Abstract algebra, projective geometry and time encoding of quantum information.

@article{Planat2005AbstractAP,
  title={Abstract algebra, projective geometry and time encoding of quantum information.},
  author={M. Planat and M. Saniga},
  journal={arXiv: Quantum Physics},
  year={2005},
  pages={409-426}
}
Algebraic geometrical concepts are playing an increasing role in quantum applications such as coding, cryptography, tomography and computing. We point out here the prominent role played by Galois fields viewed as cyclotomic extensions of the integers modulo a prime characteristic $p$. They can be used to generate efficient cyclic encoding, for transmitting secrete quantum keys, for quantum state recovery and for error correction in quantum computing. Finite projective planes and their… Expand

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