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arXiv 2406.07884quant-phcs.LG
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基于部分观测的多量子比特态纠缠消除的强化学习

Reinforcement Learning to Disentangle Multiqubit Quantum States from Partial Observations

Department of Mathematics and Informatics(数学与信息学系);St. Kliment Ohridski University of Sofia(索菲亚圣克莱门特·欧赫里迪斯大学);Joint Quantum Institute(联合量子研究所);Department of Physics(物理系);University of Maryland(马里兰大学);National Quantum Laboratory (QLab)(国家量子实验室(QLab));Institute of Physics(物理研究所);École Polytechnique Fédérale de Lausanne (EPFL)(洛桑联邦理工学院(EPFL));Center for Quantum Science and Engineering(量子科学与工程中心);Quantum Systems Unit(量子系统单元);OIST Graduate University(OIST研究生大学);Duke Quantum Center(杜克量子中心);Max Planck Institute for the Physics of Complex Systems(复杂系统物理研究所)

Pavel Tashev, Stefan Petrov, Matthew T. Diaz, Friederike Metz, Alaina M. Green, Norbert M. Linke, Marin Bukov

AI总结:

提出使用演员-评论家深度强化学习算法,仅基于两量子比特约化密度矩阵,为最多16量子比特态构建短纠缠消除电路,并在离子阱量子计算机上实验验证。

摘要:

利用量子态的部分知识来控制多量子比特纠缠,是量子交互动力学新兴领域中一个很大程度上未被探索的范式,有望解决量子态制备与压缩、量子控制和量子复杂性中的突出挑战。我们提出了一种使用演员-评论家算法的深度强化学习方法,用于构建最多16量子比特态的短纠缠消除电路。仅访问两量子比特约化密度矩阵,我们的智能体决定对哪些量子比特对应用两量子比特门;仅需局部信息使其可直接应用于现代NISQ设备,正如我们在离子阱量子计算机上实验演示的那样。利用置换等变变换器架构,智能体能够自主识别态中的量子比特排列,并相应调整纠缠消除协议。一旦训练完成,它能为不同初始态提供电路而无需进一步优化。我们展示了智能体识别和利用多量子比特态纠缠结构的能力。我们分析了智能体为4和5量子比特Haar随机态构建的纠缠消除电路,并观察到连续门之间以及所涉及量子比特之间的强相关性。通过广泛的基准测试,我们展示了RL方法在寻找具有最少门资源的纠缠消除协议方面的有效性。我们探索了训练好的智能体对噪声的鲁棒性,突显了它们在真实世界量子计算应用中的潜力。通过分析最优纠缠消除协议,我们报告了一个通用电路,可使用最多5个两量子比特门(10个CNOT门)制备任意4量子比特态。

英文摘要:

Using partial knowledge of a quantum state to control multiqubit entanglement is a largely unexplored paradigm in the emerging field of quantum interactive dynamics with the potential to address outstanding challenges in quantum state preparation and compression, quantum control, and quantum complexity. We present a deep reinforcement learning (RL) approach using an actor-critic algorithm for constructing short disentangling circuits for states with up to 16 qubits. With access to only two-qubit reduced density matrices, our agent decides which pairs of qubits to apply two-qubit gates on; requiring only local information makes it directly applicable on modern NISQ devices, as we demonstrated experimentally on a trapped-ion quantum computer. Utilizing a permutation-equivariant transformer architecture, the agent can autonomously identify qubit permutations within the state, and adjusts the disentangling protocol accordingly. Once trained, it provides circuits from different initial states without further optimization. We demonstrate the agent's ability to identify and exploit the entanglement structure of multi-qubit states. We analyze the disentangling circuits constructed by the agent for 4- and 5-qubit Haar-random states, and observe strong correlations between consecutive gates and among the qubits involved. Through extensive benchmarking, we show the efficacy of the RL approach to find disentangling protocols with minimal gate resources. We explore the resilience of our trained agents to noise, highlighting their potential for real-world quantum computing applications. Analyzing optimal disentangling protocols, we report a general circuit to prepare an arbitrary 4-qubit state using at most 5 two-qubit (10 CNOT) gates.

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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