Theory of computer calculations strongly depends on the nature of elements the computer is made of. Quantum interference allows to formulate the Shor factorization algorithm turned out to be more effective than any one written for classical computers
. Similarly, quantum wave packet reduction allows to devise the Grover search algorithm which outperforms any classical one. In the present paper we argue that the quantum incoherent tunneling can be used for elaboration of new algorithms able to solve some NP-hard problems, such as the Traveling Salesman Problem, considered to be intractable in the classical theory of computer computations.
A simple explanation of the fact that light magnetic monopoles have not been observed at accelerator experiments is given. It is based on a possibility of violation of C invariance in the electromagnetic interactions. Because of the difficulty of mon
opole registration, two interconnected problems arise: to formulate a theory describing monopole production (it should include a new force beyond the Standard Model of electroweak interaction), and to point the way to monopole observation. We consider a possibility, closely related to some experiments, of a modification of life time of radioactive elements by magnetic monopoles. The first part of the article is devoted to purely electromagnetic impact of monopoles, caused by the vertex M --> M + gamma. The second part, more speculative one, is based on experimental evidences in favour of the existence of some axial vector currents, responsible for a new force, which can stimulate, or suppress, decays of radioactive elements.
