All most expensive 6-qubit Clifford unitaries requiring 15 entangling gates (up to left and right multiplication by the single-qubit gates and qubit relabeling).

6-qubit optimal Clifford circuits

Clifford group lies at the core of quantum computation—it underlies quantum error correction, its elements can be used to perform magic state distillation and they form randomized benchmarking protocols, Clifford group is used to study […]