This project's main goal is the theoretical design of a quantum simulator of magnetism that makes use of current technology for the manipulation of trapped ions. The implementation of this idea would lead to the simulation of complex spin models that are not well understood, and also to the first observation of quantum phase transitions in a system of trapped ions. The project will pursue the following objectives: (1) Elaboration of methods and protocols that experimentalists working with trapped ions can follow in order to simulate quantum magnetism, and description of the optimum conditions to minimize errors during the quantum simulation. (2) Description of the many-body state of the effective spin models to be simulated in ion traps, and, in particular , of the quantum phase transitions. Calculation of critical exponents, and properties of spin systems that can be translated into experimental observables of trapped ions (effective magnetization, and correlation functions, for example). (3) Design of pro posals for the manipulation of the quantum state of the effective spins for entanglement creation and transmission of quantum information. Our project would lead to one of the first applications of the techniques developed in the field of the implementatio ns of Quantum Information, and would fill the gap that separates current experiments from the long-term goal of quantum computation.
Call for proposal
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