Local tests of global entanglement and a counterexample to the generalized area law
APA
Nagaj, D. (2015). Local tests of global entanglement and a counterexample to the generalized area law . Perimeter Institute. https://pirsa.org/15020108
MLA
Nagaj, Daniel. Local tests of global entanglement and a counterexample to the generalized area law . Perimeter Institute, Feb. 18, 2015, https://pirsa.org/15020108
BibTex
@misc{ pirsa_PIRSA:15020108, doi = {10.48660/15020108}, url = {https://pirsa.org/15020108}, author = {Nagaj, Daniel}, keywords = {Quantum Foundations, Quantum Information}, language = {en}, title = {Local tests of global entanglement and a counterexample to the generalized area law }, publisher = {Perimeter Institute}, year = {2015}, month = {feb}, note = {PIRSA:15020108 see, \url{https://pirsa.org}} }
We introduce a technique for applying quantum expanders in a distributed fashion, and use it to solve two basic questions: testing whether a bipartite quantum state shared by two parties is the maximally entangled state and disproving a generalized area law. In the process these two questions which appear completely unrelated turn out to be two sides of the same coin. Strikingly in both cases a constant amount of resources are used to verify a global property.