Efficient Scheme for Perfect Collective Einstein-Podolsky-Rosen Steering

TL;DR

This paper proposes a practical optomechanical scheme to achieve perfect collective Einstein-Podolsky-Rosen steering, enabling robust quantum secret sharing with potential experimental realization.

Contribution

It introduces a novel three-mode optomechanical setup that enables perfect collective EPR steering through laser tuning, demonstrating robustness against noise and mode differences.

Findings

Modes become mutually coherent when laser is tuned to the blue sideband.

The scheme achieves perfect collective EPR steering of the mirror.

It is feasible with current experimental technology and robust against various noise sources.

Abstract

A practical scheme for the demonstration of perfect one-sided device-independent quantum secret sharing is proposed. The scheme involves a three-mode optomechanical system in which a pair of independent cavity modes is driven by short laser pulses and interact with a movable mirror. We demonstrate that by tuning the laser frequency to the blue (anti-Stokes) sideband of the average frequency of the cavity modes, the modes become mutually coherent and then may collectively steer the mirror mode to a perfect Einstein-Podolsky-Rosen state. The scheme is shown to be experimentally feasible, it is robust against the frequency difference between the modes, mechanical thermal noise and damping, and coupling strengths of the cavity modes to the mirror.