Deterministic teleportation of a quantum gate between two logical qubits*

The demands of quantum error correction dictate that quantum computations be performed using error-protected logical qubits. The implementation of gates between logical qubits requires achieving the couplings necessary for the desired operation while minimizing residual interactions to maintain sufficient coherence and control. One promising approach to address this challenge is the modular architecture, where modules–which minimally consist of a logical qubit and an ancillary communication qubit–are isolated from each other except through specific quantum channels. In such a paradigm, operations are enabled via quantum teleportation, a technique that obviates the need for direct interaction between logical qubits. Instead, teleportation-based protocols utilize shared entanglement between modules, local operations, and classical communication to implement a quantum process. In a superconducting cQED architecture, we demonstrate a teleported CNOT gate between logical qubits encoded in microwave cavities, a promising hardware-efficient approach for quantum information. In this talk, we report on the implementation and characterization of this deterministic teleported quantum gate. By combining a hardware-efficient approach with the teleported operation, our results illustrate a compelling approach to implement multi-qubit gates on logical qubits that also is also an important component of a modular quantum architecture.