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We realize tunable coupling between two superconducting transmission lineresonators. The coupling is mediated by a non-hysteretic rf SQUID acting as aflux-tunable mutual inductance between the resonators. From the mode distanceobserved in spectroscopy experiments, we derive a coupling strength rangingbetween -320MHz and 37 MHz. In the case where the coupling strength is aboutzero, the microwave power cross transmission between the two resonators can bereduced by almost four orders of magnitude compared to the case where thecoupling is switched on. In addition, we observe parametric amplification byapplying a suitable additional drive tone.

Tunable coupling of transmission-line microwave resonators mediated by an rf SQUID