qml.fermi.FermiA¶

class FermiA(orbital)[source]¶

Bases: pennylane.fermi.fermionic.FermiWord

The fermionic annihilation operator \(a\)

For instance, the operator qml.FermiA(2) denotes \(a_2\). This operator applied to \(\ket{0010}\) gives \(\ket{0000}\).

Parameters: orbital (int) – the non-negative integer indicating the orbital the operator acts on.

Note

While the FermiA class represents a mathematical operator, it is not a PennyLane qubit Operator.

See also

Example

To construct the operator \(a_0\):

>>> FermiA(0)
a(0)

This can be combined with the creation operator FermiC. For example, \(a^{\dagger}_0 a_1 a^{\dagger}_2 a_3\) can be constructed as:

>>> qml.FermiC(0) * qml.FermiA(1) * qml.FermiC(2) * qml.FermiA(3)
a⁺(0) a(1) a⁺(2) a(3)

code/api/pennylane.fermi.FermiA

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