PIRSA:23050151 Scientific Series Quantum Information

DOI10.48660/23050151

Conference/School: Quantum Information in Quantum Gravity II

Soleimanifar, M. (2023). Testing quantum states. Perimeter Institute. https://pirsa.org/23050151

Soleimanifar, Mehdi. Testing quantum states. Perimeter Institute, May. 24, 2023, https://pirsa.org/23050151 

@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}}
}

Abstract

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

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