Quantum information science

Phase qubit

In quantum computing, and more specifically in superconducting quantum computing, the phase qubit is a superconducting device based on the superconductor–insulator–superconductor (SIS) Josephson junction, designed to operate as a quantum bit, or qubit. The phase qubit is closely related, yet distinct from, the flux qubit and the charge qubit, which are also quantum bits implemented by superconducting devices. The major distinction among the three is the ratio of Josephson energy vs charging energy (the necessary energy for one Cooper pair to charge the total capacitance in the circuit): * For phase qubit, this ratio is on the order of 106, which allows for macroscopic bias current through the junction; * For flux qubit it's on the order of 10, which allows for mesoscopic supercurrents (typically ~300 nA); * For charge qubit it's less than 1, and therefore only a few Cooper pairs can tunnel through and charge the Cooper-pair box. However, transmon can have a very low charging energy due to the huge shunt capacitance, and therefore have this ratio on the order of 10~100. (Wikipedia).

Phase qubit
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The Two-Dimensional Discrete Fourier Transform

The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen

From playlist Fourier

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Partial derivatives of vector fields, component by component

Here we step through each partial derivative of each component in a vector field, and understand what each means geometrically.

From playlist Multivariable calculus

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Multivariable Calculus | Definition of partial derivatives.

We give the definition of the partial derivative of a function of more than one variable. In addition, we present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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From playlist How to Solve Multi Step Equations with Variables on Both Sides

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From playlist How to Solve Multi Step Equations with Variables on Both Sides

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Solving an equation with variables on both side and one solution

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist Solve Multi-Step Equations......Help!

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Quantum Transport, Lecture 16: Superconducting qubits

Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: quantum electrical circuits - flux qubits, phase qubits and charge qubits. Quantum Transport course development supported in part by the National Science Foundation under grant DMR

From playlist Quantum Transport

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From playlist Non-Hermitian Physics - PHHQP XVIII

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Quantum computation (Lecture 05) by Peter Young

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5. Single photons, Part 2

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From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013

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How Quantum Entanglement Works

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From playlist Summer of Math Exposition Youtube Videos

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Experimental optical phase measurement at the exact (...) - H. Wiseman - PRACQSYS 2018 - CEB T2 2018

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Review, Quantum Circuits and Algorithms (Collection of Simple Gates)

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From playlist Daily Study Group: Quantum Computation Framework

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What is a derivative?

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From playlist Difference Quotient & Derivatives

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From playlist Quantum Transport

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Dynamics of quantum entanglement by Sthitadhi Roy

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11_5_1 Directional Derivative of a Multivariable Function Part 1

Understanding that a partial derivative refers to a rate of change in the direction of a certain axis, we now look at the rate of change in any direction. The direction is indicated by a unit vector, in other words it has a dimension of one and is therefore only its direction is important

From playlist Advanced Calculus / Multivariable Calculus

Related pages

Superconducting quantum computing | Schrödinger equation | Transmon | Flux qubit | Charge qubit | Cooper pair | Quantum computing