TY - GEN
AB - We propose a new link between mathematical undecidability
and quantum physics. We demonstrate that the states of
elementary quantum systems are capable of encoding
mathematical axioms and show that quantum measurements are
capable of revealing whether a given proposition is
decidable or not within the axiomatic system. Whenever a
mathematical proposition is undecidable within the axioms
encoded in the state, the measurement associated with the
proposition gives random outcomes. Our results support the
view that quantum randomness is irreducible and a
manifestation of mathematical undecidability.
AU - Paterek, T.
AU - Kofler, J.
AU - Prevedel, R.
AU - Klimek, P.
AU - Aspelmeyer, M.
AU - Zeilinger, A.
AU - Brukner, Č.
DA - 2008/11/27/
PY - 2008
SE - 2008/11/27/
TI - Mathematical undecidability and quantum randomness
UR - http://arxiv.org/abs/0811.4542
ER -