Harmonic driving and dynamic transitions in the Landau–Zener–Stückelberg–Majorana interferometry induced by tunneling flux-driven symmetric transmon qubits

Q1 Physics and Astronomy
S.L. Dongmo Tedo , O.C. Feulefack , J.E. Danga , S.E. Mkam Tchouobiap , R.M. Keumo Tsiaze , A.J. Fotue , M.N. Hounkonnou , L.C. Fai
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引用次数: 0

Abstract

In this study, Landau–Zener–Stückelberg–Majorana (LZSM) dynamics of tunneling transmon quantum bits (qubits) and related interference effects (interferometry) in symmetrical Josephson junctions (JJs) are theoretically investigated. Accordingly, the deviation of the driving parameters from the symmetry point and the transmon frequency are introduced, leading to fluctuations of a superconducting gap that limit the computational power of state-of-the-art transmon qubits and micro-processors. Indeed, the theoretical approach is carried withing the framework of the dynamic matrix approach (DMA) and numerical experiment measurements are reported after both single and double passages through a complexity of the transmon qubit polarization energy. Therefore, we derive generalized analytical expressions of LZSM quantum tunneling probabilities (QTP) and energy eigenvalues for multiple passages processes, which allow us to efficiently establish the transmon frequency and determine the driving parameters. Our theoretical results seem relevant for the interpretation of several LZSM interferometry mechanisms in the modulation of superconducting gap through different transmon qubit spectroscopy experiments in which tunable LZSM transitions and quantum interference patterns are demonstrated by the use of universal nonadiabatic control to implement quantum emulations. Additionally, this mapping enables the investigation of JJ effects through the identification of the corresponding modulated topological phases accumulated during the LZSM transitions, which offer new opportunities to coherently manipulate qubit states and address the energy transfer of transmon qubits on the one hand. On the other hand, it suggests possibilities to reduce sensitivity and to suspected sources of imperfection from different superconducting qubit architectures, particularly in the context of materials optimization strategies that dig out nontrivial phenomena possessing powerful quantum interferometer functionality with realistic quantum controls of tunneling transmon qubit states.
隧道磁通驱动对称transmon量子比特诱导landau - zener - st ckelberg - majorana干涉测量中的谐波驱动和动态跃迁
在本研究中,从理论上研究了对称Josephson结(JJs)中隧穿transmon量子比特(qubits)的landau - zener - st ckelberg - majorana (LZSM)动力学和相关的干涉效应(干涉测量)。因此,引入了驱动参数与对称点和transmon频率的偏差,导致超导间隙的波动,限制了最先进的transmon量子位和微处理器的计算能力。事实上,理论方法是在动态矩阵方法(DMA)的框架内进行的,并且在单次和双次通过transmon量子比特极化能量的复杂性后,报告了数值实验测量。因此,我们推导了LZSM多通道过程的量子隧穿概率(QTP)和能量特征值的广义解析表达式,使我们能够有效地建立transmon频率和确定驱动参数。我们的理论结果似乎与解释几种LZSM干涉测量机制有关,通过不同的transmon量子比特光谱实验,通过使用通用非绝热控制来实现量子模拟,证明了可调谐的LZSM跃迁和量子干涉模式。此外,这种映射可以通过识别LZSM跃迁过程中积累的相应调制拓扑相位来研究JJ效应,这一方面为相干操纵量子比特状态和解决transmon量子比特的能量转移提供了新的机会。另一方面,它提出了降低灵敏度的可能性,并从不同的超导量子比特体系结构中发现可疑的缺陷来源,特别是在材料优化策略的背景下,挖掘出具有强大量子干涉仪功能的非平凡现象,并具有隧道传输量子比特状态的现实量子控制。
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来源期刊
Reviews in Physics
Reviews in Physics Physics and Astronomy-Physics and Astronomy (all)
CiteScore
21.30
自引率
0.00%
发文量
8
审稿时长
98 days
期刊介绍: Reviews in Physics is a gold open access Journal, publishing review papers on topics in all areas of (applied) physics. The journal provides a platform for researchers who wish to summarize a field of physics research and share this work as widely as possible. The published papers provide an overview of the main developments on a particular topic, with an emphasis on recent developments, and sketch an outlook on future developments. The journal focuses on short review papers (max 15 pages) and these are freely available after publication. All submitted manuscripts are fully peer-reviewed and after acceptance a publication fee is charged to cover all editorial, production, and archiving costs.
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