Magic of discrete lattice gauge theories
arXiv:2601.15842 · doi:10.1142/S0219887825500033
Abstract
Simulation of quantum field theories and fundamental interactions are one of the most challenging tasks in modern particle physics. Classical computers generally fail to reproduce accurate results when it comes to strongly coupled theories such as QCD. Recent developments in quantum technologies open up the possibility of simulating such physical regimes by using quantum computers. In this paper, we study the quantum resource related to the simulability of a quantum theory, i.e. non-stabilizerness for Lattice Gauge Theory (LGT) with discrete symmetry gauge groups. We show that enforcing gauge constraints for LGTs has no cost in terms of this resource and discuss the relation between non-abelianity of the gauge group with the average non-stabilizerness of the gauge invariant Hilbert space.
References in corpus (35)
- Fault-tolerant quantum computation by anyons
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- The Resource Theory of Stabilizer Computation
- Simulating Lattice Gauge Theories within Quantum Technologies
- Chaos and complexity by design
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Hudson's Theorem for finite-dimensional quantum systems
- Quantum Simulation for High Energy Physics
- Bipartite entanglement and entropic boundary law in lattice spin systems
- Stabilizer Rényi entropy
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Ground state entanglement and geometric entropy in the Kitaev's model
- Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure
- Thermalization dynamics of a gauge theory on a quantum simulator
- A Formulation of Lattice Gauge Theories for Quantum Simulations
- Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
- Optical Abelian Lattice Gauge Theories
- Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial
- Quantifying the magic of quantum channels
- Measuring magic on a quantum processor
- Conformal field theories are magical
- Quantum Chaos is Quantum
- Quantum simulation of lattice gauge theories using Wilson fermions
- Simulations of quantum double models
- Quantum ether: photons and electrons from a rotor model
- Nonstabilizerness determining the hardness of direct fidelity estimation
- An Introduction to Quantum Order, String-net Condensation, and Emergence of Light and Fermions
- Isospectral twirling and quantum chaos
- Random Matrix Theory of the Isospectral twirling
- Variational quantum simulation of U(1) lattice gauge theories with qudit systems
- Quantum Simulation of Z2 Lattice Gauge theory with minimal resources
- Retrieving information from a black hole using quantum machine learning
- Stabilizer entropy of quantum tetrahedra
- Quantum simulations of a qubit of space
- Clifford Group and Unitary Designs under Symmetry