qml.liealg.AII

AII(op, wire=None)

Canonical Cartan decomposition of type AII, given by \(\theta: x \mapsto Y_0 x^\ast Y_0\).

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

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