用自适应选态提升量子过程层析精度,适用于大系统
Active Learning with Variational Quantum Circuits for Quantum Process Tomography
- 基于变分量子电路设计主动学习框架,动态选择最有效的输入态
- 在7比特随机量子电路上实现更优重建,系统越大提升越明显
- 为不同场景提供可落地的算法选择指南,推动量子表征发展
量子过程层析(QPT)是全面表征量子系统的核心工具,依赖于对一组量子态作为输入来查询量子过程。以往方法通常采用随机选择量子态的简单策略,忽视了不同状态之间的信息量差异。本文提出一种通用的主动学习(AL)框架,自适应地选择最具信息量的量子态子集以实现重构。我们设计并评估了多种AL算法,并为不同场景提供实用的选择建议。特别地,我们引入一个基于广泛使用的变分量子电路(VQC)的学习框架,将所提的AL算法集成到查询步骤中。通过重构由最多7个量子比特的随机量子电路产生的酉过程,数值结果表明,我们的AL算法显著提升了重构性能,且随着系统规模增大,提升幅度进一步增加。本工作为推进现有QPT方法开辟了新路径。
原文摘要 · Abstract (English)
Quantum process tomography (QPT) is a fundamental tool for fully characterizing quantum systems. It relies on querying a set of quantum states as input to the quantum process. Previous QPT methods typically employ a straightforward strategy for randomly selecting quantum states, overlooking differences in informativeness among them. In this work, we propose a general active learning (AL) framework that adaptively selects the most informative subset of quantum states for reconstruction. We design and evaluate various AL algorithms and provide practical guidelines for selecting suitable methods in different scenarios. In particular, we introduce a learning framework that leverages the widely-used variational quantum circuits (VQCs) to perform the QPT task and integrate our AL algorithms into the query step. We demonstrate our algorithms by reconstructing the unitary quantum processes resulting from random quantum circuits with up to seven qubits. Numerical results show that our AL algorithms achieve significantly improved reconstruction, and the improvement increases with the size of the underlying quantum system. Our work opens new avenues for further advancing existing QPT methods.
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