Classically optimized Hamiltonian simulation
Conor Mc Keever, Michael Lubasch
Abstract
Hamiltonian simulation is a promising application for quantum computers to achieve a quantum advantage. We present classical algorithms based on tensor network methods to optimize quantum circuits for this task. We show that, compared to Trotter product formulas, the classically optimized circuits can be orders of magnitude more accurate and significantly extend the total simulation time.
Topics & Concepts
Hamiltonian (control theory)QuantumComputer scienceElectronic circuitQuantum simulatorTensor productQuantum computerComputational scienceAlgorithmStatistical physicsPhysicsMathematicsQuantum mechanicsMathematical optimizationPure mathematicsQuantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography