Quantum simulation: From basic principles to applications

Abstract

Envisioned by Richard Feynman in the early 1980s, quantum simulation has received dramatic impetus thanks to the development of a variety of plateforms able to emulate a wide class of quantum Hamiltonians. During the past decade, most of the quantum simulators have implemented rather well-known models, hence permitting a direct comparison with theoretical calculations and a precise benchmarking of their reliability. The field has now reached a maturity such that one can address difficult problems, which cannot be solved efficiently using classical algorithms. These advances provide unprecedented opportunities to explore previously unreachable fields, test theoretical predictions, and inspire novel approaches. This contribution is an introduction to quantum simulation. It is published as a forward to the special issue on Quantum Simulation of the Comptes-Rendus de Physique of the French Academy of Sciences.

References in corpus (9)

• Quantum Simulation
• The Physical Implementation of Quantum Computation
• Many-body localization: an introduction and selected topics
• Can One Trust Quantum Simulators?
• Artificial gauge fields in materials and engineered systems
• Driven dissipative dynamics and topology of quantum impurity systems
• Spin ladders and quantum simulators for Luttinger liquids
• Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques
• Josephson Ladders as a Model System for 1D Quantum Phase Transitions

Cited by in corpus (5)

• Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
• Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
• Two-dimensional optical quasicrystal potentials for ultracold atom experiments
• Simulating frustrated antiferromagnets with quadratically driven QED cavities
• Effective tight-binding models in optical moiré potentials