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arXiv 2106.09415quant-phcs.LG
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变分量子分类器的可训练离散特征嵌入

Trainable Discrete Feature Embeddings for Variational Quantum Classifier

The University of Tokyo(东京大学);Keio University(庆应义塾大学);IBM Japan(IBM日本)

Napat Thumwanit, Chayaphol Lortaraprasert, Hiroshi Yano, Rudy Raymond

摘要:

量子分类器在希尔伯特空间中提供输入数据的复杂嵌入,有希望获得量子优势。这种优势源于量子特征映射,它利用变分量子线路将输入编码为量子态。最近的一项工作展示了如何使用量子随机访问编码(QRAC)来映射具有更少量子比特的离散特征,QRAC是将二进制字符串编码为量子态的重要原语。我们提出了一种新的方法,嵌入离散特征与可训练的量子线路相结合的QRAC和最近提出的策略训练量子特征映射称为量子度量学习。我们表明,所提出的可训练嵌入不仅需要像QRAC一样少的量子比特,而且还克服了QRAC对基于硬布尔函数的输入进行分类的局限性。我们在数值上证明了它在变分量子分类器中的使用,以在分类真实世界数据集时实现更好的性能,从而有可能利用近期量子计算机进行量子机器学习。

英文摘要:

Quantum classifiers provide sophisticated embeddings of input data in Hilbert space promising quantum advantage. The advantage stems from quantum feature maps encoding the inputs into quantum states with variational quantum circuits. A recent work shows how to map discrete features with fewer quantum bits using Quantum Random Access Coding (QRAC), an important primitive to encode binary strings into quantum states. We propose a new method to embed discrete features with trainable quantum circuits by combining QRAC and a recently proposed strategy for training quantum feature map called quantum metric learning. We show that the proposed trainable embedding requires not only as few qubits as QRAC but also overcomes the limitations of QRAC to classify inputs whose classes are based on hard Boolean functions. We numerically demonstrate its use in variational quantum classifiers to achieve better performances in classifying real-world datasets, and thus its possibility to leverage near-term quantum computers for quantum machine learning.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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