I will review our recent proposals for the digital quantum simulations of spins, fermions, and fermions coupled to bosons, with trapped-ion quantum platforms. We will revise how to employ multi-qubit gates to perform digital-analog implementations of Heisenberg models, Fermi Hubbard model, as well as the Holstein model. Trapped ions represent one of the most promising quantum platforms for digital quantum computation and simulation, enabling the future study of quantum systems that are intractable for classical computers.
1) Dr. Lamata studied Physics at Universidad Complutense de Madrid, and got his PhD at Universidad Autónoma de Madrid, obtaining the First Extraordinary Prize for a PhD in Physics in 2007 in this University.
2)Dr. Lamata was then a Humboldt Research Fellow in Prof. Ignacio Cirac's Group at the Max-Planck-Institut für Quatenoptik, were he was later Max-Planck Postdoctoral Fellow.
3) Dr. Lamata is currently a Marie Curie IEF Postdoctoral Fellow at Prof. Enrique Solano's QUTIS Group in Universidad del País Vasco UPV/EHU Bilbao, Spain. He is the second in the hierarchy of the Group, having responsibilities in scientific, grant application, grant management, and student supervision activities.
4) Dr. Lamata is one of the pioneers on the topic of quantum simulations of relativistic quantum systems in trapped ions, having also been at the core of the proposals for simulating fermionic interactions, fermions coupled to bosons, and quantum field theories, in trapped ions.
5) Dr. Lamata has also pioneering works on entanglement generation, characterization and classification, that have achieved a considerable impact over the last few years.
6) Dr. Lamata published over 40 papers, of which over 16 are Physical Review Letters.