Non-locality Correlation in Two Driven Qubits Inside an Open Coherent Cavity: Trace Norm Distance and Maximum Bell Function

A -B A Mohamed,H Eleuch,C H Raymond Ooi

doi:10.1038/s41598-019-55548-2

A -B A Mohamed, H Eleuch + Show 1 more

Open Access

https://doi.org/10.1038/s41598-019-55548-2

Copy DOI

Abstract

We analytically investigate two separated qubits inside an open cavity field. The cavity is initially prepared in a superposition coherent state. The non-locality correlations [including trace norm measurement induced non-locality, maximal Bell-correlation, and concurrence entanglement] of the two qubits are explored. It is shown that, the generated non-locality correlations crucially depend on the decay and the initial coherence intensity of the cavity field. The enhancement of the initial coherence intensity and its superposition leads to increasing the generated non-locality correlations. The phenomena of sudden birth and death entanglement are found.

Highlights

The dissipation eradicates the useful quantum coherence and correlations[17,18]
There is a growing interest in the dynamics of non-local correlations (NLCs) beyond the quantum entanglement (QE)[21], which is a unique type that has a major role in quantum processing[22]
New types of NLCs were introduced beyond QE24 as: measurement-induced disturbance[25], quantum discord[26], and that was determined by using p-norms such as; the Hilbert-Schmidt norm, Schatten one-norm and Bures norm

Summary

Distance and Maximum Bell

We analytically investigate two separated qubits inside an open cavity field. The cavity is initially prepared in a superposition coherent state. The generated non-locality correlations crucially depend on the decay and the initial coherence intensity of the cavity field. Due to analytic difficulty to the quantum discord, the geometric correlations appeared via geometric quantum discord (GQD) and the measurement-induced nonlocality (MIN)[27] were proposed by using the 2-norm[28]. These measurements that are based on 2-norm have been proved to be incompetent measures of NLC29. Despite the complexity of the suggested model, it is significant to introduce an analytical description of two optically driven qubits inside an open cavity, that is initially prepared in a coherent state.

The Physical Model

NLC Dynamics

Conclusion

Additional information