Generation of Werner-like states via a two-qubit system plunged in a thermal reservoir and their application in solving binary classification problems

We present a theoretical scheme for the generation of stationary entangled states. To achieve the purpose we consider an open quantum system consisting of a two-qubit plunged in a thermal bath, as the source of dissipation, and then analytically solve the corresponding quantum master equation. We generate two classes of stationary entangled states including the Werner-like and maximally entangled mixed states. In this regard, since the solution of the system depends on its initial state, we can manipulate it and construct robust Bell-like state. In the continuation, we analytically obtain the population and coherence of the considered two-qubit system and show that the residual coherence can be maintained even in the equilibrium condition. Finally, we successfully encode our two-qubit system to solve a binary classification problem. We demonstrate that, the introduced classifiers present high accuracy without requiring any iterative method. In addition, we show that the quantum based classifiers beat the classical ones.

Automated summary

A theoretical scheme for generating stationary entangled states is proposed, resulting in two classes of entangled states. Analytical solutions for the population and coherence of the system are obtained, showing that residual coherence can be maintained even in equilibrium. The two-qubit system is successfully encoded for solving a binary classification problem, demonstrating high accuracy and superiority over classical classifiers.