Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits

Understand

The classification of topological phases of matter is a fundamental challenge in quantum many-body physics, with applications to quantum technology.

• Recently, this classification has been extended to the setting of Adaptive Finite-Depth Local Unitary (AFDLU) circuits which allow global classical communication.
• In this setting, the trivial phase is the collection of all topological states that can be prepared via AFDLU.
• Here, we propose a complete classification of the trivial phase by showing how to prepare all solvable anyon theories that admit a gapped boundary via AFDLU, extending recent results on solvable groups.