



01797nas a2200229   4500008004100000245007000041210006800111260001400179300001200193490000800205520107400213653003701287653002701324653003901351653003101390100002101421700002401442700001901466700002301485700002201508856003701530       2022                        eng d00aTweezer-programmable 2D quantum walks in a Hubbard-regime lattice0 aTweezerprogrammable 2D quantum walks in a Hubbardregime lattice  c8/18/2022  a885-8890 v3773 a<p>Quantum walks provide a framework for understanding and designing quantum algorithms that is both intuitive and universal. To leverage the computational power of these walks, it is important to be able to programmably modify the graph a walker traverses while maintaining coherence. Here, we do this by combining the fast, programmable control provided by optical tweezer arrays with the scalable, homogeneous environment of an optical lattice. Using this new combination of tools we study continuous-time quantum walks of single atoms on a 2D square lattice, and perform proof-of-principle demonstrations of spatial search using these walks. When scaled to more particles, the capabilities demonstrated here can be extended to study a variety of problems in quantum information science and quantum simulation, including the deterministic assembly of ground and excited states in Hubbard models with tunable interactions, and performing versions of spatial search in a larger graph with increased connectivity, where search by quantum walk can be more effective.</p>10aAtomic Physics (physics.atom-ph)10aFOS: Physical sciences10aQuantum Gases (cond-mat.quant-gas)10aQuantum Physics (quant-ph)1 aYoung, Aaron, W.1 aEckner, William, J.1 aSchine, Nathan1 aChilds, Andrew, M.1 aKaufman, Adam, M.  uhttps://arxiv.org/abs/2202.01204