Maksym Teslyk (National Shevchenko University of Kyiv, Ukraine)

Quantum logic dequantification: information gap

An attempt to ascertain reasons of the quantum logic effectivity was made. To do this, elementary quantum logic operations were reduced to the classical ones when taking the semi-classical limit h → 0; it was done with the help of the projector operator representation of quantum logic. Basing on it, the estimation of the amount of information lost during the logic reduction was made, thus shedding some light on the loss of computational effectivity of any dequantified quantum algorithm and the gap problem in quantum computing.

Joint work with Eugene Belokolos.