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Updated: Oct 11, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Observers of quantum systems cannot agree to disagree
Patricia Contreras-Tejada1, Giannicola Scarpa2, Aleksander M Kubicki3
1Instituto de Ciencias Matemáticas, 28049, Madrid, Spain.
This study explores if observer agreement is a physical principle. It extends the Agreement Theorem to quantum systems, finding that some post-quantum theories allow observers to "agree to disagree." This links quantum information and epistemology.
Area of Science:
- Quantum foundations
- Epistemics
- Quantum information theory
Background:
- Active research in quantum foundations seeks constraints to rule out post-quantum theories.
- Aumann's Agreement Theorem states classical observers cannot agree to disagree.
Purpose of the Study:
- To investigate if observer agreement can be a physical principle for any theory of the world.
- To extend the Agreement Theorem to no-signaling settings and quantum systems.
Main Methods:
- Extension of Aumann's Agreement Theorem to no-signaling scenarios.
- Construction of post-quantum no-signaling boxes to demonstrate agreement to disagree.
Main Results:
- An Agreement Theorem is established for observers of quantum systems.
- Examples of post-quantum no-signaling boxes are constructed where observers can agree to disagree.
- The PR box is identified as an extremal instance of this phenomenon.
Conclusions:
- Observer agreement may be a physical principle.
- The study establishes links between epistemology and quantum information, warranting further exploration.
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