Signal transmission and parameter measurement in quantum bits interacting with a single-mode radiation field
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Signal transmission and parameter measurement in quantum bits interacting with a single‑mode radiation field Ling Lü1 · Cunming Zou1 · Chengren Li2 · Ying Li2 · Yuqing Xu2 Received: 15 February 2020 / Accepted: 27 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Quantum systems can display the quantum chaos characteristics under non-rotating wave approximation. Because of the complex multi-body effect, the inevitability of coupling with the environment and the existence of uncertainty relation, some parameters in quantum system are often uncertain. In order to determine the properties of quantum system, we need to accurately measure any parameters in the system. In this work, we first analyse the characteristics of quantum bits interacting with a single-mode radiation field. On this basis, we design a unique technique to accurately measure the uncertain parameter in the quantum bits. Finally, we complete the synchronization transmission of signal in quantum bits based on the sliding mode control technology. Keywords Quantum bit · Uncertain parameter · Measurement · Synchronization transmission
1 Introduction Nonlinear effects in quantum system are currently the focus and frontier of quantum theory. Modern researches have shown that many quantum systems, such as optomechanical system and quantum bits interacting with a single-mode radiation field, exhibit periodic oscillation or even chaos after instability (Zhang et al. 2010a; Larson and Horsdal 2011; Graß et al. 2013; Li et al. 2016, 2017a). These new effects have injected new vitality into the field of quantum information research. In recent years, with the development of quantum information science, people try to use the concept of quantum information to deal with the nonlinear effects in quantum system, and have achieved fruitful results. At the same time, people begin to pay attention to the control of these nonlinear effects in quantum system and the synchronization transmission of quantum information, which are of great practical value. Although for the classical * Ling Lü [email protected] 1
Dalian University of Science and Technology, Dalian 116052, China
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Liaoning Normal University, Dalian 116029, China
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system, information synchronization transmission technologies, such as complete synchronization (Arellano-Delgado et al. 2018; Tumulty et al. 2020; Harrison et al. 2020), phase synchronization (Skardal et al. 2015; Dörfler and Bullo 2014), projective synchronization (Al-Mahbashi et al. 2014; Lü et al. 2017) and cluster synchronization (Jalan et al. 2015; Siddique et al. 2018), etc. are relatively mature, many effective synchronization strategies have been proposed, including the master stability functions (MSF) criterion (Pecora and Carroll 1998), connection graph method (Belykh et al. 2004), adaptive control (Zhou et al. 2020; Selivanov et al. 2015), pinning technique (Dharani et al. 2017; Rakkiyappan and Sakthivel 2015), impulsive control (
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