qml.liealg.A¶

A(op, wire=None)[source]¶

Canonical Cartan decomposition of type A on $\mathfrak{su}(n)\oplus \mathfrak{su}(n)$ , given by $\theta: x\oplus y \mapsto y\oplus x$ .

Note

Note that we work with Hermitian operators internally, so that the input will be multiplied by $i$ before evaluating the involution.

Parameters

op (Union[np.ndarray, PauliSentence, Operator]) – Operator on which the involution is evaluated and for which the parity under the involution is returned.
wire (int) – The wire on which the Pauli- $Y$ operator acts to implement the involution. Will default to 0 if None.

Returns

Whether or not the input operator (times $i$ ) is in the eigenspace of the involution $\theta$ with eigenvalue $+1$ .

Return type

bool