Performance Evaluation of a Variational Quantum Classifier

Nisheeth Saxena, Akriti Nigam
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Abstract

Quantum Machine Learning (QML) is a newly emerging research area at the intersection of classical machine learning (CML) and quantum computing (QC). Data is becoming voluminous rapidly, so it is challenging for classical computers to train Machine Learning (ML) models over massive datasets. The hope is that quantum physics' intrinsic features, such as entanglement, superposition, and interference, could be exploited as resources for training ML models on big datasets that would otherwise be relatively impossible for classical computers. It is theoretically proven that quantum computers have an exponential-time advantage over their classical counterparts in solving several problems, e.g., complex large dimensional matrix multiplication, factorization problem, unstructured database search, etc. QML models attempt to find a quantum advantage over their classical counterparts. Variational Quantum Classifiers (VQC) are hybrid quantum neural networks to perform the task of classification using QML models. VQC models in the present NISQ (Noisy Intermediate Scale Quantum — 50 to 100 qubits) era can produce comparable and even better results than Classical models. In this article, we examined the performance of a VQC while performing a simple binary classification task. In this article, we use a VQC to evaluate this method's performance empirically. We constructed a VQC to predict the label of fresh input for the typical Iris dataset comprising pairings of target outputs and training inputs. Our quantum classifier can reasonably predict species labels using only four qubits. These levels are fairly good compared to the accuracy levels attained by classical classifiers.
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变分量子分类器的性能评价
量子机器学习(QML)是经典机器学习(CML)和量子计算(QC)交叉的新兴研究领域。数据量迅速增加,因此经典计算机在海量数据集上训练机器学习(ML)模型具有挑战性。希望量子物理学的内在特征,如纠缠、叠加和干涉,可以作为在大数据集上训练ML模型的资源,否则经典计算机相对不可能做到这一点。从理论上证明,量子计算机在解决复杂的大维矩阵乘法、因数分解问题、非结构化数据库搜索等问题时,比经典计算机具有指数级的时间优势。QML模型试图找到优于经典模型的量子优势。变分量子分类器(VQC)是一种混合量子神经网络,它使用QML模型来执行分类任务。在目前的NISQ(有噪声的中间尺度量子- 50到100量子比特)时代,VQC模型可以产生与经典模型相当甚至更好的结果。在本文中,我们在执行简单的二进制分类任务时检查了VQC的性能。在本文中,我们使用VQC对该方法的性能进行了实证评估。我们构建了一个VQC来预测典型虹膜数据集的新输入标签,该数据集包括目标输出和训练输入的配对。我们的量子分类器仅使用四个量子比特就可以合理地预测物种标签。与经典分类器获得的准确度水平相比,这些水平相当好。
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