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Quantum Nonlocality of Arbitrary Dimensional Bipartite States
Ming Li1,2, Tinggui Zhang3,2, Bobo Hua4,2
1College of the Science, China University of Petroleum, Qingdao 266580, P. R. China.
Scientific Reports
|August 26, 2015
Summary
This study introduces a new method to detect quantum nonlocality in bipartite quantum states. The derived lower bound offers a more effective way to identify non-local quantum states than existing inequalities.
Area of Science:
- Quantum Information Theory
- Foundations of Quantum Mechanics
- Quantum Entanglement and Nonlocality
Background:
- Quantum nonlocality is a fundamental feature of quantum mechanics, challenging classical intuition.
- Local hidden variable models attempt to explain quantum correlations classically but are often violated.
- Bell inequalities, such as the CHSH inequality, provide tests for quantum nonlocality.
Purpose of the Study:
- To develop a general method for quantifying and detecting nonlocality in arbitrary dimensional bipartite quantum states.
- To derive an analytical and computable lower bound for the nonlocality of two-qubit states.
- To generalize these findings to high-dimensional quantum systems.
Main Methods:
- Computation of the maximal violation of a set of multi-setting Bell inequalities.
- Derivation of an analytical lower bound for general two-qubit states.
- Generalization of the method to arbitrary dimensional bipartite quantum states.
Main Results:
- An analytical and computable lower bound for the nonlocality of general two-qubit states was derived.
- This lower bound serves as a necessary condition for a two-qubit state to admit no local hidden variable models.
- The derived bound demonstrates superior performance over the CHSH inequality in identifying nonlocality for certain quantum states.
- A sufficient condition for detecting nonlocality in high-dimensional quantum states was presented.
Conclusions:
- The study provides a robust framework for assessing quantum nonlocality in both two-qubit and high-dimensional systems.
- The newly derived lower bound offers a more sensitive tool for identifying non-local quantum states.
- These findings contribute to a deeper understanding of quantum correlations and their potential applications in quantum information processing.
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