PIRSA:20020060 Scientific Series Other

DOI10.48660/20020060

Series: Perimeter Institute Quantum Discussions

Zhou, S. (2020). The theory of entanglement-assisted quantum metrology. Perimeter Institute. https://pirsa.org/20020060

Zhou, Sisi. The theory of entanglement-assisted quantum metrology. Perimeter Institute, Feb. 12, 2020, https://pirsa.org/20020060 

@misc{ pirsa_PIRSA:20020060,
  doi = {10.48660/20020060},
  url = {https://pirsa.org/20020060},
  author = {Zhou, Sisi},
  keywords = {Other},
  language = {en},
  title = {The theory of entanglement-assisted quantum metrology},
  publisher = {Perimeter Institute},
  year = {2020},
  month = {feb},
  note = {PIRSA:20020060 see, \url{https://pirsa.org}}
}

Abstract

The quantum Fisher information (QFI) measures the amount of information that a quantum state carries about an unknown parameter. Given a quantum channel, its entanglement-assisted QFI is the maximum QFI of the output state assuming an input state over the system and an arbitrarily large ancilla. Consider N identical copies of a quantum channel, the channel QFI grows either linearly or quadratically with N asymptotically. Here we obtain a simple criterion that determines whether the scaling is linear or quadratic. In both cases, we found a quantum error correction protocol achieving the channel QFI asymptotically and an SDP to solve the optimal code.

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