AI 中文总结
该研究针对有限时域量子控制提出基于硬件高效量子近似的变分框架，将控制目标转化为变分优化问题，通过优化参数化量子电路实现高保真状态转移，展示了方法在多比特基准测试中的性能及相关权衡。
AI 中文摘要
我们提出了一种基于硬件高效量子近似的有限时域量子控制变分量子框架。目标是在固定时间范围内，通过最小化根据状态保真度定义的终端成本，将量子系统从给定初始状态引导到期望目标状态。该方法将控制目标重新表述为变分优化问题，利用硬件高效参数化量子电路替代终端演化。电路由单比特旋转和纠缠门交替层组成，通过经典例程优化参数以最小化终端失配。此公式避免依赖特定问题或物理启发的量子近似，提供了与近期量子设备兼容的灵活且易于实现的方法。多比特状态转移基准测试的数值实验证明了高保真状态转移，同时突出了量子近似表现力、优化复杂度以及与系统大小和电路深度相关的可扩展性之间的权衡。
英文摘要
We present a variational quantum framework for finite-horizon quantum control based on hardware-efficient ansätze. The objective is to steer a quantum system from a given initial state to a desired target state over a fixed time horizon by minimizing a terminal cost defined in terms of state fidelity. Instead of explicitly synthesizing time-dependent control fields or enforcing Hamiltonian reachability constraints, the proposed method reformulates the control objective as a variational optimization problem in which a hardware-efficient parameterized quantum circuit provides a surrogate parameterization of the terminal evolution. The circuit consists of alternating layers of single-qubit rotations and entangling gates, whose parameters are optimized using classical routines to minimize the terminal infidelity. This formulation avoids reliance on problem-specific or physics-inspired ansätze, providing a flexible and implementation-friendly approach compatible with near-term quantum devices. Numerical experiments on multi-qubit state-transfer benchmarks demonstrate high-fidelity state transfer while highlighting the trade-off between ansatz expressivity, optimization complexity, and scalability with respect to system size and circuit depth.
Comments6 pages, 5 figures
