Classical algorithms for many-body quantum systems at finite energies
Yilun Yang, J. I. Cirac, Mari Carmen Bañuls
Abstract
Properties of quantum many-body systems at finite energy densities, such as microcanonical averages, are in general difficult to compute with classical algorithms. Quantum algorithms that combine quantum dynamics with filtering and sampling techniques can however access some of these quantities. Here, the authors show that simulating the time evolution part with tensor networks provides quantum-inspired classical algorithms that reach much larger systems than other numerical methods.
Topics & Concepts
QuantumQuantum algorithmComputer scienceAlgorithmQuantum dynamicsStatistical physicsQuantum phase estimation algorithmTheoretical computer scienceQuantum processPhysicsQuantum mechanicsQuantum many-body systemsQuantum Computing Algorithms and ArchitectureQuantum, superfluid, helium dynamics