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    Strong Coupling of Spin Qubits to a Transmission Line Resonator
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    Abstract:
    We propose a mechanism for coupling spin qubits formed in double quantum dots to a superconducting transmission line resonator. Coupling the resonator to the gate controlling the interdot tunneling creates a strong spin qubit--resonator interaction with strength of tens of MHz. This mechanism allows operating the system at a point of degeneracy where dephasing is minimized. The transmission line can serve as a shuttle allowing for two-qubit operations, including fast generation of qubit-qubit entanglement and the implementation of a controlled-phase gate.
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    Line (geometry)
    Creation of a rotating wave field in a high-Q resonator usually requires the resonator to be tuned to compensate for manufacturing errors. The tuning of a rotating wave resonator is more complicated than that of a common resonator. A theory of tuning rotating wave resonators and a procedure for efficiently carrying out this tuning is presented in this paper, along with the authors’ experience in tuning a rotating TM110 mode in a 1.28 GHz microwave resonator.
    Helical resonator
    Dielectric resonator antenna
    Citations (1)
    The fused silica hemispherical resonator is the core component of hemispherical resonator gyroscopes. The vibrational characteristic of hemispherical resonator is a critical parameter, which affects the performance of hemispherical resonator gyroscopes. Recently, the quality factor of fused silica hemispherical resonator has exceeded 25 million due to optimizing the resonant structure, manufacturing processes and post-processing technology. At present, the quality factors of most fused silica hemispherical resonator have met the application requirements of high precision gyroscopes. It is urgent to study the frequency splitting, quality factor nonuniformity and anti-vibration performance of hemispherical resonator. In this paper, the influence of geometric error and structure on vibrational characteristics of hemispherical resonator is investigated. The vibrational characteristics of three hemispherical resonators with different structures are simulated. The influence of the first eight harmonic errors on the frequency splitting and quality factor nonuniformity of the resonator is investigated. Anchor loss and thermoelastic dissipation models are used to study the quality factor nonuniformity. The simulation results illustrate that the quality factor nonuniformity is primarily affected by the fourth and the second harmonic errors, and the frequency splitting is affected by the fourth harmonic error. Besides, the anti-vibration performance and thermal equilibrium time of resonators with different structures is studied by simulation. The simulation results illustrate that the resonator with thicker bottom brings a longer thermal equilibrium time after starting vibration and better anti-vibration performance.
    Q factor
    Helical resonator
    Harmonic
    Thermoelastic damping
    In this paper we demonstrate that quality factor (Q) and power handling, two inherently divergent characteristics of a resonator, can be improved simultaneously by designing high-order harmonic resonant structures anchored with multiple tethers. We show that in thin-film piezoelectric-on-substrate (TPoS) resonators, the quality factor is significantly altered by varying the thickness of the resonator, but the power handling of the resonator is often traded off for the higher Q. Quality factors measured from TPoS resonators fabricated on a 30 μm thick silicon substrate are up to 3 times higher than the values measured for devices on 20 μm thick substrate while maximum deliverable power (at the point of bifurcation) to the same device is reduced from 2.5 dBm to -0.3 dBm. In contrast, it is observed that the maximum deliverable power in a multi-tether ~1GHz resonator is enhanced by more than 5 dBm compared to an identical single-pair tethered resonator (7dBm versus 1.9dBm) and the quality factor is also increased by 55%.
    Q factor
    Helical resonator
    Harmonic
    Citations (16)
    Since power handling of superconducting resonators is severely limited by current density saturation, it is proposed to form resonators having their incident power and resulting currents divided within interior arrays of "basic resonators" (A properly designed array of basic resonators acts as a single resonator.) Though other forms of basic resonators may also be attractive, in this paper, in all examples, the basic resonator used is a "zig-zag resonator" having a fundamental resonance at f 0 . This type of resonator is attractive because it is relatively compact and tends to keep the energy confined to a region close to the surface of the substrate. This latter is important so that even if a large number of basic resonators are used, energy will not be radiating out to the normal-metal resonator housing, which would greatly lower the unloaded Q. The use of parallel and cascade connections of basic resonators are analyzed and are found to both yield an increase in power handling proportional to the number of basic resonators used. However, these two types of connections have different characteristics with regard to introducing spurious modes, and it is found that it will usually be desirable to use both types of connections within an array. A sizable number of computed explorative examples are presented containing as many as 64 zig-zags. Calculation of the current densities within the zig-zags shows them to be remarkably uniform throughout the arrays. Measured high-temperature superconductor resonator results are presented, which confirm the principles involved. Unloaded Q's measured at 77 K were consistently well above 100 000. This array technique should also be useful for some relatively high-power planar normal-metal filters.
