A measure of the total magnetic field passing through a surface, central to superconducting qubit operation.Magnetic flux is a measure of the total magnetic field passing through a given surface area. It is a fundamental concept in electromagnetism, quantifying how much magnetic field lines penetrate a surface. In quantum physics, magnetic flux plays a critical role in phenomena like superconductivity and the operation of superconducting qubits, where the quantization of flux leads to discrete energy levels.
The concept of magnetic flux was developed in the 19th century, with Michael Faraday's law of induction relating changes in flux to induced electromotive force. The quantization of flux in superconductors was predicted by Fritz London in 1950 and experimentally confirmed in 1961.
Mathematically, magnetic flux is the product of the magnetic field strength and the area it passes through, adjusted for the angle between the field and the surface normal. In superconductors, magnetic flux is quantized in units of the flux quantum, meaning it can only take discrete values. This quantization arises from the requirement that the superconducting wavefunction be single-valued, leading to the formation of vortices that carry integer multiples of the flux quantum.
Magnetic flux is central to the design of superconducting qubits, where the qubit state is controlled by applying precise magnetic flux values, as well as in magnetic sensors and transformers.
In superconducting circuits, magnetic flux can be 'trapped' in loops, and the title 'Металл запирает магнитный поток' highlights how certain metals can lock in flux, a key effect for quantum memory.
| \Delta Q | variable | Accumulated charge change in the superconductor — electric charge coulomb |
| \Delta \Phi | variable | Change in magnetic flux through the superconducting loop — magnetic flux weber |
| \nu | variable | Filling factor (integer or fractional) of the quantum Hall state — dimensionless |
| e | constant | Magnitude of the electric charge of a single electron or proton — elementary charge = 1.602176634e-19 coulomb |
| \Phi_0 | constant | Superconducting flux quantum, h/(2e), the fundamental unit of magnetic flux in a superconductor — magnetic flux quantum = 2.067833848e-15 weber |
| Φ_0 | variable | Magnetic flux quantum — magnetic flux weber |
| h | constant | Planck constant, the fundamental quantum of action — planck constant = 6.62607015e-34 joule second |
| e | constant | Elementary charge, the magnitude of charge of a single electron — elementary charge = 1.602176634e-19 coulomb |



