Randomized benchmarking of a high-fidelity remote CNOT gate over a meter-scale microwave interconnect

In the modular superconducting quantum processor architecture, high-fidelity, meter-scale microwave interconnect between processor modules is a key technology for extending system size beyond constraints imposed by device manufacturing equipment, yield, and signal delivery. While there have been many demonstrations of remote state transfer between modules, these relied on tomographic experiments for benchmarking, but this technique does not reliably separate State Preparation And Measurement (SPAM) error from error per state transfer. Recent developments based on randomized benchmarking provide a compatible theory for separating these two errors. In this work, we present a module-to-module interconnect based on Tunable-Coupling Qubits (TCQs) and benchmark, in a SPAM error tolerant manner, a remote state transfer fidelity of 0.988 across a 60cm long coplanar waveguide (CPW). The state transfer is implemented via superadiabatic transitionless driving method, which suppresses intermediate excitation in internal modes of CPW. We also introduce the frame tracking technique to correct unintended qubit phase rotations before and after the state transfers, which enables the SPAM-error-tolerant benchmarking of the state transfers. We further propose and construct a remote CNOT gate between modules, composed of local CZ gates in each module and remote state transfers, and report a high gate fidelity of 0.933 using randomized benchmarking method. The remote CNOT construction and benchmarking we present is a more complete metric that fully characterizes the module to module link operation going forward as it more closely represents interconnect operation in a circuit.