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

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Local Information as an Essential Factor for Quantum Entanglement.

Zhaofeng Su^1,2

¹LINKE Lab, School of Computer Science and Technology, University of Science and Technology of China, Hefei 230027, China.

Entropy (Basel, Switzerland)

|July 2, 2021

Summary

Local parameters significantly influence quantum entanglement in two-qubit systems. Varying these parameters can alter a state

Keywords:

geometric parameters quantum entanglement two-qubit system

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Area of Science:

Quantum Information Science
Quantum Mechanics
Quantum Computing

Background:

Quantum entanglement is a key resource in quantum information processing.
Geometric parameters, including local and correlation parameters, offer insights into entanglement.
The impact of local parameters on entanglement remains underexplored.

Purpose of the Study:

To investigate the quantitative and qualitative effects of local parameters on two-qubit quantum entanglement.
To explore the relationship between local parameters, concurrence, and separability conditions.

Main Methods:

Analysis of a general two-qubit system.
Derivation of bounds for concurrence based on local parameters and correlation matrices.
Development of a sufficient condition for separability using local parameters.

Main Results:

Concurrence is bounded by the norms of local vectors and the correlation matrix.
A sufficient condition for separability is established in terms of local parameters.
Local parameters can render a state with fixed correlations separable, entangled, or highly entangled.

Conclusions:

Local parameters play a crucial role in determining the entanglement properties of two-qubit states.
Understanding local parameters is essential for controlling and utilizing quantum entanglement.
The study provides new perspectives on entanglement manipulation through local parameter adjustments.