Abstract

Quantum systems are of great interest in current realities. Quantum computers are not an alternative to the classic. Rather, they can be attributed to the class of devices specializing in a separate group of tasks. However, a key issue in the design of quantum computers is the issue of decoherence time. To combat that phenomenon, various methods of isolating a quantum system are being developed, including the use of extremely low temperatures and high vacuum. In addition, one of the ways to combat decoherence is to use dark states, due to the fact that a system of atoms in this state is not able to interact with light – absorb or emit photons. In this paper, various systems of three-level atoms are considered. Schemes of two types of atoms are represented graphically – λ-atoms, v-atoms. The concept of a dark quantum state and the concept of a family of a quantum state are introduced. An algorithm for finding the dimension and basis of the subspace of dark states is presented. According to the algorithm, the dimensions and bases of the subspaces of dark states in these systems are calculated.

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