Long-range entangled many-body states
APA
Haah, J. (2015). Long-range entangled many-body states. Perimeter Institute. https://pirsa.org/15110080
MLA
Haah, Jeongwan. Long-range entangled many-body states. Perimeter Institute, Nov. 11, 2015, https://pirsa.org/15110080
BibTex
@misc{ pirsa_PIRSA:15110080, doi = {10.48660/15110080}, url = {https://pirsa.org/15110080}, author = {Haah, Jeongwan}, keywords = {Other}, language = {en}, title = {Long-range entangled many-body states}, publisher = {Perimeter Institute}, year = {2015}, month = {nov}, note = {PIRSA:15110080 see, \url{https://pirsa.org}} }
A quantum entanglement is a special kind of correlation; it may yield a strong correlation that is not possible in a classical ensemble, or hide the correlation from all local observables. Especially important is the entanglement that arises from local interactions for its implications in many-body physics and future’s quantum technologies.
I will review a few characteristics of entangled qubits in connection to fault-tolerant quantum information processing, and present a class of long-range entangled many-body states that are ground states of gapped local Hamiltonians on lattices. The class is qualitatively unconventional in many ways, and substantially boosts the richness of many-body entanglement. Implications in mechanisms of localization, renormalization group flow, quantum information storage, and topological order will be discussed.