Overview Quantum error correction has deep implications beyond quantum computing—two examples being its connections to topological phases of matter and quantum gravity. Recent exciting developments in these directions include the discovery of optimal quantum LDPC codes, progress towards the quantum PCP conjecture such as the proof of the NTLS conjecture, and the invention of Floquet...

Feedback control is used everywhere in today's current technologies - everyone that has noise cancelling headphones for example, uses feedback control to cancel out surrounding noise. In quantum machines - feedback control has been studied theoretically for some years, but only recently has it become to be possible experimentally to develop these ideas. Researchers are...