Emulating the Bose-Hubbard Model with Arrays of Superconducting Qubits
William D. Oliver (MIT, Cambridge, Massachusetts, USA)
In this talk, we study the propagation, entanglement, and entropy of quantum information using 3x3 and 4x4 arrays of superconducting qubits that emulate the two-dimensional (2D) hard-core Bose-Hubbard model. The 2D arrays feature site-selective, simultaneous control and readout of all qubits. We highlight several recent experimental demonstrations using these arrays, including quantum random walks, Anderson and Wannier-Stark localization [1], the differentiation between area-law and volume-law entanglement scaling in these lattices [2], Aharonov-Bohm caging [3], and the emulation of flat-bands in 1D chains [4]. Time permitting, I will talk about recent improvements in control fidelity with fluxonium qubits at the 99.998% level for single-qubit gates [5].
[1] npj Quantum Information 8, 35 (2022) | arXiv:2107.05035 (2021)[2] Nature 629, 561-566 (2024) | arXiv:2306.02571 (2023)[3] Nature Physics 20, 1881-1887 (2024) | arXiv:2405.00873 (2024)[4] arXiv:2410.07878 (2024)[5] PRX Quantum 5, 040342 (2024) | arXiv:2406.08295 (2024)