Moving on today to Sharma lessons 4 and 5 on elements of Quantum Computing.
Standing waves, such as microwaves, are used to drive qubits!!
https://upload.wikimedia.org/wikipedia/commons/e/e0/StationaryStatesAnimation.gif
Three wavefunction solutions to the Time-Dependent Schrödinger equation for a harmonic oscillator. Left: The real part (blue) and imaginary part (red) of the wavefunction. Right: The probability of finding the particle at a certain position. The top two rows are the lowest two energy eigenstates, and the bottom is the superposition state , which is not an energy eigenstate. The right column illustrates why energy eigenstates are also called "stationary states".
Standing waves do not move in space; they just oscillate.
source: Wikipedia
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I was asked about what the Hamiltonian is in the Schrodinger equation. The term
Hamiltonian is an analogy to what it is in Hamltonian mechanics. Below:
The Hamiltonian in Quantum Mechanics (gsu.edu)
From the Russian-language Wikipedia:
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For those doing Sharma 4; qiskit has been recently updated and minor
changes need to be made to access Aer simulator.
The old code:
The new code:
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