dq.position

position(dim: int, *, layout: Layout | None = None) -> QArray

Returns the position operator \(x = (a^\dag + a) / 2\).

Parameters

• dim –

  Dimension of the Hilbert space.

• layout –

  Matrix layout (dq.dense, dq.dia or None).

Returns

(qarray of shape (dim, dim)) Position operator.

Examples

>>> dq.position(3)
QArray: shape=(3, 3), dims=(3,), dtype=complex64, layout=dia, ndiags=2
[[    ⋅     0.5  +0.j     ⋅    ]
 [0.5  +0.j     ⋅     0.707+0.j]
 [    ⋅     0.707+0.j     ⋅    ]]