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We present a theory of a flux-tunable superconducting qubit, the "Fraunhofer qubit," based on the Fraunhofer interference in a wide ballistic Josephson junction. As magnetic flux threads the junction, the Josephson potential is effectively…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Longyu Ma , Tony Liu , Javad Shabani , Kasra Sardashti , Vladimir E. Manucharyan , Maxim G. Vavilov

Quantum optimal control theory is applied to two and three coupled Josephson charge qubits. It is shown that by using shaped pulses a CNOT gate can be obtained with a trace fidelity > 0.99999 for the two qubits, and even when including…

Constructing qubits which are suitable for quantum computation remains a notable challenge. Here, we propose a superconducting flux qubit in a dc SQUID structure, formed by a conventional insulator Josephson junction and a topological…

Superconductivity · Physics 2015-07-13 Wen-Chao Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

Superconducting flux qubits are a promising candidate for solid-state quantum computation. One of the reasons is that implementing a controlled coupling between the qubits appears to be relatively easy, if one uses tunable Josephson…

Superconductivity · Physics 2009-11-10 M. J. Storcz , F. K. Wilhelm

We propose an experimentally realizable method to control the coupling between two flux qubits. In our proposal, the bias fluxes are always fixed for these two inductively-coupled qubits. The detuning of these two qubits can be initially…

Superconductivity · Physics 2009-11-11 Yu-xi Liu , L. F. Wei , J. S. Tsai , Franco Nori

Building a quantum computer is a daunting challenge since it requires good control but also good isolation from the environment to minimize decoherence. It is therefore important to realize quantum gates efficiently, using as few operations…

Quantum Physics · Physics 2019-10-28 T. Bækkegaard , L. B. Kristensen , N. J. S. Loft , C. K. Andersen , D. Petrosyan , N. T. Zinner

In the design and investigation of superconducting qubits and related devices, a lumped element circuit model is the standard theoretical approach. However, many important physical questions lie beyond its scope, e.g. the behavior of…

Superconductivity · Physics 2023-04-05 Ari Mizel

We describe the coherent manipulation of harmonic oscillator and qubit modes using resonant trains of single flux quantum pulses in place of microwaves. We show that coherent rotations are obtained for pulse-to-pulse spacing equal to the…

Quantum Physics · Physics 2014-08-05 R. McDermott , M. G. Vavilov

An explicit algorithm for calculating the optimized Euler angles for both qubit state transfer and gate engineering given two arbitary fixed Hamiltonians is presented. It is shown how the algorithm enables us to efficiently implement single…

Quantum Physics · Physics 2009-12-03 K. Ch. Chatzisavvas , G. Chadzitaskos , C. Daskaloyannis , S. G. Schirmer

In this work, we study strategies for the optical control, within the dipole approximation, of a qubit encoded in the three-electron states of a triple quantum dot. The system is described by effective confining potentials, and its…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Diego S. Acosta Coden , Sergio S. Gomez , Rodolfo H. Romero , Omar Osenda , Alejandro Ferrón

Optimal control of two-qubit quantum systems attracts high interest due to applications ranging from two-qubit gate generation to optimization of receiver for transferring coherence matrices along spin chains. State preparation and…

Quantum Physics · Physics 2025-02-21 Oleg Morzhin , Alexander Pechen

A goal of quantum information technology is to control the quantum state of a system, including its preparation, manipulation, and measurement. However, scalability to many qubits and controlled connectivity between any selected qubits are…

Superconductivity · Physics 2009-11-10 J. Q. You , J. S. Tsai , Franco Nori

We consider a specific instance of a superconducting circuit, the so-called charge-qubit, consisting of a capacitor and a Josephson junction. Starting from the microscopic description of the latter in terms of two tunneling BCS models in…

Quantum Physics · Physics 2023-04-27 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer , F. Valiera

We show that two capacitively-coupled Josephson junctions, in the quantum limit, form a simple coupled qubit system with effective coupling controlled by the junction bias currents. We compute numerically the energy levels and wave…

Exploiting the intrinsic nonlinearity of superconducting Josephson junctions, we propose a scalable circuit with superconducting qubits (SCQs) which is very similar to the successful one now being used for trapped ions. The SCQs are coupled…

Superconductivity · Physics 2015-06-25 Yu-xi Liu , L. F. Wei , J. R. Johansson , J. S. Tsai , Franco Nori

Despite significant economic and ecological effects, a higher level of renewable energy generation leads to increased uncertainty and variability in power injections, thus compromising grid reliability. In order to improve power grid…

Optimization and Control · Mathematics 2021-11-24 Aleksander Lukashevich , Vyacheslav Gorchakov , Petr Vorobev , Deepjyoti Deka , Yury Maximov

We introduce a quadratically-constrained approximation (QCAC) of the AC optimal power flow (AC-OPF) problem. Unlike existing approximations like the DC-OPF, our model does not rely on typical assumptions such as high reactance-to-resistance…

Optimization and Control · Mathematics 2026-01-21 Gonzalo E. Constante-Flores , Can Li

We propose a qubit-qubit coupling scheme for superconducting flux quantum bits (qubits), where a quantized Josephson junction resonator and microwave irradiation are utilized. The junction is used as a tunable inductance controlled by…

Superconductivity · Physics 2009-11-13 H. Nakano , K. Kakuyanagi , M. Ueda , K. Semba

A complete analysis of the decoherence properties of a Josephson junction qubit is presented. The qubit is of the flux type and consists of two large loops forming a gradiometer and one small loop, and three Josephson junctions. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 David P. DiVincenzo , Frederico Brito , Roger H. Koch

A flux qubit can have a relatively long decoherence time at the degeneracy point, but away from this point the decoherence time is greatly reduced by dephasing. This limits the practical applications of flux qubits. Here we propose a new…

Superconductivity · Physics 2009-11-11 J. Q. You , Xuedong Hu , S. Ashhab , Franco Nori