Unifying the Clifford Hierarchy via Symmetric Matrices over Rings

Understand

The Clifford hierarchy is a foundational concept for universal quantum computation (UQC).

• It was introduced to show that UQC can be realized via quantum teleportation, given access to certain standard resources.
• While the full structure of the hierarchy is still not understood, Cui et al.
• (arXiv:1608.06596) recently described the structure of diagonal unitaries in the hierarchy.