EPR Steering inequalities with Communication Assistance.

Area of Science:

• Quantum Information Theory
• Quantum Communication Complexity

Background:

• Einstein-Podolsky-Rosen (EPR) steering is a fundamental quantum phenomenon demonstrating non-locality.
• Understanding the classical communication cost to simulate quantum correlations is crucial for quantum information processing.

Purpose of the Study:

• To investigate the communication cost of reproducing EPR steering correlations in bipartite quantum systems.
• To characterize quantum states that allow EPR steering simulation with limited classical communication.

Main Methods:

• Analysis of local hidden state models augmented with classical communication.
• Characterization of bipartite quantum states based on communication complexity.
• Comparison with local hidden variable models for projective measurements.

Main Results:

• Identified bipartite quantum states that can simulate EPR steering with one bit of classical communication.
• Demonstrated that simulating EPR steering for a maximally entangled two-qubit state requires infinite classical communication.
• Conjectured that current quantum experiments could falsify two bits of communication for EPR steering simulation.

Conclusions:

• The classical communication cost to simulate EPR steering varies significantly depending on the quantum state.
• Maximally entangled states present a high barrier for classical simulation of quantum correlations.
• This research provides insights into the boundary between quantum and classical information processing.