Thanks for this nice review.
If I am not wrong (please correct me if this is the case), the most advanced qubits are not only superpositions of 0 and 1 (two basic states) but are superposition of more than 2 basic states.
One has, for instance, qutrits (based on three basic states). And such more advanced qubits open of course more advanced options. Currently, it is however very hard to have more than a few basic levels as we could easily get to a state of quantum decoherence.
well, from what I read and know about, a qubit can be 0, 1 or both or any infinite number between 0 and 1.
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I was more discussing a generalization of the qubit. Imagine you have a system based on 0, 1 and 2. Much more options :)
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Qubit are generally an abstraction of a 2 level system. @lemouth is right when saying that you could think of exploring multi level systems (and some researchers have), but most current quantum computing research focuses on 2 level systems. Most importantly, the gains in computing comes from the superposition of states. This is often explain as having an infinite number of state instead of simply 0 or 1, and although that is not incorrect, it is in fact fundamentally much more then just a continuum of states (otherwise you could do the same with an analog computer where you have infinite voltages between 0 and 1).
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