In those cases in which analog quantum simulation is hard or impossible, one may decompose the simulated quantum dynamics in terms of discrete quantum gates through a technique known as digital quantum simulation [2 4].
A method of simulating a model for high-temperature superconducting oxides, the t J model, by optical control, as an example of such a quantum simulation, is presented.
Quantum simulation is one of the most promising fields in quantum information science.
The superconducting setup that we are considering for this quantum simulation is composed of N transmon qubits coupled to a single resonator.
Then (F=beta^{2} ULambda^{-1}U^{dagger} ULambda^{-1}U^{dagger}arrow0), the FIM approaches the zero matrix as (beta^{2}) and thus the quantum simulation is robust.
Quantum simulation is an idea that has been at the center of quantum information science since its inception, beginning with Feynman's vision of simulating physics using quantum computers [1].
The majority of the current effort on quantum simulation is, firstly, in matching models of interest to a suitable quantum device with which to perform a simulation [49, 50].
In summary, the trapped-ion quantum simulation is able to test basic foundations of quantum mechanics, and to study both ground state properties and dynamics of complicated, long-ranged models.
Furthermore, (ULambda^{-1}U^{dagger}) is a constant matrix that is independent of the system parameters, which indicates that at high temperature the quantum simulation is completely insensitive to the nominal values of the underlying parameters.
At the time of writing, astonishing levels of control in proof-of-principle experiments (cf. the above references and citations within) suggest that quantum simulation is transitioning from a theoretical dream into a credible possibility.
