Bosonic and Other Codes with Interesting Logical Gate Sets

Explore a comprehensive lecture on bosonic codes and their logical gate sets presented by Anthony Leverrier from INRIA. Delve into a general framework for designing bosonic codes with easily implementable logical gates, covering well-known families such as GKP and cat codes. Discover new constructions of multimode cat codes that allow passive Gaussian unitaries to implement all single-qubit Clifford gates. Learn how this strategy extends to multi-qubit codes with transversal gates. Gain insights into the latest advances in quantum coding theory, based on research from arXiv:2306.11621, in this 58-minute talk from the Simons Institute's "Advances in Quantum Coding Theory" series.

Bosonic (And Other) Codes With Interesting Logical Gate Sets