Good Gottesman-Kitaev-Preskill Codes from the NTRU Cryptosystem

Good Gottesman-Kitaev-Preskill Codes from the NTRU Cryptosystem

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Intro

1 of 14

1 of 14

Intro

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Good Gottesman-Kitaev-Preskill Codes from the NTRU Cryptosystem

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  1. 1 Intro
  2. 2 A brief (incomplete) history of Gottesman-Kitaev-Preskill Codes
  3. 3 GKP codes →→ Lattice theory
  4. 4 GKP Code constructions
  5. 5 Random GKP Codes
  6. 6 The NTRU Cryptosystem as R-Lattice
  7. 7 NTRU Lattice is q-symplectic!
  8. 8 Distance of NTRU-GKP
  9. 9 The Decoding Problem
  10. 10 Basis dependency
  11. 11 Decoding NTRU-GKP
  12. 12 CVP-decoding on NTRU lattices
  13. 13 NTRU-GKP Private Quantum Channel
  14. 14 Summary + Future?

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