Feynman conjectured that quantum computers might be able to simulate quantum systems in a more efficient way than classical computers. Even though universal quantum computers are not feasible with current technology, quantum simulators can be used for this purpose. A quantum simulator is a controllable quantum system that mimics the dynamics or static properties of a quantum model. There are two main types of quantum simulations: analog, when the quantum simulator dynamics is governed by the same Hamiltonian of the simulated model, and digital, when the implementation of a sequence of elementary gates is required in order to obtain an evolution similar to the model one. Furthermore, digital-analog quantum simulations combine digital techniques with analog interactions, which allows us to exploit the complexity of the simulating quantum systems. In the last few years, many proposals and experimental collaborations have been realized by QUTIS group for simulating spin, fermionic, and boson models, in many quantum technologies, such us superconducting circuits, trapped ions, and quantum photonics, among others.
– Digital quantum simulations
– Analog quantum simulations
– Digital-analog quantum simulations
– Adiabatic quantum simulations
– Algorithmic quantum simulations
– Genetic algorithms for quantum simulations
– Quantum simulations of non-Markovian systems
– Quantum simulations of unphysical operations
Simulation of Fermionic lattices in trapped ions.