# sf.ops.Vac¶

Vac = <strawberryfields.ops.Vacuum object>

Prepare a mode in the vacuum state.

Can be accessed via the shortcut variable Vac.

Note

By default, newly created modes in Strawberry Fields default to the vacuum state.

Definition

The vacuum state $$\ket{0}$$ is a Gaussian state defined by

$\ket{0} = \frac{1}{\sqrt[4]{\pi \hbar}} \int dx~e^{-x^2/(2 \hbar)}\ket{x} ~~\text{where}~~ \a\ket{0}=0$

Tip

Available in Strawberry Fields as a NumPy array by strawberryfields.utils.vacuum_state()

In the Fock basis, it is represented by Fock state $$\ket{0}$$, and in the Gaussian formulation, by $$\bar{\mathbf{r}}=(0,0)$$ and $$\mathbf{V}= \frac{\hbar}{2} I$$.

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