PIRSA:18020095 Scientific Series Quantum Information

DOI10.48660/18020095

Series: Perimeter Institute Quantum Discussions

Gosset, D. (2018). Classical simulation of quantum circuits via stabilizer rank. Perimeter Institute. https://pirsa.org/18020095

Gosset, David. Classical simulation of quantum circuits via stabilizer rank. Perimeter Institute, Feb. 07, 2018, https://pirsa.org/18020095 

@misc{ pirsa_PIRSA:18020095,
  doi = {10.48660/18020095},
  url = {https://pirsa.org/18020095},
  author = {Gosset, David},
  keywords = {Quantum Information},
  language = {en},
  title = {Classical simulation of quantum circuits via stabilizer rank},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {feb},
  note = {PIRSA:18020095 see, \url{https://pirsa.org}}
}

Abstract

Stabilizer states are a rich class of quantum states which can be efficiently classically represented and manipulated. In this talk I will describe some ways in which they can help us to represent and manipulate more general quantum states. I will discuss classical simulation algorithms for quantum circuits which are based on expressing a quantum state as a superposition of (as few as possible) stabilizer states.

Based on arXiv:1601.07601 (with Sergey Bravyi) and work in progress with Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell and Mark Howard.

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