Remote generation of Wigner-negativity through Einstein-Podolsky-Rosen steering

TL;DR

This paper demonstrates that Wigner-negativity, essential for quantum advantage in continuous variable systems, can be remotely generated through EPR steering, linking non-classicality to quantum correlations.

Contribution

It establishes a novel connection between EPR steering and remote Wigner-negativity generation, expanding the understanding of quantum resource distribution.

Findings

Photon subtraction induces Wigner-negativity only if EPR steering is present.

Wigner-negativity can be remotely prepared via EPR steering.

The effect depends on the correlations between modes.

Abstract

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.