Quantum circuit simulation and hybrid quantum computation with tensor networks
Tensor network methods have emerged as powerful tools for tackling complex problems in quantum science and technology. In this talk, I will present recent advances in tensor network techniques across two distinct domains. In the first part, I will detail the integration of a dynamical, entanglement-based clustering strategy into tensor network algorithms for emulating quantum circuits, highlighting substantial improvements in computational efficiency and accuracy. In the second part, I will discuss the synergy between tensor networks and quantum computers, presenting a hybrid computational framework that leverages the strengths of both approaches for ground-state optimization. I will show how this architecture enables efficient simulation of strongly correlated two-dimensional quantum many-body systems.
Main references:
- A. De Girolamo, P. Facchi, P. Rabl, S. Pascazio, C. Lupo, G. Magnifico, Phys. Rev.
Research 7, 043170 (2025)
- J. Schuhmacher, M. Ballarin, A. Baiardi, G. Magnifico, F. Tacchino, S. Montangero,
I. Tavernelli, PRX Quantum 6, 010320 (2025)