Universal quantum Hamiltonians

Quantum spin liquid states

(2017) Yi Zhou et al.   REVIEWS OF MODERN PHYSICS

On Complexity of the Quantum Ising Model

(2016) Sergey Bravyi et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Simple universal models capture all classical spin physics

(2016) Gemma De las Cuevas et al.   SCIENCE

Complexity Classification of Local Hamiltonian Problems

(2016) Toby Cubitt et al.   SIAM JOURNAL ON COMPUTING

A quantum annealing architecture with all-to-all connectivity from local interactions

(2015) W. Lechner et al.   Science Advances

Quantum simulation

(2014) I. M. Georgescu et al.   REVIEWS OF MODERN PHYSICS

Goals and opportunities in quantum simulation

(2012) J. Ignacio Cirac et al.   Nature Physics

Completeness of classicalφ4theory on two-dimensional lattices

(2012) Vahid Karimipour et al.   PHYSICAL REVIEW A

Can one trust quantum simulators?

(2012) Philipp Hauke et al.   REPORTS ON PROGRESS IN PHYSICS

Single-atom-resolved fluorescence imaging of an atomic Mott insulator

(2010) Jacob F. Sherson et al.   NATURE

The Power of Quantum Systems on a Line

(2009) Dorit Aharonov et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Completeness of classical spin models and universal quantum computation

(2009) Gemma De las Cuevas et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

In situ observation of incompressible Mott-insulating domains in ultracold atomic gases

(2009) Nathan Gemelke et al.   NATURE

A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice

(2009) Waseem S. Bakr et al.   NATURE

Computational complexity of interacting electrons and fundamental limitations of density functional theory

(2009) Norbert Schuch et al.   Nature Physics

Realizable Hamiltonians for universal adiabatic quantum computers

(2008) Jacob D. Biamonte et al.   PHYSICAL REVIEW A

Completeness of the Classical 2D Ising Model and Universal Quantum Computation

(2008) M. Van den Nest et al.   PHYSICAL REVIEW LETTERS