Thursday 10 April 2025
In a breakthrough that could revolutionize our understanding of quantum systems, scientists have developed a new technique for stabilizing steady-state properties in open quantum systems. This innovative approach has far-reaching implications for fields such as quantum computing and quantum communication.
Open quantum systems are those that interact with their environment, which can lead to decoherence – the loss of quantum coherence and entanglement. Stabilizing these systems is crucial for developing reliable quantum technologies. However, finding optimal parameters to generate desired non-equilibrium steady states (NESSs) has been a significant challenge.
The researchers have developed an algorithm that uses semidefinite programming to optimize system-environment parameters and predict highly-entangled and mixed NESSs in various quantum models. These models include the Ising, Kitaev, and Dicke models, which are commonly used to study quantum phase transitions and topological order.
The algorithm is based on the Lindblad equation, a mathematical framework that describes the evolution of open quantum systems. By solving this equation, scientists can predict the steady-state behavior of these systems under different conditions. However, the complexity of the problem makes it difficult to find optimal parameters without resorting to numerical simulations or experimental measurements.
The new algorithm overcomes this challenge by using semidefinite programming to find the optimal parameters that minimize a given objective function. This function is designed to capture the desired properties of the NESS, such as entanglement and mixed states.
The researchers tested their algorithm on several quantum models and found that it was able to predict highly-entangled and mixed NESSs with high accuracy. They also demonstrated that the algorithm can be used to stabilize topological order in Kitaev chains, a key feature of topological quantum computing.
This breakthrough has significant implications for the development of reliable quantum technologies. It provides a powerful tool for scientists to design and optimize open quantum systems, which is essential for scaling up quantum computers and developing secure quantum communication networks.
The algorithm also opens up new avenues for research in quantum many-body systems. By using this technique, scientists can study the behavior of complex quantum systems under different conditions, which could lead to a deeper understanding of their underlying physics.
In summary, the researchers have developed an innovative algorithm that enables scientists to stabilize steady-state properties in open quantum systems. This breakthrough has significant implications for the development of reliable quantum technologies and opens up new avenues for research in quantum many-body systems.
Cite this article: “Unlocking Quantum Chaos: Engineers Stabilize Entangled States in Open Systems”, The Science Archive, 2025.
Open Quantum Systems, Quantum Computing, Quantum Communication, Semidefinite Programming, Lindblad Equation, Non-Equilibrium Steady States, Entanglement, Mixed States, Topological Order, Quantum Many-Body Systems
