Superconducting Metamaterials for Quantum Simulations and Qubit Addressability in Quantum Processors

Superconducting metamaterials composed of lumped-element inductors and capacitors are used to implement microwave photonics with novel dispersion relations and dense mode spectra that can be coupled to qubits. Metamaterial lattices may have qubits coupled to different unit cells in the metamaterial such that each qubit will couple strongly to modes with an antinode at the qubit location. Through simultaneous driving of combinations of modes, large amplitudes are produced at only one or a few unit cells, resulting in large ac Stark shifts of qubits located there, and providing a frequency-addressable qubit array without requiring flux-tunability and with reduced control wiring.