Universal adversarial examples and perturbations for quantum classifiers  

作　　者：Weiyuan Gong Dong-Ling Deng 

机构地区：[1]Center for Quantum Information,Institute for Interdisciplinary Information Sciences(ⅢS).Tsinghua University,Beijing 100084,China [2]Shanghai Qi Zhi Institute,Shanghai 200232,China

出　　处：《National Science Review》2022年第6期43-50,共8页国家科学评论（英文版）

基　　金：supported by the start-up fund from Tsinghua University (53330300320);the National Natural Science Foundation of China (12075128);the Shanghai Qi Zhi Institute。

摘　　要：Quantum machine learning explores the interplay between machine learning and quantum physics, which may lead to unprecedented perspectives for both fields. In fact, recent works have shown strong evidence that quantum computers could outperform classical computers in solving certain notable machine learning tasks. Yet, quantum learning systems may also suffer from the vulnerability problem: adding a tiny carefully crafted perturbation to the legitimate input data would cause the systems to make incorrect predictions at a notably high confidence level. In this paper, we study the universality of adversarial examples and perturbations for quantum classifiers. Through concrete examples involving classifications of real-life images and quantum phases of matter, we show that there exist universal adversarial examples that can fool a set of different quantum classifiers. We prove that, for a set of k classifiers with each receiving input data of n qubits, an O(ln [k]/2) increase of the perturbation strength is enough to ensure a moderate universal adversarial risk. In addition, for a given quantum classifier, we show that there exist universal adversarial perturbations, which can be added to different legitimate samples to make them adversarial examples for the classifier. Our results reveal the universality perspective of adversarial attacks for quantum machine learning systems, which would be crucial for practical applications of both near-term and future quantum technologies in solving machine learning problems.

关 键 词：quantum machine learning quantum classifiers adversarial examples measure concentration quantum no-free-lunch theorem 

分 类 号：O413[理学—理论物理] TP181[理学—物理]