Two-Dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:math> Lattice Gauge Theory on a Near-Term Quantum Simulator: Variational Quantum Optimization, Confinement, and Topological Order
Luca Lumia, Pietro Torta, Glen Bigan Mbeng, Giuseppe E. Santoro, Elisa Ercolessi, Michele Burrello, Matteo M. Wauters
Abstract
Quantum approximate optimization algorithms can efficiently initialize the ground states of two-dimensional lattice gauge theory in different phases, showing signatures of topological order in systems sizes comparable to modern quantum computing platforms.
Topics & Concepts
AlgorithmScrollComputer scienceArtificial intelligenceMathematicsEngineeringMechanical engineeringQuantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography