input state belongs to a specific class. Rydberg atoms, with their extended coherence times and scalable spatial configurations, provide an ideal platform for implementing QPs. In this work, we explore the implementation of QPs on Rydberg atom arrays, assessing their performance in tasks such as phase classification between Z2, Z3, Z4 and disordered phases, achieving high accuracy, including in the presence of noise. We also perform multi-class entanglement classification by extending the QP model to include multiple output qubits, achieving 95\% accuracy in distinguishing noisy, high-fidelity states based on separability. Additionally, we discuss the experimental realization of QPs on Rydberg platforms using both single-species and dual-species arrays, and examine the error bounds associated with approximating continuous functions.
title Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance
topic Quantum Physics
url https://arxiv.org/abs/2411.09093