Quantum-Classical Entangled Approach with Tensor Networks for Spin Liquid

Explore the intersection of quantum computing and tensor networks in this comprehensive lecture on quantum-classical entangled approaches for spin liquid systems. Delve into the challenges of representing quantum many-body states on classical computers and discover how quantum computers offer potential solutions. Examine the Variational Quantum Eigensolver (VQE) method and its applications in quantum many-body problems. Learn about tensor network representations of quantum states and their role in designing efficient quantum circuits for near-future noisy quantum computers. Focus on the spin liquid state in the honeycomb lattice Kitaev model as a concrete example, understanding how tensor network states can capture qualitative properties and be systematically improved. Investigate the application of tensor network representations to the VQE approach and discuss strategies for efficiently optimizing infinite systems through small cluster optimization problems. Gain insights into cutting-edge research bridging quantum and classical computational techniques for solving complex quantum many-body problems.