Abstract

Variational quantum circuits (VQCs) built upon noisy intermediate-scale quantum (NISQ) hardware, in conjunction with classical processing, constitute a promising architecture for quantum simulations, classical optimization, and machine learning. However, the required VQC depth to demonstrate a quantum advantage over classical schemes is beyond the reach of available NISQ devices. Supervised learning assisted by an entangled sensor network (SLAEN) is a distinct paradigm that harnesses VQCs trained by classical machine-learning algorithms to tailor multipartite entanglement shared by sensors for solving practically useful data-processing problems. Here, we report the first experimental demonstration of SLAEN and show an entanglement-enabled reduction in the error probability for classification of multidimensional radio-frequency signals. Our work paves a new route for quantum-enhanced data processing and its applications in the NISQ era.

Highlights

  • The convergence of quantum information science and machine learning (ML) has endowed radically new capabilities for solving complex physical and data-processing problems [1,2,3,4,5,6,7,8,9]

  • SLAEN first copes with 2D data acquired by two entangled sensors, as illustrated in data classification, we demonstrate the classification of the incident direction of an emulated rf field

  • Our work opens a new route for exploiting noisy intermediate-scale quantum (NISQ) hardware to enhance the performance of real-world data-processing tasks

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Summary

INTRODUCTION

The convergence of quantum information science and machine learning (ML) has endowed radically new capabilities for solving complex physical and data-processing problems [1,2,3,4,5,6,7,8,9]. Recent developments in hybrid systems [9,12] comprising classical processing and variational quantum circuits (VQCs) open an alternative avenue for quantum ML. In this regard, a variety of hybrid schemes have been proposed, including quantum approximate optimization [13], variational quantum eigensolvers [14], quantum multiparameter estimation [15], and quantum kernel estimators and variational quantum models [4,5]. Hybrid schemes have been implemented to seek the ground state of quantum systems [14,16], to perform data classification [4], to unsample a quantum circuit [17], and to solve the MAXCUT problem [18,19]. An imperative objective for quantum ML is to harness NISQ hardware to benefit practically useful applications [2]

SUPERVISED LEARNING ASSISTED BY AN ENTANGLED SENSOR NETWORK
EXPERIMENT
DISCUSSIONS
CONCLUSIONS
Experimental setup
H Q PM 1 H
M var pffiffiffiffiffi vm expðiφmÞbm m
Experiment for general 3D data classification
Simulation for two-dimensional data classification
Simulation for three-dimensional data classification
Simulation for 3D data classification using separable squeezed states
Experimental noise calibrations
Findings
Performance comparison

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