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In this paper we introduce a binary search algorithm that efficiently finds initial maximum likelihood estimates for sequential experiments where a binary response is modeled by a continuous factor. The problem is motivated by switching…

Statistics Theory · Mathematics 2008-08-27 Juha Karvanen

The efficiency of an experimental design is ultimately measured in terms of time and resources needed for the experiment. Optimal sequential (multi-stage) design is studied in the situation where each stage involves a fixed cost. The…

Statistics Theory · Mathematics 2012-11-08 Juha Karvanen

We study sequential cost-efficient design in a situation where each update of covariates involves a fixed time cost typically considerable compared to a single measurement time. The problem arises from parameter estimation in switching…

Methodology · Statistics 2024-03-05 Jeongmin Han , Juha Karvanen , Mikko Parviainen

Measurement of signals generated by superconducting Josephson junction (JJ) circuits require ultra-fast components located in close proximity to the generating circuitry. We report a detailed study of optimal design criteria for a JJ-based…

Instrumentation and Detectors · Physics 2025-03-27 Logan Howe , Bart van Zeghbroeck , David Olaya , John Biesecker , Charles J. Burroughs , Samuel P. Benz , Peter F. Hopkins

Josephson junctions manufactured to tight tolerances are necessary components for superconducting quantum computing. Developing precise manufacturing techniques for Josephson junctions requires an understanding of their make-up and robust…

Quantum Physics · Physics 2025-10-10 Oscar W. Kennedy , Kevin G. Crawford , Kowsar Shahbazi , Connor D. Shelly

The Josephson junction is the fundamental nonlinear building block of superconducting quantum technologies. Its macroscopic quantum tunneling physics underpins superconducting quantum computing, sensing, and communication, but scaling these…

We have developed a scheme for a high resolution measurement of the switching current distribution of a current biased Josephson tunnel junction using a timing technique. The measurement setup is implemented such that the digital control…

Superconductivity · Physics 2009-11-07 A. Wallraff , A. Lukashenko , C. Coqui , T. Duty , A. V. Ustinov

We tackle the problem of accurate simulations of switching currents arising from tunnel events in the washboard potentials associated to Josephson junctions. The measurements of the probability distribution of the switching currents is…

Quantum Physics · Physics 2017-07-05 Vincenzo Pierro , Giovanni Filatrella

The dynamics of overdamped Josephson junctions under varying microwave-driving conditions have been studied through numerical simulations using the resistively-shunted junction (RSJ) model, with a focus on primary voltage metrology…

Superconductivity · Physics 2025-08-19 Paolo Durandetto

We investigate tunnel ferromagnetic Josephson junctions based on Superconductor-Insulator-thin superconductor-Ferromagnet-Superconductor multilayers. A comparative study of their electrodynamic properties is performed for junctions with…

In this proposal, we present an experimental setup based on superconducting circuits and Josephson junctions to explore the modification of Josephson coefficient in the presence of external magnetic field due to vacuum polarization of…

Superconductivity · Physics 2017-01-02 Ali Izadi Rad

The quantum character of Josephson junctions is ordinarily revealed through the analysis of the switching currents, i.e. the current at which a finite voltage appears: A sharp rise of the voltage signals the passage (tunnel) from a trapped…

Quantum Physics · Physics 2016-10-24 Vincenzo Pierro , Giovanni Filatrella

Superconductor digital electronics using Josephson junctions as ultrafast switches and magnetic-flux encoding of information was proposed over 30 years ago as a sub-terahertz clock frequency alternative to semiconductor electronics based on…

Superconductivity · Physics 2016-06-03 Sergey K. Tolpygo

We present optimal control strategies for the DC transport across a Josephson junction. Specifically, we consider a junction in which the Josephson coupling is driven parametrically, with either a bichromatic or a trichromatic driving…

Superconductivity · Physics 2024-03-12 Hannah Kleine-Pollmann , Guido Homann , Ludwig Mathey

In this contribution we present JosephsonCircuitsOptimizer.jl (JCO), a simulation and optimization framework based on the JosephsonCircuits.jl library for Julia. It models superconducting circuits that include Josephson junctions (JJs) and…

The measurement of the escape time of a Josephson junction might be used to detect the presence of a sinusoidal signal embedded in noise when standard signal processing tools can be prohibitive. We show that the prescriptions for the…

Instrumentation and Detectors · Physics 2015-06-03 Paolo Addesso , Giovanni Filatrella , Vincenzo Pierro

We show how to optimally control the creation of quantum superpositions in a bosonic Josephson junction within the two-site Bose-Hubbard model framework. Both geometric and purely numerical optimal control approaches are used, the former…

Quantum Gases · Physics 2012-02-16 Marc Lapert , Giulia Ferrini , Dominique Sugny

We investigate the dynamics of the phase variable of an ideal underdamped Josephson junction in switching current experiments. These experiments have provided the first evidence for macroscopic quantum tunneling in large Josephson junctions…

Superconductivity · Physics 2009-11-11 G. S. Paraoanu

Josephson junctions and superconducting wires when probed with current pulses exhibit stochastic switching from superconducting to a stable non-zero voltage state. Electrical current dependence of the switching probability (so called…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Marek Foltyn , Konrad Norowski , Alexander Savin , Maciej Zgirski

The ultimate spatial limit to establish a Josephson coupling between two superconducting electrodes is an atomic-scale junction. The Josephson effect in such ultrasmall junctions has been used to unveil new switching dynamics, study…

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