Quantum simulation with tensor networks in two- and three- dimensions
- CQuIC Seminars
April 30, 2026 3:30 PM -
April 30, 2026 4:30 PM
PAIS 2540
- Host:
- Akimasa Miyake
- Presenter:
- Joey Tindall
Abstract: Simulating the dynamics of many-body quantum systems is one of the foremost challenges in modern-day physics. In this talk I will demonstrate how structured tensor networks are being used to meet this challenge here at the Flatiron Institute. I will begin by introducing a graphical approach to working with tensor networks and show how it allows the seamless implementation of efficient, GPU-accelerated message-passing-based contraction schemes for their contraction and subsequent optimization.
I will then focus on several, prominent non-equilibrium experiments, and show how a tensor-network ansatz which reflects the underlying lattice geometry can be used to efficiently simulate them [1,2]. The most recent of these experiments involves both two and three-dimensional lattices of spins driven through a continuous phase transition. For finite-time quenches, we can perform accurate simulations which scale only linearly in the number of qubits and capture the universal physics present via extraction of the corresponding Kibble-Zurek exponent. I will conclude by discussing the future prospects of a structured tensor-network based approach to simulating quantum dynamics, with two and three-dimensional out-of-equilibrium fermionic and spin systems now within reach.
1] Tindall, Joseph, Matt Fishman, Miles Stoudenmire, and Dries Sels. "Efficient Tensor Network Simulation of IBM’s Eagle Kicked Ising Experiment." PRX Quantum 5, 1 (2024) 010308.
[2] Tindall, Joseph, Antonio Mello, Matt Fishman, Miles Stoudenmire, and Dries Sels. "Dynamics of Disordered Quantum Systems with Two- and Three-Dimensional Tensor Networks." arXiv preprint, arXiv:2503.05693 (2025).
Zoom password availible upon request, email nlordi AT unm.edu
