PIRSA:10040029 Scientific Series Quantum Information

DOI10.48660/10040029

Series: Perimeter Institute Quantum Discussions

Brun, T. (2010). Adding entanglement to quantum error-correcting codes. Perimeter Institute. https://pirsa.org/10040029

Brun, Todd. Adding entanglement to quantum error-correcting codes. Perimeter Institute, Apr. 14, 2010, https://pirsa.org/10040029 

@misc{ pirsa_PIRSA:10040029,
  doi = {10.48660/10040029},
  url = {https://pirsa.org/10040029},
  author = {Brun, Todd},
  keywords = {Quantum Information},
  language = {en},
  title = {Adding entanglement to quantum error-correcting codes},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {apr},
  note = {PIRSA:10040029 see, \url{https://pirsa.org}}
}

Abstract

Shared entanglement between sender and receiver can enable more errors to be corrected than with a standard quantum error-correcting code. This extra error correction can be used either to boost the rate of the code--commonly seen in quantum codes constructed from classical linear codes--or to increase the error-correcting power of the code (as represented by, for example, the code distance). We will see how adding extra entanglement to a given quantum code can increase its distance, and discuss the optimization problem in maximizing the effectiveness of a given amount of added entanglement. We will also briefly examine some applications of entanglement-assistance to particular types of codes, such as LDPC codes and convolutional codes.

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