Adiabatic passage techniques, used to drive a system from one quantum state into another, find widespread applications in physics and chemistry. We focus on techniques to spatially transport a quantum amplitude over a strongly coupled system, such as STImulated Raman Adiabatic Passage (STIRAP) and Coherent Tunneling by Adiabatic Passage (CTAP). Previous results were shown to work on certain graphs, such as linear chains, square and triangular lattices, and branched chains. We prove that similar protocols work much more generally in a large class of (semi-)bipartite graphs. In particular, under random couplings, adiabatic transfer is possible on graphs that admit a perfect matching both when the sender is removed and when the receiver is removed. Many of the favorable stability properties of STIRAP/CTAP are inherited, and our results readily apply to transfer between multiple potential senders and receivers. We numerically test transfer between the leaves of a tree and find surprisingly accurate transfer, especially when straddling is used. Our results may find applications in short-distance communication between multiple quantum computers and open up a new question in graph theory about the spectral gap around the value 0.

中文翻译：

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用于振幅传递的受激拉曼绝热通道类协议推广到许多二部图

绝热通道技术用于将系统从一种量子态驱动到另一种量子态，在物理和化学中得到了广泛的应用。我们专注于在强耦合系统上空间传输量子幅度的技术，例如受激拉曼绝热通道 ​​(STIRAP) 和绝热通道相干隧道 (CTAP)。先前的结果显示适用于某些图，例如线性链、方形和三角形晶格以及支链。我们证明了类似的协议在一大类（半）二分图中更普遍地工作。特别是，在随机耦合下，当发送者被移除和接收者被移除时，在允许完美匹配的图上绝热传递是可能的。STIRAP/CTAP 的许多有利的稳定性特性是继承而来的，我们的结果很容易应用于多个潜在发送者和接收者之间的传输。我们对树的叶子之间的转移进行了数值测试，并发现了惊人的准确转移，尤其是在使用跨骑时。我们的结果可能会在多台量子计算机之间的短距离通信中找到应用，并在图论中开辟了一个关于值 0 附近光谱间隙的新问题。