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We present a semi-classical method for determining the effective low-energy quantum Hamiltonian of weakly anharmonic superconducting circuits containing mesoscopic Josephson junctions coupled to electromagnetic environments made of an…

We introduce an efficient tensor network toolbox to compute the low-energy excitations of large-scale superconducting quantum circuits up to a desired accuracy. We benchmark this algorithm on the fluxonium qubit, a superconducting quantum…

Quantum Physics · Physics 2021-10-26 Agustin Di Paolo , Thomas E. Baker , Alexandre Foley , David Sénéchal , Alexandre Blais

Recent advances in quantum information processing with superconducting qubits have fueled a growing demand for scaling and miniaturizing circuit layouts. Despite significant progress, predicting the Hamiltonian of complex circuits remains a…

The development of new superconducting circuits and the improvement of existing ones rely on the accurate modeling of spectral properties which are key to achieving the needed advances in qubit performance. Systematic circuit analysis at…

Quantum Physics · Physics 2023-02-07 Sai Pavan Chitta , Tianpu Zhao , Ziwen Huang , Ian Mondragon-Shem , Jens Koch

Coupling qubits together towards large-scale integration is a key point for realizing a quantum computer. We study the capacitively coupled superconducting phase qubits using two diagonalization methods, which are very efficient to obtain…

Superconductivity · Physics 2009-11-11 Tao Wu , Zheng Li , Jianshe Liu

We propose a new quantization method for superconducting electronic circuits involving a Josephson junction device coupled to a linear microwave environment. The method is based on an exact impedance synthesis of the microwave environment…

Quantum Physics · Physics 2015-06-19 Firat Solgun , David W. Abraham , David P. DiVincenzo

Building on the established methods for superconducting circuit quantization, we present a new theoretical framework for approximate numerical simulation of Josephson quantum circuits. Simulations based on this framework provide access to a…

Quantum Physics · Physics 2020-12-17 Andrew J. Kerman

In this work, we introduce new methods for the quantization, decomposition, and extraction (from electromagnetic simulations) of lumped-element circuit models for superconducting quantum devices. Our flux-charge symmetric procedures center…

Quantum Physics · Physics 2024-12-11 Basil M. Smitham , Andrew A. Houck

Large superconducting quantum circuits have a number of important applications in quantum computing. Accurately predicting the performance of these devices from first principles is challenging, as it requires solving the many-body…

In an attempt to better leverage superconducting quantum computers, scaling efforts have become the central concern. These efforts have been further exacerbated by the increased complexity of these circuits. The added complexity can…

Quantum Physics · Physics 2024-06-10 Fadi Wassaf

We characterize a fluxonium qubit consisting of a Josephson junction inductively shunted with a NbTiN nanowire superinductance. We explain the measured energy spectrum by means of a multimode theory accounting for the distributed nature of…

Quantum Physics · Physics 2019-01-30 T. M. Hazard , András Gyenis , A. Di Paolo , A. T. Asfaw , S. A. Lyon , A. Blais , A. A. Houck

This tutorial aims at giving an introductory treatment of the circuit analysis of superconducting qubits, i.e., two-level systems in superconducting circuits. It also touches upon couplings between such qubits and how microwave driving and…

The intriguing appeal of circuits lies in their modularity and ease of fabrication. Based on a toolbox of simple building blocks, circuits present a powerful framework for achieving new functionality by combining circuit elements into…

Superconductivity · Physics 2013-02-01 David G. Ferguson , A. A. Houck , Jens Koch

Superconducting circuits consisting of a few low-anharmonic transmons coupled to readout and bus resonators can perform basic quantum computations. Since the number of qubits in such circuits is limited to not more than a few tens, the…

Mesoscale and Nanoscale Physics · Physics 2019-07-18 Mohammad H. Ansari

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

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

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

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 present a theoretical description for circuits consisting of weak anharmonic qubits coupled to cavity multimodes. We obtain a unitary transformation that diagonalizes harmonic sector of the circuit. Weak anharmonicity does not alter the…

Mesoscale and Nanoscale Physics · Physics 2019-07-19 Mohammad H. Ansari

Analog quantum simulators can be used to study quantum correlation in novel many-body systems by emulating the Hamiltonian of these systems. One essential question in quantum simulation is to probe the properties of an emulated many-body…

Quantum Physics · Physics 2015-07-29 Liang-Hui Du , J. Q. You , Lin Tian
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