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Updated: Aug 9, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Entanglement and quantum correlation measures for quantum multipartite mixed states
Arthur Vesperini1,2,3, Ghofrane Bel-Hadj-Aissa1,2,3, Roberto Franzosi4,5,6
1DSFTA, University of Siena, Via Roma 56, Siena, 53100, Italy.
Researchers developed new computable measures for quantum correlation and entanglement in multipartite mixed states. These measures offer a closed-form expression and help distinguish non-classical states, advancing quantum information science.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Communication
Background:
- Quantum entanglement and correlation are vital resources for quantum technologies.
- A computable measure for multipartite mixed state entanglement is currently lacking.
Purpose of the Study:
- To derive a computable measure for quantum correlation in mixed multipartite states.
- To propose a novel entanglement measure derived from the quantum correlation measure.
- To enable the distinction between separable non-classical states and entangled states.
Main Methods:
- Derivation of a general closed-form expression for quantum correlation in multipartite mixed states.
- Development of a novel regularization procedure for density matrices.
- Application and validation of the proposed measures on known multipartite states (Bell diagonal, Werner, and their generalizations).
Main Results:
- A general closed-form expression for quantum correlation in mixed multipartite states was successfully derived.
- A novel entanglement measure was proposed, distinct from the quantum correlation measure.
- The measures were validated on various multipartite states, showing accordance with expected results.
Conclusions:
- The developed measures provide a computable method for quantifying quantum correlation and entanglement in multipartite mixed states.
- The proposed framework allows for the identification of separable yet non-classical states.
- These advancements are crucial for the practical implementation of quantum technologies.
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