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Multicritical Ising models and their perturbations are paradigmatic models of statistical mechanics. In two space-time dimensions, these models provide a fertile testbed for investigation of numerous non-perturbative problems in…

Quantum Physics · Physics 2023-12-13 Ananda Roy

Following a consistent geometrical description previously introduced in Parra-Rodriguez et al. (2024), we present an exact method for obtaining canonically quantizable Hamiltonian descriptions of nonlinear, nonreciprocal quasi-lumped…

Quantum Physics · Physics 2025-12-02 A. Parra-Rodriguez , I. L. Egusquiza

In this article, we introduce an algorithmic method to find the conservative energy and non-conservative power of a large class of maximally nonlinear electric circuits (including Josephson tunnel junctions, coherent quantum phase slips,…

Classical Physics · Physics 2024-12-19 M. Mariantoni

Josephson junctions and the quantum phase-slip (QPS) junctions are two quantum circuit elements introduced by superconducting electronics to create various hybrid circuits. Josephson junctions bring the developments of superconducting…

Instrumentation and Detectors · Physics 2023-11-30 Yongliang Wang

Superconducting quantum circuits is one of the leading candidates for a universal quantum computer. Designing novel qubit and multiqubit superconducting circuits requires the ability to simulate and analyze the properties of a general…

Quantum Physics · Physics 2021-05-07 Dawei Ding , Hsiang-Sheng Ku , Yaoyun Shi , Hui-Hai Zhao

Modeling the behavior of superconducting electronic circuits containing Josephson junctions is crucial for the design of superconducting information processors and devices. In this paper, we introduce DEC-QED, a computational approach for…

Quantum Physics · Physics 2023-05-09 Dung N. Pham , Wentao Fan , Michael G. Scheer , Hakan E. Türeci

The precise engineering of electromagnetic couplings is paramount for constructing scalable and highfidelity superconducting quantum processors. While essential for orchestrating qubit operations, these couplings also present significant…

Quantum Physics · Physics 2025-08-12 Ebrahim Forati , Brandon W. Langley , Ani Nersisyan , Reza Molavi

A numerical model based on a lumped circuit element approximation for a bi-superconducting quantum interference device (bi-SQUID) operating in the presence of an external magnetic field is presented in this paper. Included in the model is…

Circuit quantization is an extraordinarily successful theory that describes the behavior of quantum circuits with high precision. The most widely used approach of circuit quantization relies on introducing a classical Lagrangian whose…

Quantum Physics · Physics 2024-04-12 Andrew Osborne , Trevyn Larson , Sarah Jones , Ray W. Simmonds , András Gyenis , Andrew Lucas

We investigate the design and functionality of a network of loop-shaped charge qubits with switchable nearest-neighbor coupling. The qubit coupling is achieved by placing large Josephson junctions at the intersections of the qubit loops and…

Superconductivity · Physics 2016-08-31 M. Wallquist , J. Lantz , V. S. Shumeiko , G. Wendin

We propose a method for the efficient quantum simulation of fermionic systems with superconducting circuits. It consists in the suitable use of Jordan-Wigner mapping, Trotter decomposition, and multiqubit gates, be with the use of a quantum…

Quantum Physics · Physics 2015-04-01 U. Las Heras , L. García-Álvarez , A. Mezzacapo , E. Solano , L. Lamata

The extraction of transition frequencies from a spectrum has conventionally relied on empirical methods, and particularly in complex systems, it is a time-consuming and cumbersome process. To address this challenge, we establish a…

Quantum Physics · Physics 2025-07-30 A. Tomonaga , H. Mukai , K. Mizuno , J. S. Tsai

We apply polymer quantization, a quantization technique sometimes used in high energy physics, to several superconducting circuits including: transmons, transmission line resonators, and LC circuits. In the case of transmon qubits and…

Quantum Physics · Physics 2025-09-23 Sean Crowe , Stefan Evans , Alexei Smolyaninov

The conventional approach to circuit quantization is based on node fluxes and traces the motion of node charges on the islands of the circuit. However, for some devices, the relevant physics can be best described by the motion of…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 Jascha Ulrich , Fabian Hassler

With the increase of complexity and coherence of superconducting systems made using the principles of circuit quantum electrodynamics, more accurate methods are needed for the characterization, analysis and optimization of these quantum…

Quantum Physics · Physics 2021-01-12 Firat Solgun , David P. DiVincenzo

We provide a systematic method for constructing effective dispersive Lindblad master equations to describe weakly anharmonic superconducting circuits coupled by a generic dissipationless nonreciprocal linear system, with effective coupling…

In recent years, quantum computing has promised a revolution in computing performance, based on massive parallelism enabled by many entangled qubits. Josephson junction integrated circuits have emerged as the key technology to implement…

Superconductivity · Physics 2014-08-26 Alan M. Kadin , Steven B. Kaplan

Designing superconducting quantum hardware requires simulation tools that can account for various deviations from ideal scenarios. This, in turn, requires approaches that automatically detect certain structures and leverage them to make the…

Quantum Physics · Physics 2026-05-28 Adrien Moulinas , Xavier Waintal

Josephson junction circuits, such as superconducting quantum interference devices (SQUIDs) and single-flux-quantum (SFQ) circuits, have been successfully applied in both analog and digital electronic domains. They are considered to be…

Superconductivity · Physics 2022-10-24 Yongliang Wang

Nonlinear superconducting circuits can be used as amplifiers, transducers, and qubits. Only a handful of superconducting circuits have been analyzed or built, so many high-performing configurations likely remain undiscovered. We seek to…

Quantum Physics · Physics 2024-10-25 Eli J. Weissler , Mohit Bhat , Zhenxing Liu , Joshua Combes