Supported gates
The following gates are FLO gates and supported by FLOYao.jl:
| Gate | Comment |
|---|---|
XGate | Together with Y the only gate that does not preserve fermionic parity |
YGate | See above |
ZGate | |
RotationGate{⋯,⋯,ZGate} | The only single qubit rotation gate since $R_x(θ)γ_i R_x(-θ)$ is not a linear combination of Majorana operators for all Majorana operators. Similar for $R_y$ |
PauliKronBlock | A kronecker product of Pauli operators s.t. that first and last operator are either $X$ or $Y$ and all operators in between are $Z$. |
RotationGate{⋯,⋯,PauliKronBlock} | A rotation gate with generator as in the last line. |
KronBlock{⋯,⋯,RotationGate{⋯}} | Kronecker products of supported Rotation gates (i.e. those that are generated by supported PauliKronBlocks) |
TimeEvolution | Time evolution with FLO hamiltonians, i.e. sums of PauliKronBlocks |
AbstractMatrix | Unless the gate type is already explicitely implemented or know to not be a FLO gate, FLOYao will try to automatically convert the gate matrix in the qubit basis to a matrix in the Majorana basis. But note that this is fairly slow (although still poly-time instead of exp-time) |
If you want to add support to your own gates, read Adding support for custom gates to learn how to do that.