arXiv:2604.06135quant-phcs.AI2026-04被引 1

用测量次数分配实现高效量子数据编码,提升小规模量子神经网络性能。

Shot-based quantum encoding: a data-loading paradigm for quantum neural networks

论文配图:Shot-based quantum encoding: a data-loading paradigm for quantum neural networks
图 1 · 摘自论文原文
  • 将测量次数作为可学习参数,按数据分布分配到多个初始态上
  • 在三个图像数据集上准确率最高达90.25%,超越传统编码方式
  • 无需编码门即可实现,适合受限于硬件的量子机器学习任务

近中期量子机器学习中,高效数据加载仍是瓶颈。现有方法(角度、幅度、基编码)或未能充分利用指数级希尔伯特空间容量,或需要超出噪声中等规模量子硬件相干预算的电路深度。本文提出基于测量次数的量子编码(SBQE),将硬件原生资源‘测量次数’根据数据相关的经典分布分配至多个初始量子态。通过将测量次数视为可学习自由度,SBQE生成的混合态期望值与经典概率呈线性关系,可与非线性激活函数组合。我们证明SBQE在结构上等价于由量子电路实现权重的多层感知机,并提出兼容硬件的实现协议。在三个图像数据集上,10次独立初始化的基准测试显示:在Semeion上测试准确率达89.1%±0.9%(相对幅度编码误差降低5.3%,媲美同宽经典网络);Fashion MNIST上达80.95%±0.10%(优于幅度编码2.0个百分点,优于线性多层感知机1.3个百分点);MNIST上达90.25%±0.18%(优于幅度编码2.1个百分点,优于同宽经典网络0.3个百分点),全程无需任何数据编码门。

原文摘要 · Abstract (English)

Efficient data loading remains a bottleneck for near-term quantum machine learning. Existing schemes (angle, amplitude, and basis encoding) either underuse the exponential Hilbert-space capacity or require circuit depths that exceed the coherence budgets of noisy intermediate-scale quantum hardware. We introduce shot-based quantum encoding (SBQE), a data embedding strategy that distributes the hardware's native resource, shots, according to a data-dependent classical distribution over multiple initial quantum states. By treating the shot counts as a learnable degree of freedom, SBQE produces a mixed-state representation whose expectation values are linear in the classical probabilities and can therefore be composed with nonlinear activation functions. We show that SBQE is structurally equivalent to a multilayer perceptron whose weights are realized by quantum circuits, and we describe a hardware-compatible implementation protocol. Benchmarks on three image datasets, with 10 independent initializations per model, show that SBQE achieves 89.1% +- 0.9% test accuracy on Semeion (reducing error by 5.3% relative to amplitude encoding and matching a width-matched classical network), 80.95% +- 0.10% on Fashion MNIST (exceeding amplitude encoding by +2.0% and a linear multilayer perceptron by +1.3%), and 90.25% +- 0.18% on MNIST (exceeding amplitude encoding by 2.1 percentage points and the width-matched classical network by 0.3), all without any data-encoding gates.

量子机器学习数据编码混合态小规模量子

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