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Related Concept Videos

Superconductor01:24

Superconductor

A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
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A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
Superposition Theorem for AC Circuits01:13

Superposition Theorem for AC Circuits

Consider encountering a circuit in a steady state where all its inputs are sinusoidal, yet they do not all possess the same frequency. Such a circuit is not classified as an alternating current (AC) circuit, and consequently, its currents and voltages will not exhibit sinusoidal behavior. However, this circuit can be analyzed using the principle of superposition.
The principle of superposition stipulates that the output of a linear circuit with several concurrent inputs is equivalent to the...
Second-Order Circuits01:17

Second-Order Circuits

Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
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First-order electrical circuits, which comprise resistors and a single energy storage element - either a capacitor or an inductor, are fundamental to many electronic systems. These circuits are governed by a first-order differential equation that describes the relationship between input and output signals.
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Updated: May 18, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Black-box superconducting circuit quantization.

Simon E Nigg1, Hanhee Paik, Brian Vlastakis

  • 1Department of Physics, Yale University, New Haven, Connecticut 06520, USA.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

We developed a semiclassical method to find the quantum Hamiltonian for superconducting circuits. This approach accurately predicts the low-energy spectrum of complex systems like 3D transmon qubits.

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Area of Science:

  • Quantum computing
  • Superconducting circuits
  • Circuit quantum electrodynamics

Background:

  • Superconducting circuits with Josephson junctions are key for quantum computing.
  • Understanding their low-energy quantum Hamiltonian is crucial for qubit design.
  • Accurate theoretical models are needed to interpret experimental results.

Purpose of the Study:

  • To present a novel semiclassical method for determining the effective low-energy quantum Hamiltonian.
  • To enable accurate modeling of weakly anharmonic superconducting circuits.
  • To provide a tool for analyzing complex circuit quantum electrodynamics systems.

Main Methods:

  • Developed a semiclassical approach for Hamiltonian determination.
  • Utilized quantized eigenmodes of the linearized circuit as a basis.
  • Employed classical linear response functions to define the basis.
  • Applied the method to calculate the low-energy spectrum of a 3D transmon.

Main Results:

  • The method effectively captures multimode physics in superconducting circuits.
  • Numerical calculations for a 3D transmon system were performed.
  • Obtained quantitative agreement between theoretical predictions and experimental measurements.

Conclusions:

  • The presented semiclassical method is a powerful tool for analyzing superconducting quantum circuits.
  • It accurately predicts the low-energy spectrum, aiding in qubit development.
  • The approach is versatile, applicable to circuits with arbitrary electromagnetic environments.