The uncertainty and quantum correlation of measurement in double quantum-dot systems

Abstract

In this work, we study the entropic uncertainty and quantum discord in two double-quantum-dot (DQD) system coupled via a transmission line resonator (TLR). Explicitly, the dynamics of the systemic quantum correlation and measured uncertainty are analysed with respect to a general X-type state as the initial state. Interestingly, it is found that the different parameters, including the eigenvalue α of the coherent state, detuning amount δ, frequency ω and the coupling constant g, have subtle effects on the dynamics of the entropic uncertainty, such as the oscillation period of the uncertainty. It is clear to reveal that the quantum discord and the lower bound of the entropic uncertainty are anti-correlated when the initial state of the system is the Werner-type state, while quantum discord and the lower bound of the entropic uncertainty are not anti-correlated when the initial state of the system is the Bell-diagonal state. Thereby, we claim that the current investigation would provide an insight into the entropic uncertainty and quantum correlation in DQDs system, and are basically of importance to quantum precision measurement in practical quantum information processing.

Graphical abstract

Keywords

uncertainty relations / quantum correlation / quantum dot

References

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 12075001, 61601002 and 12175001, Anhui Provincial Key Research and Development Plan (Grant No. 2022b13020004), Anhui Provincial Natural Science Foundation (Grant No. 1508085QF139), University Innovation Fund of the Ministry of Education (Grant No. 2021BCA02003), and the fund from CAS Key Laboratory of Quantum Information (Grant No. KQI201701).

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