The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an interacting many-body system of bosons and measure quantities that are exponentially difficult to calculate numerically. We focus on the two-dimensional hard-core Bose–Hubbard model implemented as an array of floating transmon qubits. We describe a control scheme for such a lattice that can perform individual qubit readout and show how the scheme enables the preparation of a highly excited many-body state, in contrast with atomic implementations restricted to the ground state or thermal equilibrium. We discuss what observables could be accessed and how they could be used to better understand the properties of many-body systems, including the observation of the transition of eigenstate entanglement entropy scaling from area-law behavior to volume-law behavior.

对基于超导的量子计算机的追求促进了量子位和谐振器的定制晶格的制造和实验。在这里，我们描述了一个路线图，该路线图使用当前的实验功能来模拟相互作用的玻色子多体系统并测量难以指数计算的数量。我们关注于实现为浮动transmon量子位数组的二维硬核Bose-Hubbard模型。我们描述了一种可以执行单个qubit读出的晶格控制方案，并展示了该方案如何实现高激发多体态的制备，而原子实现则仅限于基态或热平衡。