Classical Algorithm for the Mean Value problem over Short-Time Hamiltonian Evolutions

Autor: Saem, Reyhaneh Aghaei, Moosavian, Ali Hamed
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Simulating physical systems has been an important application of classical and quantum computers. In this article we present an efficient classical algorithm for simulating time-dependent quantum mechanical Hamiltonians over constant periods of time. The algorithm presented here computes the mean value of an observable over the output state of such short-time Hamiltonian evolutions. In proving the performance of this algorithm we use Lieb-Robinson type bounds to limit the evolution of local operators within a lightcone. This allows us to divide the task of simulating a large quantum system into smaller systems that can be handled on normal classical computers.
Databáze: arXiv