量子基礎・量子情報の新展開

We explore relations between quantum error correction and gauge theory. They have a conceptual similarity that quantum error correction provides a redundant description of logical qubits in terms of encoded qubits while gauge theory has a redundancy to describe physical states. Motivated by the conceptual similarity and recent demand for efficient ways to put gauge theories on quantum computers, we develop a comprehensive framework for constructing quantum error correcting codes from Abelian lattice gauge theories using quantum reference frames as a unifying formalism. This talk is mainly based on a joint work with Javier P. Lacambra, Aidan Chatwin-Davies and Philipp A. Hoehn (arXiv:2604.06087).