Frontiers of Tensor Networks and Their Applications in Quantum Many-Body Physics

Key Points

• The aim is to review the development and applications of tensor networks in quantum many-body physics.
• Systematic review of tensor network methods and applications in quantum physics.
• Emphasis on applications in strongly correlated electronic systems and topological states.
• Discussion of evolving from closed to non-Hermitian and open quantum systems.
• Tensor networks efficiently simulate strongly correlated quantum many-body systems.
• Mixed-state tensor networks describe noisy quantum states, providing a unified framework for topological order.
• Significant advancements in both theoretical development and practical applications across various quantum physics domains.