Non-stabilizerness and entanglement in (2+1) -dimensional SU(2) lattice gauge theory using tensor networks

arXiv:2609.28634 · quant-ph, hep-lat, hep-th · Submitted 2026-09-23 · Read on arXiv

quant-ph, hep-lat, hep-th

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Entanglement — 50× in this paper · explained in 3 episodes
• Stabilizer States — 21× in this paper · explained in 2 episodes
• Entanglement Entropy — 17× in this paper · explained in 2 episodes
• Hilbert Space — 12× in this paper · explained in 2 episodes
• Multipartite Entanglement — 2× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Non-Gaussianity — 1× in this paper · explained in 2 episodes
• Riemannian optimization — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Second-order Stabilizer Rényi Entropy (SRE) — 1× in this paper · explained in 2 episodes
• Spectral Geometry — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• The Magic Barrier before Thermalization
• Magic and entanglement in 1+1-dimensional SU(2) lattice gauge theory
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Ab-initio Determination of Light Hadron Masses
• FLAG Review 2019
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Approaches to the sign problem in lattice field theory
• Theta dependence, sign problems and topological interference
• Introduction to Monte Carlo for Matrix Models
• Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
• Accurate ground states of $SU(2)$ lattice gauge theory in 2+1D and 3+1D
• Neural quantum states for non-Abelian lattice gauge theories with dynamical fermions
• Quantum Phase Diagram of the $2+1$D Untruncated SU$(2)$ Lattice Gauge Theory with Dynamical Fermions
• Simulating Lattice Gauge Theories within Quantum Technologies
• Simulating lattice gauge theories on a quantum computer
• Nonstabilizerness in U(1) lattice gauge theory
• Quantum Resources in Non-Abelian Lattice Gauge Theories: Nonstabilizerness, Multipartite Entanglement, and Fermionic Non-Gaussianity
• The Quantum Complexity of String Breaking in the Schwinger Model
• Magic of discrete lattice gauge theories

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