PIRSA:06020008

Entanglement loss properties and classical simulability of quantum many-body systems

Orus, R. (2006). Entanglement loss properties and classical simulability of quantum many-body systems. Perimeter Institute. https://pirsa.org/06020008

Orus, Roman. Entanglement loss properties and classical simulability of quantum many-body systems. Perimeter Institute, Feb. 06, 2006, https://pirsa.org/06020008 

          @misc{ pirsa_PIRSA:06020008,
            doi = {10.48660/06020008},
            url = {https://pirsa.org/06020008},
            author = {Orus, Roman},
            keywords = {Quantum Information},
            language = {en},
            title = {Entanglement loss properties and classical simulability of quantum many-body systems},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {feb},
            note = {PIRSA:06020008 see, \url{https://pirsa.org}}
          }

Roman Orus University of the Basque Country

Talk numberPIRSA:06020008
DOI10.48660/06020008
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk I will expose different results concerning the properties of quantum many-body systems: on the one hand, I will introduce the concept of fine-grained entanglement loss together with its relation with majorization relations along parameter flows and Renormalization Group flows. The machinery of Conformal Field Theory will allow us to derive very general analytical properties, and some examples -like the XY quantum spin chain- will also be considered. On the other hand, I will describe results concerning the classical simulability of quantum many-body systems by means of Matrix Product States. In particular, I will present an approximated classical simulation of a quantum algorithm by adiabatic evolution solving hard instances of an NP-Complete problem up to 100 qubits.