Proposed test of quantum nonlocality for continuous variables

Area of Science:

• Quantum Physics
• Quantum Information Science
• Quantum Optics

Background:

• Quantum nonlocality is a fundamental property of quantum mechanics, challenging classical intuition.
• Previous tests of nonlocality often focused on discrete variables, limiting applications.
• Continuous-variable (CV) systems offer unique advantages for quantum information processing and fundamental tests.

Purpose of the Study:

• To propose and experimentally validate a novel test for quantum nonlocality in continuous-variable systems.
• To utilize a two-mode squeezed state as a resource for generating strong nonlocal correlations.
• To investigate the violation of Bell inequalities using conditional homodyne detection measurements.

Main Methods:

• Generation of a two-mode squeezed state, a key resource for quantum correlations.
• Implementation of a measurement scheme employing conditional homodyne detection.
• Construction and analysis of the Clauser-Horne-Shimony-Holt (CHSH) and Clauser-Horne (CH) inequalities using the acquired data.

Main Results:

• Demonstrated violation of both the CHSH and CH inequalities for a squeezing parameter (r) greater than approximately 0.48.
• Conditional homodyne detection data successfully used to establish nonlocal correlations.
• The proposed test provides a robust method for verifying quantum nonlocality in CV systems.

Conclusions:

• The study successfully establishes a practical test for continuous-variable quantum nonlocality.
• The results confirm the potential of two-mode squeezed states and conditional homodyne detection for probing fundamental quantum phenomena.
• This work contributes to the understanding and application of quantum nonlocality in advanced quantum technologies.