Quantum Field Theory in the Quantum Information Age
APA
Scholz, V. (2017). Quantum Field Theory in the Quantum Information Age. Perimeter Institute. https://pirsa.org/17020103
MLA
Scholz, Volkher. Quantum Field Theory in the Quantum Information Age. Perimeter Institute, Feb. 23, 2017, https://pirsa.org/17020103
BibTex
@misc{ pirsa_PIRSA:17020103, doi = {10.48660/17020103}, url = {https://pirsa.org/17020103}, author = {Scholz, Volkher}, keywords = {Other}, language = {en}, title = {Quantum Field Theory in the Quantum Information Age}, publisher = {Perimeter Institute}, year = {2017}, month = {feb}, note = {PIRSA:17020103 see, \url{https://pirsa.org}} }
Quantum Field Theories are interacting quantum systems described by an infinite number of degrees of freedom, necessarily living on an infinite-dimensional Hilbert space. Hence, many concepts from Quantum Information Theory have to be adapted before they can be applied to this setting. However, the task is worthwhile as we obtain new tools to understand the entanglement structure of theories describing the fundamental forces of nature. I will outline two approaches along this route, one bottom-down and one bottom-up strategy. First, general Lorentz invariant quantum fields are studied from a quantum information perspective. Second, I discuss the use of tensor networks to model the entanglement structure of quantum fields. The combination of both approaches yields new insights into Quantum Field Theory from an information theoretic point of view. I will end my talk by giving an outlook into future research directions.