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We describe in this paper how the nonlinear Josephson inductance is the crucial circuit element for all Josephson qubits. We discuss the three types of qubit circuits, and show how these circuits use this nonlinearity in unique manners. We…

Superconductivity · Physics 2007-05-23 John M. Martinis , Kevin Osborne

Superconducting circuits extensively rely on the Josephson junction as a nonlinear electronic element for manipulating quantum information and mediating photon interactions. Despite continuing efforts in designing anharmonic Josephson…

Quantum Physics · Physics 2020-02-26 Andrei Vrajitoarea , Ziwen Huang , Peter Groszkowski , Jens Koch , Andrew A. Houck

Hybrid superconductor/semiconductor devices constitute a powerful platform where intriguing topological properties can be investigated. Here we present fabrication methods and analysis of Josephson junctions formed by a high-mobility InAs…

Mesoscale and Nanoscale Physics · Physics 2019-01-15 Stefano Guiducci , Matteo Carrega , Giorgio Biasiol , Lucia Sorba , Fabio Beltram , Stefan Heun

We present an efficient, accurate, and comprehensive analysis framework for generic, multi-port nonlinear parametric circuits, in the presence of dissipation from lossy circuit components, based on "quantum-adapted" X-parameters. We apply…

Quantum Physics · Physics 2022-12-01 Kaidong Peng , Rick Poore , Philip Krantz , David E. Root , Kevin P. O'Brien

Tunable Josephson harmonics open new avenues for qubit design. We demonstrate a superconducting circuit element consisting of a tunnel junction in series with a SQUID loop, yielding a Josephson potential whose harmonic content is strongly…

It is customary to use arrays of superconducting quantum interference devices (SQUIDs) for implementing magnetic field-tunable inductors. Here, we demonstrate an equivalent tunability in a (SQUID-free) array of single Al/AlOx/Al Josephson…

Superconductivity · Physics 2024-12-10 Roman Kuzmin , Nitish Mehta , Nicholas Grabon , Vladimir E. Manucharyan

We review recent theoretical and experimental progress in quantum state engineering with Josephson junction devices. The concepts of quantum computing have stimulated an increased activity in the field. Either charges or phases (fluxes) of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Gerd Schoen , Alexander Shnirman

This short and opinionated review starts with a concept of quantum signals at microwave frequencies and focuses on the principle of linear parametric amplification. The amplification process arises from the dispersive nonlinearity of…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Michel Devoret , Ananda Roy

Josephson parametric amplifiers (JPAs) approaching quantum-limited noise performance have been instrumental in enabling high fidelity readout of superconducting qubits and, recently, semiconductor quantum dots (QDs). We propose that the…

We experimentally investigate the stochastic phase dynamics of planar Josephson junctions (JJs) and superconducting quantum interference devices (SQUIDs) defined in epitaxial InAs/Al heterostructures, and characterized by a large ratio of…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 D. Z. Haxell , E. Cheah , F. Křížek , R. Schott , M. F. Ritter , M. Hinderling , W. Belzig , C. Bruder , W. Wegscheider , H. Riel , F. Nichele

We explore the similarities and differences between simple theoretical models developed to describe the quantum optical micromaser and Josephson-photonics devices. Whilst the micromaser has long been recognised as an important model for the…

Quantum Physics · Physics 2019-08-09 Simon Dambach , Andrew D. Armour , Björn Kubala , Joachim Ankerhold

A minimal method to fabricate Al/AlO$_x$/Al Josephson junctions (JJs) using photolithography and argon etching, before metallization and oxidation, is demonstrated. JJs with areas ranging from 1 to 6 $\mu$m$^2$ can be fabricated and, with…

Quantum Physics · Physics 2026-04-30 Imran Mahboob , Satoshi Sasaki , Takaaki Takenaka

We investigate Josephson transport in a fully closed, two-dimensional superfluid circuit formed by a ring-shaped 87Rb Bose-Einstein condensate that contains two optical barriers acting as movable weak links. Translating these barriers at…

Quantum Gases · Physics 2026-05-29 Koon Siang Gan , Vijay Pal Singh , Luigi Amico , Rainer Dumke

The concept of coupled robust field induced Josephson junctions placed in complex electromagnetic environments is presented. Such structures are made by polarization of superconducting nanostructures by magnetic fields. The methodology of…

Mesoscale and Nanoscale Physics · Physics 2020-10-01 Krzysztof Pomorski

We develop a concept of the traveling-wave Josephson parametric amplifier exploiting quadratic nonlinearity of a serial array of one-junction SQUIDs embedded in a superconducting transmission line. The external magnetic flux applied to the…

Superconductivity · Physics 2016-09-20 A. B. Zorin

Superconducting qubits with in-situ tunable properties are important for constructing a quantum computer. Qubit tunability, however, often comes at the expense of increased noise sensitivity. Here, we propose a flux-tunable superconducting…

Quantum Physics · Physics 2017-08-09 Eyob A. Sete , Matthew Reagor , Nicolas Didier , Chad T. Rigetti

The addition of nonlinearity to an harmonic resonator provides a route to complex dynamical behaviour of resonant modes, including coupling between them. We present a superconducting device that makes use of the nonlinearity of Josephson…

Quantum Physics · Physics 2014-02-10 G. Tancredi , G. Ithier , P. J. Meeson

The atomic superfluid quantum interference device (ASQUID) with tunable Josephson junctions is theoretically investigated. ASQUID is a device that can be used for the detection of rotation. In this work we establish an analytical theory for…

Quantum Gases · Physics 2025-07-09 Jiatao Tan , Boyang Liu

This paper illustrates a unified approach, classical circuit and control theories, to study a nonlinear LC circuit with a current dependent inductance as model of the Josephson junction, the mathematical analysis is complemented with…

Signal Processing · Electrical Eng. & Systems 2019-02-11 Alberto Delgado

We have realized a microwave quantum-limited amplifier that is directional and can therefore function without the front circulator needed in many quantum measurements. The amplification takes place in only one direction between the input…