Trotter Errors from Dynamical Structural Instabilities of Floquet Maps in Quantum Simulation
Karthik Chinni, Manuel H. Muñoz-Arias, Ivan Deutsch, Pablo M. Poggi
Abstract
Even small Trotter step sizes can lead to significant errors in the quantum simulation of spin systems, revealing a crucial interplay between physical properties of the simulated Hamiltonian and the Trotterized evolution.
Topics & Concepts
Floquet theoryHamiltonian (control theory)Operator (biology)InstabilityPhysicsQuantum simulatorQuantumUnitary operatorStatistical physicsIsing modelUnitary stateQuantum mechanicsQuantum computerMathematicsHilbert spaceMathematical optimizationBiochemistryRepressorPolitical scienceChemistryGeneTranscription factorNonlinear systemLawQuantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography