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Two-level systems (TLS) coupled to waveguides are a fundamental paradigm forlight-matter interactions and quantum networks. We introduce and experimentallydemonstrate a method to tune the interaction between a TLS, implemented as aflux qubit, and a transmission line waveguide from a decoupled state to acoupling strength that is a significant fraction of the TLS transitionfrequency, near the ultra-strong coupling regime. The coupling, controlled viamagnetic flux, is described by a normalized coupling strength $\alpha$ that ismeasured to range between $6.2\times10^{-5}$ and $2.19\times10^{-2}$, withlarger attainable maximum values predicted by a circuit model of the device.This system enables future investigations in the dynamics of the spin-bosonmodel, microwave photonics, and relativistic quantum information.

Tunable Coupler for Mediating Interactions between a Two-Level System and a Waveguide from a Decoupled State to the Ultra-Strong Coupling Regime