2 papers
quant-ph2026
Cultivating logical catalysts for fault-tolerant dyadic phase rotations
Yichen Xu, Xiao Wang
We introduce a surface-code cultivation protocol for reusable logical catalyst states that implement exact fine dyadic phase gates by phase kickback. The catalyst is a…
quant-ph2026
Controlled jump in the Clifford hierarchy
Yichen Xu, Xiao Wang
We develop a simple and systematic route to higher levels of the qubit Clifford hierarchy by coherently controlling Clifford operations. Our approach is based on Pauli periodicity,…