Quantum computing has advantages over conventional computing in performing algorithms such as factorization and search. Quantum processors, as a tool for quantum computing, are computing units that consist of qubits as basic elements. There are different approaches toward the implementation of the qubits. The most renowned and applicable of these implementations is based on superconducting qubits. Among various types of superconducting qubits, charge qubits in form of transmons are chosen in this work because of their straightforward fabrication methods and better interfacing and scalability. In this paper, utilizing EPR (Energy Participation Ratio) method, one of the main transmon structures made of High Tcsuperconductor materials, are designed and simulated. Additionally, the effects of some geometry-based parameters of the qubit structure on qubit characteristics such as frequency and anharmonicity are explored. Moreover, the single transmon qubit structure with High Tcsuperconductor transmission lines as readout and control sections are designed and simulated. In addition, due to the Purcell effect, the Purcell filter is added to the designed single qubit structure to reduce the spontaneous emission of the qubit. The results of our simulations are compared with that of the conventional superconductor based transmons.
Quantum computing has advantages over conventional computing in performing algorithms such as factorization and search. Quantum processors, as a tool for quantum computing, are computing units that consist of qubits as basic elements. There are different approaches toward the implementation of the qubits. The most renowned and applicable of these implementations is based on superconducting qubits. Among various types of superconducting qubits, charge qubits in form of transmons are chosen in this work because of their straightforward fabrication methods and better interfacing and scalability. In this paper, utilizing EPR (Energy Participation Ratio) method, one of the main transmon structures made of High Tcsuperconductor materials, are designed and simulated. Additionally, the effects of some geometry-based parameters of the qubit structure on qubit characteristics such as frequency and anharmonicity are explored. Moreover, the single transmon qubit structure with High Tcsuperconductor transmission lines as readout and control sections are designed and simulated. In addition, due to the Purcell effect, the Purcell filter is added to the designed single qubit structure to reduce the spontaneous emission of the qubit. The results of our simulations are compared with that of the conventional superconductor based transmons.
Superconducting quantum computing is a solid state quantum computing technology based on Josephson junction circuits. It becomes one of the most promising candidates for realizing practical quantum computer/simulator, because of its scalability, easy to coupling and control, compatibility to semiconductor technologies, etc. As the complicated electromagnetic environment in solid state metal and insulator, superconducting quantum bits (qubits) suffered from shot coherence time since its early development. In this review, we described some recently developed superconducting qubit structures, including Transmon/Xmon, Fluxonium and C-shunt flux qubit. Although these new qubit structures have very different circuit parameters and energy scales, they all find their way to effectively suppress environmental noises. As a result, their coherence time were improved significantly. Transmon, a transmission-line shunted plasma oscillation qubit, was now among the most popular structures for building a multi-qubit superconducting quantum circuit. It introduced a relatively large shunt capacitor to remarkably reduce the charge dispersion. Although the non-linearity is also decreased, by operating in a properly chosen EJ/Ec, transmon can greatly reduce the charge noise while only sacrificing a small amount of non-linearity. Xmon can be considered as a modified version of transmon. It is designed and optimized for multi-qubit operation and measurement with separate X/Y and Z control lines for each qubit, and a readout bus (a transmission line or a low-Q bandpass filter) for simultaneous readout of all the qubits. Fluxonium provide another solution for suppressing the charge noise in Cooper-pair box (CPB). It introduces a large shunt inductance to filter low-frequency offset charge in the small capacitor of the phase-slip junction (the small junction). To keep the qubit operating in the charge region, the shunt inductor should be large enough to keep the impedance larger than the superconducting impedance quantum RQ~1 kΩ. As a result, the inductance can only be provided by a large series of Josephson junctions. Fluxonium keeps the advantage of high anharmonicity of CPB. In addition, it introduces another degree of freedom: external flux Φext. Quasiparticles (electrons or holes) tunneling at the small junction add coherently to produce a ″1+cosφ″ term. As a result, when Φext= Φ0/2, dissipation caused by quasiparticle tunneling is suppressed and the energy relaxation time (T1) increases drastically. C-shunt flux qubit (CSFQ) decreases α and EJ to suppress flux noise in the qubit. While the charge noise becomes the dominant noise source, a large shunt capacitor is added to suppress the charge noise, similar to that in a transmon qubit. It is worth to notice that in CSFQ, the α decreases to below but near 1/2. As a result, the double-well potential no longer exists. The energy structure become similar to transmon, with the anharmonicity be opposite. CSFQ can get a much improved coherence time, while its anharmonicity can be larger than that of transmon. Those new superconducting qubit structures provide different solutions to improve the coherence time. Although it looks much different in circuit models and parameters, they have ideas in common, and may act as guides to other novel designs with longer coherence time. We can summarize as below. (1) The qubit circuit should be free of small superconducting islands. Charge fluctuation in small islands is a major source of decoherence. As a result, increase the area of the islands, that is, increase the capacitance becomes a straight forward way to suppress the charge noise. In Fluxonium, the small junction is connected with a large series of large junctions that there is also no small islands in the whole loop. (2) Remove superconducting loops in the qubit circuit, or minimize the loop size and loop current to suppress flux noise. (3) Bias the phase difference of the small junction to π, where dissipation caused by quasiparticle tunneling can be suppressed coherently. (4) Decrease the coupling bandwidth of qubit to the environment. In a circuit-QED readout scheme, a high-Q readout resonator that dispersively coupled to the qubit protects the qubit from exposed to the electromagnetic environment of the readout circuit. A ″Purcell filter″ can also be added to suppress such decoherence further. In conclusion, we overviewed some qubit engineering techniques or ideas to improve the coherence time, which is a very important figure for building practical quantum computer/simulator. We hope that someone can combine and optimize these ideas, while interact with developments in materials and micro-fabrication technologies, to develop novel new generation superconducting qubit structures in the near future.
