使用复制法评估量子感知器的存储容量

Mitsuru Urushibata, Masayuki Ohzeki
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引用次数: 0

摘要

我们研究了在量子电路上使用peat until方法实现的量子感知器。我们从容量的角度对其进行评估,容量是感知器的性能评估指标之一。我们评估了一个加德纳量(Gardnervolume),它被定义为使用复制法取消错误分类给定训练实例的感知器系数量。该模型定义在量子电路上。然而,使用复制法可以直接评估容量,这是经典统计力学的标准方法。我们之所以能用复制法求解我们的模型,是因为我们采用了重复直到法,在这种方法中,我们关注量子电路的测量输出。我们发现量子感知器的容量大于经典感知器,因为量子感知器很简单,但实际上属于激活函数的高度非线性形式。
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Storage Capacity Evaluation of the Quantum Perceptron using the Replica Method
We investigate a quantum perceptron implemented on a quantum circuit using a repeat until method. We evaluate this from the perspective of capacity, one of the performance evaluation measures for perceptions. We assess a Gardner volume, defined as a volume of coefficients of the perceptron that can correctly classify given training examples using the replica method. The model is defined on the quantum circuit. Nevertheless, it is straightforward to assess the capacity using the replica method, which is a standard method in classical statistical mechanics. The reason why we can solve our model by the replica method is the repeat until method, in which we focus on the output of the measurements of the quantum circuit. We find that the capacity of a quantum perceptron is larger than that of a classical perceptron since the quantum one is simple but effectively falls into a highly nonlinear form of the activation function.
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