Stabilizing two-qubit entanglement using stochastic path integral formalism

Stabilizing quantum entanglement is crucial for performing various quantum information processing tasks. In this work, we develop a comprehensive theoretical framework for entanglement stabilization using the Chantasri–Dressel–Jordan (CDJ) stochastic path-integral formalism. This framework is applied to two qubits under continuous local monitoring in the presence of an entangling Hamiltonian with tunable strength. We identify optimal control strategies for stabilizing entanglement, focusing on maintaining a minimum level of entanglement by analyzing the most-likely trajectories. Through this approach, we propose a theoretical method that minimizes resource consumption while achieving stabilization, providing a practical solution for real-world quantum information applications.