Joined: Dec. 2006
I agree that quantum mechanics is at odds with the law of excluded middle: a quantum bit can be not only in mutually exclusive states 0 and 1, but also in other physical states that interpolate continuously between them (Bloch sphere).
But I disagree with your attempt to save the law of noncontradiction by viewing these other states as distinct from states 0 and 1. That is a bit problematic. If all states on the Bloch sphere were distinct then we could store a lot of information using them. However, a two-level system can store at most one bit. A state on the equator of the Bloch sphere is an equal-parts superposition of states at the poles. It is different from them, yet not distinct. That is a rather fine point that we will probably have to discuss later.
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