Title: Taming Quantum Noise in Qubits and Codes

Quantum noise in a system is typically characterized using metrics that reflect the probability of error or probability of a non-ideal operation. In this talk I will discuss our recent works which show that the ability to reliably process quantum information crucially depends on the structure of noise which is not simply captured by the probability of an error. Previous efforts to develop effective error correction for such noise were stymied by the challenge of preserving the noise-structure during physical operations. I will highlight our progress towards designing fundamentally new kinds of qubits and error-correction protocols that overcome this challenge.