量子卷积神经网络(QCNN)代表量子机学习中的一种有希望的方法,为量子和经典数据分析铺平了新方向。由于缺乏贫瘠的高原问题,训练量子神经网络(QNN)及其可行性,这种方法特别有吸引力。但是,将QCNN应用于经典数据时会产生一个限制。当输入量子数的数量为两个功率时,网络体系结构是最自然的,因为每个池层中的数量减少了两个倍。输入量子位的数量确定可以处理的输入数据的尺寸(即功能数量),从而限制了QCNN算法对现实世界数据的适用性。为了解决此问题,我们提出了一个QCNN体系结构,能够处理任意输入数据尺寸,同时优化量子资源(例如辅助量子器和量子门)的分配。这种优化不仅对于最大程度地减少计算资源很重要,而且在嘈杂的中间量子量子(NISQ)计算中至关重要,因为可以可靠地执行的量子电路的大小是有限的。通过数值模拟,我们基准了具有任意输入数据维度的多个数据集的各种QCNN体系结构的分类性能,包括MNIST,Landsat卫星,时尚 - 纳斯特和电离层。结果验证了提出的QCNN体系结构在利用最小资源开销的同时实现了出色的分类性能,当可靠的量子计算受噪声和缺陷限制时,提供了最佳解决方案。
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