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Updated: Nov 27, 2025
07:56
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Einstein-Podolsky-Rosen Steering Inequalities and Applications.
Ying Yang1,2, Huaixin Cao1
1School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
Einstein-Podolsky-Rosen (EPR) steering, a key quantum correlation, is explored. New inequalities are derived to check steerability in entangled states and define conditions for X-states.
Area of Science:
- Quantum Information Science
- Quantum Correlation Studies
- Foundations of Quantum Mechanics
Background:
- Einstein-Podolsky-Rosen (EPR) steering is a crucial quantum correlation in composite systems.
- It represents a form of nonlocality intermediate between entanglement and Bell nonlocality.
- Understanding EPR steering is vital for quantum information processing and fundamental physics.
Purpose of the Study:
- To introduce definitions and characterizations of EPR steering.
- To derive novel EPR steering inequalities.
- To investigate the steerability of specific quantum states, including maximally entangled and X-states.
Main Methods:
- Formal introduction of EPR steering definitions.
- Derivation of new mathematical inequalities to quantify EPR steering.
- Application of derived inequalities to analyze maximally entangled states.
- Analysis of conditions for steerability in X-states.
Main Results:
- New EPR steering inequalities have been successfully derived.
- The steerability of maximally entangled states was assessed using these inequalities.
- Specific conditions determining the steerability of X-states were obtained.
Conclusions:
- The derived EPR steering inequalities provide a tool for quantifying this quantum correlation.
- The study clarifies the steerability properties of important quantum states.
- This work contributes to the understanding of nonlocality in quantum mechanics.
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