Abstract The past half century has witnessed the rapid development of integrated circuits from several to billions of electronic components, where a crucial enabling method was the electronic computer-aided design. Similarly, simulations of the quantum electrocircuits will play a key role in designing advanced quantum computers. While these simulations could be done classically on a small scale, the resources required for the classical simulations will grow exponentially with the complexity of the strongly-correlated quantum hardwares. Here, we demonstrate quantum computer-aided design of a new high-performance superconducting qubit based on variational quantum simulations. The discovered new qubits intrinsically have important features superior to the widely used transmons qubits, because the new design eliminates the charge noise but without sacrificing anharmonicity and thus has a larger anharmonicity than the transmons. The new qubit - which we call “plasmonium” - is compatible with the control technologies in the transmon, exhibits long coherence time, and can bring in a number of practical advantages, including shrinking physical sizes, improving gate and readout fidelity, reducing state leakage, and alleviating frequency crowding in multi-qubit devices.
In a quantum computer, the information carriers, which are bits in ordinary computers, are implemented as devices that exhibit coherent superpositions of physical states and entanglement. Such components, known as quantum bits or qubits, can be realized with various different types of two-state quantum systems. Quantum computers will be built for computational speed, with hoped for applications especially in cryptography and in other tasks where classical computers remain inefficient. Circuit quantum electrodynamics (cQED) is a quantum-computer architecture which employs superconducting electronic components and microwave photon fields as building blocks. Compared to cavity quantum electrodynamics (CQED), where atoms are trapped in physical cavities, cQED is more attractive in that its qubits are tunable and conveniently integrable with the electronics already in use. This architecture has shown some of the most promising qubit designs, despite their coherence times reaching tens of microseconds, are still below the state of the art with spin qubits, which reach milliseconds. Coherence times are historically the most relevant parameters describing the fitness of a qubit, although these days not necessarily the limiting factor. This thesis presents a comprehensive set of theoretical and experimental methods for measuring the characteristic parameters of superconducting qubits. We especially study transmission-line-shunted plasma oscillation qubits, or transmons, and presents experimental results for a single sample. Transmon capacitively couples a superconducting quantum interference device (SQUID) with a coplanar waveguide (CPW) resonator, often with added frequency tunability utilizing an external magnet. The number of superconducting charge carriers tunnelled through a junction in the SQUID are used as qubit degrees of freedom. Readout of the qubit state is carried out by measuring transmission through the CPW. A cryogenic setup is employed with measurement and driving pulses delivered from microwave sources. Steady-state spectroscopy is employed to determine the resonance frequencies of the qubit and the resonator, qubit-resonator coupling constants, and the energy parameters of the qubit. Pulse-modulated measurements are employed to determine the coherence times of the qubit. The related analysis- and simulation programs and scripts are collected togithub.com/patomaki.
Scalable superconducting qubit architectures demand qubits with long coherence times—a critical prerequisite for developing practical quantum computers. To achieve a compact circuit footprint, we have designed a superconducting qubit featuring a meander-structured coplanar waveguide capacitor, termed the “Smon.” Numerical simulations of the electric field distribution demonstrate that the Smon exhibits a significantly lower energy participation ratio (EPR) than both Xmon qubits and conventional rectangular planar transmon qubits. For an in situ comparison between Smons and conventional rectangular planar transmons, we propose a two-dimensional (2D) hybrid qubit array test structure. The capacitor electrodes of the devices are fabricated using tantalum. Measurements of the Smon’s coherence properties yield an energy relaxation time ( T 1 ) ranging from 30 to 359 µs and a dephasing time ( T 2 ) between 18 and 20 µs. These results confirm that superconducting quantum circuits with enhanced integration density and long coherence times are experimentally feasible, thereby offering a viable pathway toward high-performance large-scale superconducting quantum computers.
The transmon, which has a short gate time and remarkable scalability, is the most commonly utilized superconducting qubit, based on the Cooper pair box as a qubit or coupler in superconducting quantum computers. Lattice and heavy-hexagon structures are well-known large-scale configurations for transmon-based quantum computers that classical computers cannot simulate. These structures share a common feature: a resonator coupler that connects two transmon qubits. Although significant progress has been made in implementing quantum error correction and quantum computing using quantum error mitigation, fault-tolerant quantum computing remains unachieved due to the inherent vulnerability of these structures. This raises the question of whether the transmon-resonator-transmon structure is the best option for constructing a transmon-based quantum computer. To address this, we demonstrate that the average fidelity of CNOT gates can exceed 0.98 in a structure where a resonator coupler mediates the coupling of three transmon qubits. This result suggests that our novel structure could be a key method for increasing the number of connections among qubits while preserving gate performance in a transmon-based quantum computer.
We report our development on design, fabrication and characterization of various superconducting resonators for quantum device applications. The resonators are developed mainly for superconducting qubit implementation in circuit QED structure, but future application will include photon detectors such as microwave kinetic inductance detectors. First we designed and fabricated half-wavelength coplanar waveguide resonators with niobium thin film on a high resistive silicon wafer, with the fundamental frequencies in the range of 1 to 8 GHz. The loaded quality factors are controlled by the coupling capacitors, and the lower bound of the intrinsic quality factor was measured down to 7 mK in the dilution refrigerator. We have also designed quarter-wavelength resonators and lumped LC resonators coupled to a transmission line, and characterized multiple resonators in a single transmission line. For the 3D transmon qubit application, we designed and fabricated a rectangular box resonator with superconducting aluminum. The intrinsic quality factor of the box resonator exceeds three million at 7 mK. We will also present basic results on the integration of a transmon qubit in the superconducting resonator.