The
Born rule (also called the
Born law,
Born's rule, or
Born's law) is a
law of
quantum mechanics which gives the
probability that a
measurement on a
quantum system will yield a given result. It is named after its originator, the physicist
Max Born. The Born rule is one of the key principles of quantum mechanics. There have been many attempts to
derive the Born rule from the other assumptions of
quantum mechanics, with inconclusive results; for example, while it has been claimed that Born's law can be derived from the
Many Worlds Interpretation, the proofs have been criticized as circular. However, within the
Quantum Bayesianism interpretation of quantum theory, it has been shown to be an extension of the standard
Law of Total Probability, which takes into account the
Hilbert space dimension of the physical system involved. The Born rule can, however, be derived in the ambit of so-called
Hidden-Measurements Interpretation of quantum mechanics, by averaging over all possible measurement-interactions that can take place between the quantum entity and the measuring system.