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Related Experiment Video

Updated: Oct 18, 2025

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

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

Published on: May 30, 2014

A Computable Gaussian Quantum Correlation for Continuous-Variable Systems.

Liang Liu¹, Jinchuan Hou¹, Xiaofei Qi^2,3

¹College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.

Entropy (Basel, Switzerland)

|September 28, 2021

Summary

This summary is machine-generated.

A new computable Gaussian quantum correlation (M) is introduced, simplifying the analysis of quantum correlations in continuous-variable systems. This method is easily calculated and applicable to intracellular temperature detection.

Keywords:

Gaussian channels Gaussian geometric discord Gaussian states continuous-variable systems

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Area of Science:

Quantum Information Theory
Quantum Optics
Statistical Mechanics

Background:

Calculating Gaussian quantum discord and geometric discord for Gaussian states is computationally challenging.
Existing methods often require complex measurements or optimization procedures, limiting practical applications.

Purpose of the Study:

To propose a new, easily computable measure of Gaussian quantum correlation, denoted as M.
To demonstrate that M is a reliable indicator of quantum correlations for Gaussian states, equivalent to existing measures.

Main Methods:

Introduced a novel correlation measure M for (n+m)-mode continuous-variable systems.
M is derived solely from the covariant matrix of the quantum state, avoiding measurements and optimization.
Properties of M were analyzed, including its independence from state means, symmetry, and invariance under local Gaussian unitary operations.

Main Results:

The proposed correlation measure M is easily computable from the covariant matrix of any state.
M exhibits desirable properties, including symmetry, no ancilla problem, and local Gaussian unitary invariance.
M equals zero if and only if the Gaussian state is a product state, and it is non-increasing under local Gaussian channels.
M accurately quantifies Gaussian quantum correlations for Gaussian states.

Conclusions:

The developed correlation measure M offers a computationally efficient alternative to existing methods for quantifying Gaussian quantum correlations.
M provides a robust tool for analyzing quantum correlations in continuous-variable systems.
An application of M in developing a noninvasive quantum method for intracellular temperature sensing is proposed.