Testing quantum states
APA
Soleimanifar, M. (2023). Testing quantum states. Perimeter Institute. https://pirsa.org/23050151
MLA
Soleimanifar, Mehdi. Testing quantum states. Perimeter Institute, May. 24, 2023, https://pirsa.org/23050151
BibTex
@misc{ pirsa_PIRSA:23050151, doi = {10.48660/23050151}, url = {https://pirsa.org/23050151}, author = {Soleimanifar, Mehdi}, keywords = {Quantum Information}, language = {en}, title = {Testing quantum states}, publisher = {Perimeter Institute}, year = {2023}, month = {may}, note = {PIRSA:23050151 see, \url{https://pirsa.org}} }
In this talk, I will present three algorithms that address distinct variants of the problem of testing quantum states. First, I will discuss the problem of statistically testing whether an unknown quantum state is a matrix product state of certain bond dimension or it is far from all such states. Next, I will demonstrate a method for testing whether a bipartite quantum state, shared between two parties, corresponds to the ground state of a given gapped local Hamiltonian. Finally, I will present a scheme for verifying that a machine learning model of an unknown quantum state has high overlap with the actual state.
Zoom Link: https://pitp.zoom.us/j/99250127489?pwd=UCtXUi9zMzJZamppT29DbWtJcWU3Zz09