Gluon digitization via character expansion for quantum computers
Ji Yao, Henry Lamm, Shuchen Zhu
Abstract
Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors. We systematize this approach by deriving the single plaquette action through matching the continuous group action to that of a discrete one via group character expansions modulo the field fluctuation contributions. We accompany this scheme by simulations of pure gauge over the largest discrete crystal-like subgroup of $SU(3)$ up to the fifth order in the coupling constant.
Topics & Concepts
DigitizationCharacter (mathematics)PhysicsModuloAction (physics)Coupling constantGauge (firearms)Matching (statistics)Theoretical physicsField (mathematics)QuantumQuantum mechanicsComputer scienceDiscrete mathematicsMathematicsPure mathematicsStatisticsGeometryHistoryArchaeologyComputer visionParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsQuantum Computing Algorithms and Architecture