Quantum metrology enhanced by quantum error correction

Rapid experimental progress has brought quantum metrology, the science of measurements and estimation in quantum systems, to the forefront of quantum science in the past decades. In this talk, I focus on the challenge of noise in quantum metrology from a quantum information perspective, and address the question of determining the ultimate estimation limits in quantum metrology under noise. In particular, we identify a simple criterion on general quantum systems that determines whether the Heisenberg limit in quantum metrology is achievable or not. We then explore quantum error correction as a powerful tool to achieve the ultimate estimation precision in both cases. Finally we present examples of quantum error-correcting codes for sensing in practical physical systems.