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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Nonlinear entanglement and its application to generating cat States.

Y Shen^1,2,3, S M Assad², N B Grosse²

¹College of Precision Instrument and Optoelectronics Engineering, Key Laboratory of Optoelectronics Information Technology of Ministry of Education, Tianjin University, Tianjin 300072, China.

Physical Review Letters

|March 28, 2015

Summary

We introduce nonlinear entanglement, extending the Einstein-Podolsky-Rosen paradox beyond linear correlations. This quantum entanglement allows tunable cat states in driven harmonic oscillators, advancing quantum information science.

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Area of Science:

Quantum Mechanics
Quantum Information Science
Nonlinear Dynamics

Background:

The Einstein-Podolsky-Rosen (EPR) paradox, initially proposed to challenge quantum mechanics' completeness, is now a key resource in quantum information.
EPR entanglement quantifies linear correlations between quantum systems relative to the Heisenberg uncertainty limit.

Purpose of the Study:

To extend the concept of entanglement to include nonlinear correlations.
To investigate nonlinear entanglement in driven harmonic oscillators.

Main Methods:

Coupling two driven harmonic oscillators via a third-order nonlinearity.
Analyzing the system's behavior to identify nonlinear entanglement.
Performing projective measurements on one oscillator to observe effects on the other.

Main Results:

Demonstrated quadratic-like nonlinear entanglement in the coupled oscillator system.
Observed that a projective measurement on one oscillator collapses the other into a cat state.
Showcased the ability to tune the size of the resulting cat state.

Conclusions:

Nonlinear correlations can be a valuable resource for quantum entanglement.
This approach offers a novel method for generating tunable cat states.
The findings expand the utility of the EPR paradox in quantum information processing.