Ternary Logic In Quantum Computing

At the current stage of computer technology development,computers require high performance and compactness.However,a computer built according to the classical scheme,is already coming to its limit.The problem is that there are limitations,which are related to its physical structure.This constraint undermines the ability of increasing the computing power furthermore.Therefore,the solution to this problem lies in the field of changing the physical structure.In order to solve this problem,it is possible to use a quantum computer.Quantum computer is a device for computation that makes direct use of distinctively quantum mechanical phenomena's and affects,such as superposition and entanglement,to perform operations on data.According to theoretical predictions,the computing power of quantum computer will be much higher than its progenitor,the classical one.Currently,one of the main limitations is the usage of binary logic,due to the fact that it is difficult to represent probabilistic computing,for the reason of its determinacy.However,there is logic that allows to represent probabilistic processes without resorting to additional algorithmization.It is a multiple-variable logic and,as a special case,the ternary logic.The paper shows that the use of ternary logic significantly expands the capabilities of a quantum computer.Ternary logic can be implemented on a special unit of information,such as qutrit.Details are as follows:1)Considering the ternary logic of a quantum computer,we described the mathematical and physical model of the qutrit,where qutrit is a quantum computer ternary information unit.We represented qutrit as a pair of entangled ions with three energy levels each.That allowed us to describe the main physical parameters of the qutrit,such as:phases and positive-operator valued measure(POVM).2)To describe the way of realizing probabilistic calculations on a quantum computer,we considered one of the special quantum states named Greenberger-Horne-Zeilinger state.Its main difference from ordinary entanglement is the asymmetry of the obtained states during the measurement,which arises in groups of three entangled particles.Based on this effect we had shown the ways of a hardware solution for probabilistic problem,have a classical nature.