Misc,
Algorithmic approach to quantum physics
(December 2004)
Abstract
Algorithmic approach is based on the assumption that any quantum evolution of
many particle system can be simulated on a classical computer with the
polynomial time and memory cost. Algorithms play the central role here but not
the analysis, and a simulation gives a "film" which visualizes many particle
quantum dynamics and is demonstrated to a user of the model. Restrictions
following from the algorithm theory are considered on a level of fundamental
physical laws. Born rule for the calculation of quantum probability as well as
the decoherence is derived from the existence of a nonzero minimal value of
amplitude module - a grain of amplitude. The limitation on the classical
computational resources gives the unified description of quantum dynamics that
is not divided to the unitary dynamics and measurements and does not depend on
the existence of observer. It is proposed the description of states based on
the nesting of particles in each other that permits to account the effects of
all levels in the same model. Algorithmic approach admits the possibility of
refutation, because it forbids the creation of a scalable quantum computer that
is allowed in the conventional quantum formalism.
