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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Entanglement and indistinguishability: facing some challenges from a new perspective.

Olimpia Lombardi¹

¹Universidad de Buenos Aires, CONICET. Puan 480, Buenos Aires 1420, Argentina.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|July 30, 2023

Summary

This study clarifies quantum entanglement for indistinguishable particles by using an ontology of properties. It unifies the treatment of entanglement for both distinguishable and indistinguishable particles, resolving conceptual debates.

Keywords:

algebraic formalism ontology of properties relativity of entanglement

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Area of Science:

Quantum Mechanics
Foundations of Physics
Quantum Information Theory

Background:

Entanglement in quantum mechanics is well-defined for distinguishable particles.
Conceptual issues and debates persist regarding entanglement for indistinguishable particles.
Current approaches often treat distinguishable and indistinguishable cases differently, leading to perplexities due to non-factorizable states.

Purpose of the Study:

To address fundamental conceptual issues in quantum entanglement concerning indistinguishable particles.
To propose a unified framework for understanding entanglement across both distinguishable and indistinguishable particle systems.
To resolve perplexities arising from the non-factorizable nature of symmetrized and antisymmetrized states.

Main Methods:

Utilizes an ontology of properties as the foundational perspective.
Employs the algebraic formalism of quantum mechanics for theoretical expression.
Analyzes the conceptual differences in treating entanglement for distinguishable versus indistinguishable particles.

Main Results:

Demonstrates that an ontology of properties provides a unified approach to quantum entanglement.
Shows how this framework resolves conceptual perplexities associated with indistinguishable particles.
Establishes a consistent definition and treatment of entanglement irrespective of particle distinguishability.

Conclusions:

The proposed ontology of properties offers a clear and unified understanding of quantum entanglement.
This approach effectively bridges the gap between the treatment of distinguishable and indistinguishable particles.
The framework provides a straightforward resolution to long-standing debates on entanglement in quantum mechanics.