Correlated spectrum of distant semiconductor qubits coupled by microwave photons

Wang, Bao‐Chuan; Lin, Tie; Li, Haiou; Gu, Sheng‐Yang; Mingbo, Chen; Guo, Guang-Can; Jiang, Hong-Wen; Hu, Xuedong; Cao, Gang

doi:10.1016/j.scib.2020.10.005

Cited by 26 publications

(22 citation statements)

References 57 publications

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“…In subsection III-C, we will show that T [s] also reflects the vacuum Rabi mode splitting of the Tavis-Cummings system (5). Hence, T [s] bridges the passivity of the linear quantum system (10) and the vacuum Rabi mode splitting phenomenon exhibited by the Tavis-Cummings system (5).…”

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

“…Thus, by the positive real lemma in [33, Theorem 3], the system (10) with the performance variable z is passive. In subsection III-C, we will show that T [s] also reflects the vacuum Rabi mode splitting of the Tavis-Cummings system (5).…”

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

“…In the following, we perform structural decomposition to the linear quantum system (10). Partition ω 1 , .…”

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

“…, ω N into groups as described above. There is an orthonormal matrix T that transforms the linear quantum system (10) with system matrices ( Ã, B, C) to another one Σ with system matrices…”

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

“…The model proposed in [2] is called the Tavis-Cummings model in the subsequent literature. The Tavis-Cummings model has been physically realized by quite a few experimental platforms, including superconducting circuits [3]- [6], NV spin ensembles [7], and double quantum dots [8]- [10]. In the Tavis-Cummings model consisting of N two-level systems equally coupled to a cavity resonator, under certain conditions the collective coupling strength of the ensemble exhibits a √ N -scaling, which can be experimentally observed from the vacuum Rabi mode splitting of the resonator transmission spectrum of the bright states.…”

mentioning

confidence: 99%

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On the Dynamics of the Tavis-Cummings Model

Dong,

Zhang,

et al. 2021

Preprint

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The purpose of this paper is to present a comprehensive study of the Tavis-Cummings model from a systemtheoretic perspective. A typical form of the Tavis-Cummings model is composed of an ensemble of non-interacting two-level systems that are all coupled to a common cavity resonator. A Tavis-Cummings system exhibits superradiance phenomenon, for example an ensemble of N two-level atoms act collectively as a giant atom which decays N times as fast as an individual atom. An associated quantum linear passive system is proposed, whose canonical form reveals typical features of the Tavis-Cummings model, including √N -scaling, dark states, bright states, singleexcitation superradiant and subradiant states. The passivity of this linear system is related to the vacuum Rabi mode splitting phenomenon in a Tavis-Cummings system. On the basis of the linear model, an analytic form is presented for the steady-state output single-photon state of the Tavis-Cummings model driven by a single-photon state. Master equations are used to study the excitation properties of the Tavis-Cummings model in the multi-excitation scenario.Finally, in terms of the transition matrix for a linear time-varying system, a computational framework is proposed for calculating the state of the Tavis-Cummings model, which is applicable to the multi-excitation case.

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Section: B the Corresponding Linear Modelmentioning

confidence: 99%

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

“…In the following, we perform structural decomposition to the linear quantum system (10). Partition ω 1 , .…”

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

Section: B the Corresponding Linear Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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On the Dynamics of the Tavis-Cummings Model

Dong,

Zhang,

et al. 2021

Preprint

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Implementation of Geometric Quantum Gates on Microwave‐Driven Semiconductor Charge Qubits

et al. 2021

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A semiconductor‐based charge qubit, confined in double quantum dots, can be a platform to implement quantum computing. However, it suffers severely from charge noises. Here, a theoretical framework to implement universal geometric quantum gates in this system is provided. It is found that, while the detuning noise can be suppressed by operating near its corresponding sweet spot, the tunneling noise, on the other hand, is amplified and becomes the dominant source of error for single‐qubit gates, a fact previously insufficiently appreciated. It is demonstrated, through numerical simulation, that the geometric gates outperform the dynamical gates across a wide range of tunneling noise levels, making them particularly suitable to be implemented in conjunction with microwave driving. To obtain a nontrivial two‐qubit gate, a hybrid system is introduced with charge qubits coupled by a superconducting resonator. When each charge qubit is in resonance with the resonator, it is possible to construct an entangling geometric gate with fidelity higher than that of the dynamical gate for experimentally relevant noise levels. Therefore, the results suggest that geometric quantum gates are powerful tools to achieve high‐fidelity manipulation for the charge qubit.

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Characterization of a Triple Quantum Dot via an On‐chip Microwave Resonator

Wang

Mingbo

et al. 2021

Adv Quantum Tech

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The hybrid circuit quantum electrodynamics architecture integrated quantum dots with a microwave resonator results in the creation of a controllable artificial system and enriches its physics through electron-photon interaction. In this study, a hybrid device is investigated, wherein a triple quantum dot (TQD) is dipole coupled with electric field of a superconducting quantum interference device array resonator. The quantum cellular automata (QCA) process of TQD, related to charge reconfiguration as a result of Coulomb interaction between each dot, is observed by probing reflectance of the resonator. The suppressed cavity reflectance signal of the QCA process may experimentally provide the evidence for the different measurement mechanism of the cavity from external electrometers like quantum point contact. Furthermore, on careful tuning of multiple energy level differences of the TQD to match the cavity photon frequency, four tunneling processes assisted by the absorption of the cavity photons occur simultaneously, contributing to "photon-assisted" quadruple point. Consequently, these two specific phenomena are found to be closely dependent on the relationship between the various Coulomb energy in TQD and the cavity photon energy. The results are consistent with the theoretical model presented and imply that this hybrid system has the potential for investigating exotic many-body effects and matter-light interaction.

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Correlated spectrum of distant semiconductor qubits coupled by microwave photons

Cited by 26 publications

References 57 publications

On the Dynamics of the Tavis-Cummings Model

On the Dynamics of the Tavis-Cummings Model

Implementation of Geometric Quantum Gates on Microwave‐Driven Semiconductor Charge Qubits

Characterization of a Triple Quantum Dot via an On‐chip Microwave Resonator

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