I study complex quantum systems, i.e., the emergent properties of systems made of many individual quantum constituents. This embraces the properties of quantum matter, quantum field theory, and even quantum gravity. Typical problems are at the interface of quantum information science, condensed matter physics and computational physics. Sometimes one also finds interesting connections with other disciplines such as machine learning, quantum chemistry, and others.

My main focus now is the development of simulation techniques for quantum lattice systems using tensor networks, and the mathematical investigation of quantum many-body entanglement. My plan is to apply these methods to study a number of important phenomena in condensed matter physics and beyond. Examples are topological quantum order, frustrated quantum antiferromagnets, quantum dissipation, quantum transport, many-body localization, lattice gauge theories, holographic entanglement, new numerical simulation methods, the connection to artificial intelligence, and possible connections of all these topics to experiments.

If you wish to learn more about tensor networks, have a look at the reviews I have written: here, here and here.

I am also interested in quantum technologies as a whole, as well as on the physics of language. See for instance this paper on predicting financial crashes with quantum computers, this overview on quantum computing for finance, this paper on language as information renormalization, and this paper on a matrix model for syntax.

If you wish to learn more about recent and/or old research activity, have a look at my papers.

Additionally, I am also Co-founder and CSO of Multiverse Computing, the first company providing quantum software for the financial industry, as well as a partner and advisory board member of Entanglement Partners, the first consulting company in Spain and Latin America on quantum technologies.

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