    Citations (8)
    In order to reduce very long waves in a harbor, a combination of two large-sized resonators with different effective ranges of wave frequency is proposed. In order to understand basic properties of the combined resonators, wave transmission characteristic through an infinite array of the combined resonators was first examined theoretically. As an alternative of a rectangular resonator, a detached caisson-type resonator was also adopted to reduce the construction cost. Finally, in order to check the performance of the combined resonators for very long waves, wavesheltering effect by the resonator for a rectangular harbor model was theoretically examined for various wave period conditions, in which the combined resonators were installed at the harbor entrance.
    Caisson
    Citations (0)
    Micro Electro-Mechanical System (MEMS) mainly includes two parts, sensor and resonator. Micro resonators are widely applied in the radio frequency (RF) field for its high isolation and low loss. The principles of micro resonators are introduced firstly, including comb resonator, beam resonator, disk resonator, film bulk acoustic resonator (FBAR), cavity structure resonator, and surface acoustic wave resonator (SAW). The applications of micro resonators secondly are discussed, such as in the filter, duplex, sensor, mixer, and oscillator. The filter character of micro resonators is analyzed. The frequency range and Q value of micro resonators are discussed too. Function of frequency conversion, micro resonator work in different frequency bands, will be a new development direction of micro resonator, besides high frequency, high Q, and wide bandwidth. In this article, various patents have been discussed. Keywords: FBAR, micro resonator, Q value, resonant frequency, RF.
    Helical resonator
    Dielectric resonator antenna
    This paper proposes a new multiple folded-beam disk resonator whose thermoelastic quality factor is significantly improved by appropriately reducing the beam width and introducing integral-designed lumped masses. The quality factor of the fabricated resonator with (100) single crystal silicon reaches 710 k, proving to be a record in silicon disk resonators. Meanwhile, a small initial frequency split of the order-3 working modes endows the resonator with great potential for microelectromechanical systems (MEMS) gyroscopes application. Moreover, the experimental quality factor of resonators with different beam widths and relevant temperature experiment indicate that the dominating damping mechanism of the multiple folded-beam disk resonator is no longer thermoelastic damping.
    Thermoelastic damping
    Q factor
    Citations (5)
    In this report, the optomechanical transductions in both single and two side-coupled wheel resonators are investigated. In the single resonator, the optomechanical transduction sensitivity is determined by the optical and mechanical quality factors of the resonator. In the coupled resonators, the optomechanical transduction is related to the energy distribution in the two resonators, which is strongly dependent on the input detuning. Compared to a single resonator, the coupled resonators can still provide very sensitive optomechanical transduction even if the optical and mechanical quality factors of one resonator are degraded.
    Optomechanics
    Citations (2)
    Superconducting transmon qubits with fixed frequencies are widely used in many applications due to their advantages of better coherence and less control lines compared to the frequency tunable qubits. However, any uncontrolled interactions with the qubits such as the two-level systems could lead to adverse impacts, degrading the qubit coherence and inducing crosstalk. To mitigate the detrimental effect from uncontrolled interactions between qubits and defect modes in fixed-frequency transmon qubits, we propose and demonstrate an active approach using an off-resonance microwave drive to dress the qubit and to induce the ac-Stark shift on the qubit frequency. We show experimentally that the qubit frequency can be tuned well away from the defect mode so that the impact on qubit coherence is greatly reduced while maintaining the universal controls of the qubit initialization, readout, and single-qubit gate operations. Our approach provides an effective way for tuning the qubit frequency and suppressing the detrimental effect from the defect modes that happen to be located close to the qubit frequency.
    Transmon
    Coherence time