Logics – By Ignacio Cirac

This post is also available in: Spanish

It seems that Quantum Mechanics operates with a logic which is slightly different to classical one. What are the differences?

The fundamental difference is that, in classical logics, there’s only one possibility at each moment. That is, if one expresses it in binary terms, in terms of zeros and ones, one has either a zero or a one. Then, one can have a grammar that says how to combine those zeros and ones, etc. but the fact that one has a zero and a one and not both at once is fundamental. One cannot have an object represented by a zero and a one simultaneously. But Quantum Physics does allow that: it’s what we call superposition and it allows us to have one same object in two states -which we call Quantum States- at once and that’s the fundamental difference.

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