Tsirelson's Bound Prohibits Communication through a Disconnected Channel.

Area of Science:

• Quantum Information Theory
• Foundations of Quantum Mechanics

Background:

• Nonlocal correlations are a key feature of quantum mechanics.
• Tsirelson's bound mathematically limits the strength of these correlations in bipartite systems.
• The physical origin of this bound has remained an open question.

Purpose of the Study:

• To provide a statistical justification for Tsirelson's bound.
• To explore the relationship between communication and nonlocal correlations.
• To investigate the physical implications of violating Tsirelson's bound.

Main Methods:

• Construction of a novel communication channel.
• Analysis of input-output statistical independence.
• Investigation of communication feasibility under different correlation regimes.

Main Results:

• A channel was constructed where input is statistically independent of output.
• Communication through this channel is possible if and only if Tsirelson's bound is violated.
• This establishes a direct link between communication and the violation of the bound.

Conclusions:

• The study provides a statistical explanation for Tsirelson's bound.
• Violation of the bound is shown to be a necessary and sufficient condition for communication in this specific channel.
• This deepens our understanding of the fundamental limits of quantum correlations.