It is argued that, although in the Many-Worlds Interpretation of quantum mechanics there is no “probability” for an outcome of a quantum experiment in the usual sense, we can understand why we have an illusion of probability. The explanation involves: a). A “sleeping pill” gedanken experiment which makes correspondence between an illegitimate question: “What is the probability of an outcome of ...

You will go through great pains to learn the profound mathematics of Hilbert spaces and operators on them. What in experiment suggests the specific form of quantum mechanics with its “postulates”? Why should measurable quantities be represented by operators on a Hilbert space? Why should the complete information about a system be represented by a vector from a Hilbert space? It looks like we ma...

We show that, assuming that quantum mechanics holds locally, the finite speed of information is the principle that limits all possible correlations between distant parties to be quantum mechanical as well. Local quantum mechanics means that a Hilbert space is assigned to each party, and then all local positive-operator-valued measurements are (in principle) available; however, the joint system ...

The famous gedanken experiments of quantum mechanics have historically played crucial roles in trying to understand quantum mechanics and in developing the Copenhagen interpretation. They are re-examined here from the perspective of standard quantum mechanics, without a mix of any ontological interpretation. It is shown that, in most of these gedanken experiments, entanglement plays a crucial r...

This paper shows how the Greenberger-Horne-Zeilinger experiment, which demonstrates the nonlocal nature of quantum mechanics, can be performed using nuclear magnetic resonance on spins in molecules at finite temperature. The use of nuclear magnetic resonance techniques allows the experiment to uncover the nonlocality not just of special GHZ states, but of arbitrary three particle states.