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Updated: Nov 27, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

Nonclassicality by Local Gaussian Unitary Operations for Gaussian States.

Yangyang Wang¹, Xiaofei Qi^1,2, Jinchuan Hou^1,3

¹Department of Mathematics, Shanxi University, Taiyuan 030006, China.

Entropy (Basel, Switzerland)

|December 3, 2020

Summary

This summary is machine-generated.

A new measure of nonclassicality (N) quantifies quantum correlations in Gaussian states. This measure is faithful, always less than 1, and helps establish entanglement criteria for quantum information processing.

Keywords:

Gaussian states Gaussian unitary operations continuous-variable systems quantum correlations

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Area of Science:

Quantum Information Science
Quantum Optics
Quantum Many-Body Systems

Background:

Characterizing quantum correlations is crucial for quantum information processing.
Existing measures may not fully capture the nuances of quantum correlations in Gaussian states.

Purpose of the Study:

Introduce a novel measure of nonclassicality (N) for bipartite Gaussian states.
Develop a faithful and computable measure of quantum correlations.

Main Methods:

Defined nonclassicality (N) using local Gaussian unitary operations.
Derived an explicit formula for N in (1+1)-mode Gaussian states.
Provided an estimate for N in (n+m)-mode Gaussian states.

Main Results:

Established N as a faithful quantum correlation measure for Gaussian states, ranging from 0 to 1.
Demonstrated that N is present in all non-product Gaussian states.
Developed a criterion for entanglement based on the measure N.
Compared N with other quantum correlation measures like entanglement, Gaussian discord, and Gaussian geometric discord.

Conclusions:

The introduced measure N provides a robust tool for quantifying quantum correlations in Gaussian states.
N offers a new perspective on entanglement detection and characterization.
This work contributes to a deeper understanding of quantum correlations in continuous-variable systems.