Bound Entangled States Are Useful in Prepare-and-Measure Scenarios.

Area of Science:

• Quantum Information Science
• Quantum Foundations

Background:

• Classical and non-entangled quantum models satisfy correlation inequalities.
• Entanglement is known to violate certain inequalities, but often lacks noise tolerance.

Purpose of the Study:

• To investigate violations of correlation inequalities using bipartite bound entangled states in the prepare-and-measure scenario.
• To assess the noise tolerance and dimensionality dependence of these quantum correlations.

Main Methods:

• Utilizing bipartite bound entangled states.
• Analyzing the prepare-and-measure experimental scenario.
• Evaluating correlation inequalities.

Main Results:

• Bipartite bound entangled states lead to violations of correlation inequalities in the prepare-and-measure setting.
• These violations are substantial and demonstrate significant noise tolerance.
• Increasing the dimension of the bound entangled states enhances the observed quantum correlations.

Conclusions:

• Bound entanglement provides a resource for strong, noise-resilient quantum correlations in prepare-and-measure tasks.
• Higher-dimensional bound entangled states offer greater potential for demonstrating quantum advantage.