The speed limit of quantum state transfer (QST) in a system of interacting particles is not only important for quantum information processing, but also directly linked to Lieb–Robinson-type bounds that are crucial for understanding various aspects of quantum many-body physics. For strongly long-range interacting systems such as a fully-connected quantum computer, such a speed limit is still unknown. Here we develop a new quantum brachistochrone method that can incorporate inequality constraints on the Hamiltonian. This method allows us to prove an exactly tight bound on the speed of QST on a subclass of Hamiltonians experimentally realizable by a fully-connected quantum computer.

中文翻译：

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全连接量子计算机中的时间最优量子状态转移


相互作用粒子系统中量子态转移（QST）的速度限制不仅对于量子信息处理很重要，而且与李布-罗宾逊型界限直接相关，这对于理解量子多体物理的各个方面至关重要。对于全连接量子计算机等强远程交互系统，这样的速度限制仍然未知。在这里，我们开发了一种新的量子速时线方法，可以结合哈密顿量的不等式约束。这种方法使我们能够证明哈密顿量子类上 QST 速度的严格限制，该子类可通过全连接量子计算机实验实现。