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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Correlation minor norms, entanglement detection and discord
Bar Y Peled1, Amit Te'eni2, Avishy Carmi1
1Center for Quantum Information Science and Technology and Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba, 8410501, Israel.
Scientific Reports
|February 3, 2021
Summary
Researchers developed a new method for detecting quantum entanglement using correlation matrices and Correlation Minor Norms (CMN). This approach is more effective than existing criteria and offers intuitive, measurable insights into quantum correlations.
Area of Science:
- Quantum Information Science
- Quantum Physics
- Entanglement Theory
Background:
- Quantum entanglement is a fundamental resource in quantum information science.
- Detecting and quantifying entanglement is crucial for quantum technologies.
- Existing entanglement detection methods, like the computable cross-norm or realignment (CCNR) criterion, have limitations.
Purpose of the Study:
- To develop a novel and more robust approach for detecting quantum entanglement.
- To introduce a new family of entanglement detection parameters, Correlation Minor Norms (CMN).
- To establish a connection between CMN, entanglement entropy, and quantum discord.
Main Methods:
- Developing an entanglement detection approach based on measuring quantum correlations.
- Constructing a correlation matrix from measured quantum correlations.
- Defining Correlation Minor Norms (CMN) from the correlation matrix.
- Generalizing the computable cross-norm or realignment (CCNR) criterion.
- Illustrating a scheme to find separable states that maximize CMN.
Main Results:
- The proposed method, based on CMN, successfully detects entanglement.
- CMN provides a stronger criterion for entanglement detection compared to CCNR.
- A state-independent set of operators is required for CMN calculation.
- A scheme is presented to identify maximizing separable states for each CMN.
- The relationship between CMN and entanglement entropy for pure states is illustrated.
- CMN is shown to be related to quantum discord, enabling a new measure for it.
Conclusions:
- The Correlation Minor Norms offer an advantageous method for entanglement detection due to their intuitive nature and experimental measurability.
- The CMN approach generalizes and improves upon existing criteria like CCNR.
- CMN provides a new avenue for quantifying quantum discord, further highlighting its utility in quantum information theory.
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