Two-Qubit Operations for Finite-Energy Gottesman-Kitaev-Preskill Encodings
Ivan Rojkov, Paul Moser Röggla, Martin Wagener, Moritz Fontboté-Schmidt, Stephan Welte, Jonathan Home, Florentin Reiter
Abstract
We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP) codes with finite energy, and find that operations designed for ideal infinite-energy codes create undesired entanglement when applied to physically realistic states. We demonstrate that this can be mitigated using recently developed local error-correction protocols, and evaluate the resulting performance. We also propose energy-conserving finite-energy gate implementations which largely avoid the need for further correction.
Topics & Concepts
QubitQuantum entanglementEnergy (signal processing)Computer scienceIdeal (ethics)Topology (electrical circuits)Error detection and correctionTheoretical computer scienceStatistical physicsPhysicsQuantum mechanicsAlgorithmQuantumMathematicsCombinatoricsPhilosophyEpistemologyQuantum Computing Algorithms and ArchitectureQuantum and electron transport phenomenaQuantum Information and Cryptography