Although multiparticle quantum walks have been claimed to be universal for quantum computing, fundamental issues still need further understanding, such as the formation of bound states and their role in particle dynamics. By considering the framework of two-particle quantum walks, we study particles with short- or long-range interactions between them and observe the emergence of local and non-local bound states associated with these interactions. We show that such bound states can perform competitive and cooperative influence with existing states, sometimes resulting in unusual dynamics. In addition to revealing the optimal scenarios for particles to perform coherent dynamics, we also show that cooperative scenarios between bound states are responsible for robustly correlated quantum walks. Thus, coherent dynamics of particles can be maintained even for strong interaction strengths, avoiding the nonmonotonic behavior exhibited by systems with only on-site interaction.

中文翻译：

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相互作用粒子的量子行走中的合作束缚态

尽管多粒子量子行走被认为对于量子计算具有普遍性，但基本问题仍然需要进一步理解，例如束缚态的形成及其在粒子动力学中的作用。通过考虑双粒子量子行走的框架，我们研究了粒子之间具有短程或长程相互作用的粒子，并观察与这些相互作用相关的局部和非局部束缚态的出现。我们表明，这种束缚态可以与现有态产生竞争和合作影响，有时会导致不寻常的动态。除了揭示粒子执行相干动力学的最佳场景之外，我们还表明束缚态之间的合作场景负责鲁棒相关的量子行走。因此，即使在强相互作用强度下也可以保持粒子的相干动力学，从而避免仅具有现场相互作用的系统表现出的非单调行为。