  Negativity of the Wigner function is seen as a crucial resource for reaching
a quantum computational advantage with continuous variable systems. However,
these systems, while they allow for the deterministic generation of large
entangle states, require an extra element such as photon subtraction to obtain
such negativity. Photon subtraction is known to affect modes beyond the one
where the photon is subtracted, an effect which is governed by the correlations
of the state. In this manuscript, we build upon this effect to remotely prepare
states with Wigner-negativity. More specifically, we show that photon
subtraction can induce Wigner-negativity in a correlated mode if and only if
that correlated mode can perform Einstein-Podolsky-Rosen steering in the mode
of subtraction.
