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

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Published on: September 5, 2019

Quantum correlation exists in any non-product state.

Yu Guo¹, Shengjun Wu²

¹School of Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, China.

Scientific Reports

|December 2, 2014

Summary

Quantum correlation in complementary bases is inherent in all non-product bipartite states. A new measure using mutually unbiased bases quantifies this fundamental quantum feature.

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Area of Science:

Quantum Information Science
Quantum Foundations
Quantum Correlations

Background:

Quantum correlation is a key resource in quantum information.
Understanding the fundamental properties of quantum correlation is crucial.
Bipartite states are fundamental building blocks in quantum systems.

Purpose of the Study:

To demonstrate the universal presence of correlation in complementary bases for any non-product bipartite state.
To introduce a novel measure for quantifying this specific feature of quantum correlation.
To compare the proposed measure with existing quantum correlation measures.

Main Methods:

Theoretical analysis of bipartite quantum states.
Utilizing mutually unbiased bases (MUBs) to define a correlation measure.
Comparative analysis across various families of bipartite states.

Main Results:

Correlation in complementary bases is shown to exist in all non-product bipartite states.
A new measure based on mutually unbiased bases is proposed and analyzed.
The proposed measure's behavior is compared against established quantum correlation quantifiers.

Conclusions:

The feature of correlation in complementary bases is a universal characteristic of non-product bipartite quantum states.
The proposed mutually unbiased bases measure offers a new perspective on quantifying quantum correlations.
This work contributes to a deeper understanding of the structure and quantification of quantum correlations.