PIRSA:14070008 Conference

DOI10.48660/14070008

Conference/School: International Workshop on Quantum LDPC Codes

Raussendorf, R. (2014). Quantum codes – from experimental realizations to quantum foundations. Perimeter Institute. https://pirsa.org/14070008

Raussendorf, Robert. Quantum codes – from experimental realizations to quantum foundations. Perimeter Institute, Jul. 15, 2014, https://pirsa.org/14070008 

@misc{ pirsa_PIRSA:14070008,
  doi = {10.48660/14070008},
  url = {https://pirsa.org/14070008},
  author = {Raussendorf, Robert},
  keywords = {},
  language = {en},
  title = {Quantum codes {\textendash} from experimental realizations to quantum foundations},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {jul},
  note = {PIRSA:14070008 see, \url{https://pirsa.org}}
}

Abstract

This talk is divided into two parts. In the first part, I discuss a scheme of fault-tolerant quantum computation for a web-like physical architecture of a quantum computer. Small logical units of a few qubits (realized in ion traps, for example) are linked via a photonic interconnect which provides probabilistic heralded Bell pairs [1]. Two time scales compete in this system, namely the characteristic decoherence time T_D and the typical time T_E it takes to provide a Bell pair. We show that, perhaps unexpectedly, this system can be used for fault-tolerant quantum computation for all values of the ratio T_D/T_E.

The second part of my talk is about something entirely different, namely the role of contextuality in quantum computation by magic state distillation. Recently, Howard et al. [2] have shown that contextuality is a necessary resource for such computation on qudits of odd prime dimension. Here we provide an analogous result for 2-level systems.
However, we require them to be rebits. [joint work with Jake Bian, Philippe Guerin and Nicolas Delfosse]

[1] C. Monroe, R. Raussendorf, A. Ruthven, K. R. Brown, P. Maunz4, L.-M.
Duan, and J. Kim, , Phys Rev A 89, 22317 (2014).

[2] Mark Howard, Joel Wallman, Victor Veitch & Joseph Emerson, Nature
doi:10.1038/nature13460 (2014).

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