论文标题
基质产品状态和量子多体疤痕的最佳转向
Optimal steering of matrix product states and quantum many-body scars
论文作者
论文摘要
量子模拟器的持续开发允许对量子多体系统的控制程度逐渐增强。这激发了有效方法的发展，以促进对此类系统的控制并实现非平凡量子状态的准备。在这里，我们制定了一种基于矩阵产品状态〜（MPS）的量子系统的方法。我们比较了所谓的局部转向问题的反浸润和泄漏最小化方法，其中包括找到控制参数的最佳价值，以在给定的方向上生成特定MPS状态的统一演变。为了基于不同的方法，我们将其应用于已知由于量子多体疤痕而已知具有相干量子动力学的PXP模型的概括。我们发现，基于泄漏的方法通常优于抵绝热的框架，并使用它来构建具有量子疤痕的浮雕模型。我们在全局轨迹优化方面执行第一步，并在广义PXP模型中演示纠缠转向功能。最后，我们将泄漏最小化方法应用于定期驱动的不可积分模型中构建量子疤痕。
Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of non-trivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states~(MPS). We compare counter-diabatic and leakage minimization approaches to the so-called local steering problem, that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS state in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counter-diabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally we apply our leakage minimization approach to construct quantum scars in the periodically driven non-integrable Ising model.
