Efficient certification and simulation of local quantum many-body Hamiltonians
Milan Holz\"apfel, Martin B. Plenio
TL;DR
This paper presents methods for efficiently simulating and certifying the dynamics of local quantum many-body Hamiltonians across arbitrary lattice dimensions, extending previous one-dimensional results.
Contribution
It generalizes existing simulation and certification techniques from 1D systems to higher-dimensional lattices, broadening their applicability.
Findings
Extended simulation methods to arbitrary dimensions
Provided certification protocols for quantum dynamics
Demonstrated efficiency in complex lattice systems
Abstract
We discuss efficient simulation and certification of the dynamics induced by a quantum many-body Hamiltonian with short-ranged interactions, extending prior results for one-dimensional systems [Osborne, Phys. Rev. Lett. 97, 157202 (2006) and Lanyon, Maier et al, Nat. Phys. 13, 1158 (2017)] to lattices in arbitrary spatial dimensions.
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Taxonomy
TopicsQuantum many-body systems · Cold Atom Physics and Bose-Einstein Condensates · Opinion Dynamics and Social Influence