Assistant Professor

Department Systems Engineering and Automation

Technical University of Cartagena

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Phone: 0034 968 32 53 59

**Research Overview:**

My research interests hover over the study of entanglement in strongly coupled quantum many body systems. This research area, naturally bridges between quantum information, condensed matter physics and computational physics. It has become increasingly evident that the relevance of entanglement theory goes well beyond the area of quantum information and computation. Indeed, some measures of entanglement can be used as useful probes of collective properties of many-body systems. For instance, certain measures are capable of detecting and classifying ground-state phases and, particularly, critical points separating such phases. This progress in our understanding of entanglement has also led to breakthrough simulation algorithms for strongly correlated systems by using tensor networks.

Research Interests

Many Body Entanglement and Quantum Information

This part of the research focus on entanglement in many-body systems and its use as a potential resource for QI protocols. Basically, we are interested in the question of how a substantial amount of entanglement can be established between distant subsystems inside a many body system, and how efficiently this entanglement could be 'harvested' by way of measurements. On the other hand we are also interested in characterizing the entanglement between disjoint regions of a quantum many body system at criticality, where, despite the enormous complexity of these systems, collective properties including entanglement no longer depend crucially on the microscopic details.

Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements. Francis N. C. Paraan, Javier Molina-Vilaplana, Vladimir E. Korepin, Sougato Bose. arXiv:1105.1211

Extraction of Pure Entangled States from Many Body Systems by Distant Local Projections. J. Molina-Vilaplana, H. Wichterich, V. E. Korepin, S. Bose. Phys. Rev. A 79, 062310 (2009) arXiv:0903.4553

Scaling of entanglement between separated blocks in spin chains at criticality. H. Wichterich, J. Molina-Vilaplana, S. Bose. Phys. Rev. A 80, 010304(R) (2009) arXiv:0811.1285

Pure state entanglement between separated regions using impenetrable bosons. J. Molina-Vilaplana, V. E. Korepin, S. Bose. Int J. of Quant Inf, Vol. 6 (2008) 739-744.

Holographic approach to Quantum Information in Quantum Field Theory

The gauge/gravity dualities of modern string theory, come from an idea about quantum information, namely that the amount of information an object can store is bounded by its surface area in Planck units. A more refined version of this statement establishes that certain gravitational theories, defined on spacetimes with boundaries, are equivalent to non-gravitational, strongly coupled (i.e. highly quantum) field theories living on the boundary.

One of my main interests is to understand what is the structure of quantum entanglement stored in strongly coupled quantum field theories that can be described by an holographic dual theory. In this context, a very valuable correspondence between quantum entanglement and classical geometry was conjectured by Ryu and Takayanagi, who proposed that the entanglement entropy of any given region in the boundary field theory is equal to the area in Planck units of a corresponding minimal surface in the dual gravitational geometry.

My current work is focused on exploiting the intriguing observation that some class of tensor networks happen to be some sort of realization of the holographic AdS/CFT correspondence and the striking relationship between the Ryu – Takayanagi approach and the computation of the entanglement entropy in these tensor networks. We have use these correspondences to justify that, a previously predicted transition in the behavior of the quantum correlations between two disjoint regions of the boundary critical theory, may be easily accounted by an holographic dual space-time consisting in an AdS black hole.

**Holographic View on Quantum Correlations and Mutual Information between Disjoint Blocks of a Quantum Critical System. Javier Molina-Vilaplana, Pasquale Sodano. arXiv:1108.1277v1**