Qubit Energy Level Required to be Unevenly Separated

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SUMMARY

Quantum computers utilizing quantum harmonic oscillators require unevenly spaced energy levels to effectively create qubits. Linear LC oscillators are unsuitable due to their evenly spaced energy levels, which lead to unwanted transitions between multiple states. Instead, non-linear inductors are employed to form non-linear LC oscillators, allowing for the isolation of two specific energy levels necessary for qubit formation. This isolation is crucial to prevent transitions beyond the desired qubit states, ensuring stable quantum operations.

PREREQUISITES
  • Understanding of quantum harmonic oscillators
  • Knowledge of linear and non-linear LC oscillators
  • Familiarity with qubit formation and quantum state transitions
  • Basic principles of quantum mechanics
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  • Learn about the implications of energy level spacing in quantum mechanics
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Quantum physicists, electrical engineers specializing in quantum computing, and researchers focused on the development of qubit technologies.

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TL;DR
Why does a Qubit need to have energy levels be unevenly separated?
I been reading up on quantum computers and in particular ones based on quantum harmonic oscillators. In all the articles, I have come across they mention a regular, linear LC oscillator cannot be used for a Qubit because it's energy levels are evenly spaced. Therefore, they use a non-linear inductor to create a non-linear LC oscillator which will have energy levels that are unevenly spaced. Can someone explain to me why unevenly spaced energy levels are required to create a quantum system/qubit?
 
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You need two isolated levels to form a qubit. In a linear h.o., any interaction that allows you to set the qubit by making transitions between 0 and 1 will also make transitions between 1 and 2, and so on.
 

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