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).
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
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
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
Solving a multi-step equation by multiplying by the denominator
👉 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 How to Solve Multi Step Equations with Variables on Both Sides
Solving a multi-step equation with fractions and variable on both sides
👉 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 How to Solve Multi Step Equations with Variables on Both Sides
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!
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
Quantum measurement of coherent states and qubits by Michael Hatridge
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII
Basics of Quantum Measurement with Quantum light by Michael Hatridge
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII
Quantum computation (Lecture 05) by Peter Young
RGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 27 June 2018 to 13 July 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in
From playlist Bangalore School on Statistical Physics - IX (2018)
MIT 8.422 Atomic and Optical Physics II, Spring 2013 View the complete course: http://ocw.mit.edu/8-422S13 Instructor: Wolfgang Ketterle In this lecture, the professor continued to talk about single photons, Mach-Zehnder interferometer, etc. License: Creative Commons BY-NC-SA More inform
From playlist MIT 8.422 Atomic and Optical Physics II, Spring 2013
How Quantum Entanglement Works
In which we explore the implications of entanglement. Quantum Computing Playlist: https://www.youtube.com/playlist?list=PLV4qsET9ZdOR-pf6ZMJZx2auIZScXhCaW Music (licensed under CC-BY): https://freemusicarchive.org/music/Meydan/Interplanetary_Forest/Meydn_-_Interplanetary_Forest_-_02_Pure_W
From playlist Summer of Math Exposition Youtube Videos
Experimental optical phase measurement at the exact (...) - H. Wiseman - PRACQSYS 2018 - CEB T2 2018
Howard M. Wiseman (Centre for Quantum Computation and Communication Technology - Australian Research Council & Centre for Quantum Dynamics, Griffith University, Brisbane, Queensland, Australia) / 03.07.2018 Experimental optical phase measurement at the exact Heisenberg limit The task of
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments
Review, Quantum Circuits and Algorithms (Collection of Simple Gates)
In this video, we review our multi-part discussion of the Wolfram Quantum Framework and discuss how it works, how to define relevant objects (such as a quantum circuit) and how to implement different quantum algorithms. For more info and examples, please visit the Wolfram Quantum Framework
From playlist Daily Study Group: Quantum Computation Framework
With a variable on both sides solving a multi step equation two ways
👉 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 How to Solve Multi Step Equations with Variables on Both Sides
What is a derivative? Learn what a derivative is, how to find the derivative using the difference quotient, and how to use the derivative to find the equation of the tangent line. This is a free math video tutorial by Mario's Math Tutoring. 0:11 What is a Derivative 1:22 Finding the Slop
From playlist Difference Quotient & Derivatives
Quantum Transport, Lecture 17: Quantum Hybrids
Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: transmon qubits, microwave resonators, circuit QED. Quantum Transport course development supported in part by the National Science Foundation under grant DMR CAREER 1252962.
From playlist Quantum Transport
Dynamics of quantum entanglement by Sthitadhi Roy
Vigyan Adda Dynamics of quantum entanglement Speaker: Sthitadhi Roy (ICTS-TIFR) When: 4:30 pm to 5:30 pm Thursday, 02 February 2023 Where: Online Abstract: Quantum entanglement is one of the central tenets of quantum mechanics. In fact, it can be understood as the notion that distin
From playlist Vigyan Adda
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