Quantum Error Correction with Superconducting Circuits

Quantum computing has the potential to solve problems that are intractable for the most powerful supercomputers. However, quantum computers must overcome errors arising from decoherence and imperfect control to realize this potential. Quantum error correction provides a path to bridge the gap between physical error rates and the extremely low logical error rates required for quantum computing applications.

In this talk, I present key building blocks of error corrected quantum computation with superconducting circuits, a leading platform for quantum computation. Specifically, I cover the experimental demonstration of repeated quantum error correction in the surface code and in the color code. I scale the code size and provide evidence that larger logical qubits have lower logical error rates. Additionally, I realize single-qubit logical gates and multi-qubit logical operations via lattice surgery, which are key techniques for error-corrected logical operations. Together, these contributions strengthen the evidence that large-scale quantum computation can be realized in practice.