TY - JOUR T1 - Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice JF - Science Y1 - 2022 A1 - Young, Aaron W. A1 - Eckner, William J. A1 - Schine, Nathan A1 - Andrew M. Childs A1 - Kaufman, Adam M. KW - Atomic Physics (physics.atom-ph) KW - FOS: Physical sciences KW - Quantum Gases (cond-mat.quant-gas) KW - Quantum Physics (quant-ph) AB -

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.

VL - 377 U4 - 885-889 UR - https://arxiv.org/abs/2202.01204 CP - 6608 U5 - https://doi.org/10.1126/science.abo0608 ER -