Invariant subspaces of two-qubit quantum gates and their application in the verification of quantum computers

Yordan S. Yordanov, Jacob Chevalier-Drori, Thierry Ferrus +2

We investigate the groups generated by the sets of $CP$, $CNOT$ and $SWA{P}^{\alpha }$ (power-of-SWAP) quantum gate operations acting on $n$ qubits. Isomorphisms to standard groups are found…