Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States
Baptiste Royer, Shraddha Singh, S. M. Girvin
Abstract
We introduce a new approach to Gottesman-Kitaev-Preskill (GKP) states that treats their finite-energy version in an exact manner. Based on this analysis, we develop new qubit-oscillator circuits that autonomously stabilize a GKP manifold, correcting errors without relying on qubit measurements. Finally, we show numerically that logical information encoded in GKP states is very robust against typical oscillator noise sources when stabilized by these new circuits.
Topics & Concepts
QubitEnergy (signal processing)PhysicsManifold (fluid mechanics)Electronic circuitNoise (video)Topology (electrical circuits)Quantum mechanicsComputer scienceStatistical physicsMathematicsQuantumCombinatoricsArtificial intelligenceEngineeringMechanical engineeringImage (mathematics)Quantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesQuantum Information and Cryptography