Skip to content
DraconiticResearch
Search Sources API
182,469 studies31 sourcesUpdated 50 min ago
Peer-reviewedCC BY 4.0Quantum

Gottesman-Kitaev-Preskill codes: A lattice perspective

  • Jonathan Conrad
  • Jens Eisert
  • Francesco Arzani
Open at sourcePDFDOICite

Abstract

We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of stabilizer codes. We derive formal bounds on code parameters, show how different decoding strategies are precisely related, propose new ways to obtain GKP codes by means of glued lattices and the tensor product of lattices and point to natural resource savings that have remained hidden in recent approaches. We present general results that we illustrate through examples taken from different classes of codes, including scaled self-dual GKP codes and the concatenated surface-GKP code.

Related

  1. Probabilistic Error Cancellation for Single-Mode Gottesman-Kitaev-Preskill Codes
    Victoria Wadewitz, Alessandro Ciani
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  2. Composable logical gate error in approximate quantum error correction: reexamining gate implementations in Gottesman-Kitaev-Preskill codes
    Lukas Brenner, Beatriz Dias, Robert Koenig
    QuantumPeer-reviewedCC BY 4.0Full textQuantum physics & quantum informationCrossref
  3. Modeling Logical Gates and Readout of Superconducting Gottesman-Kitaev-Preskill Qubits
    Mackenzie H. Shaw, Andrew C. Doherty, Arne L. Grimsmo
    PRX QuantumPeer-reviewedCC BY 4.0Quantum physics & quantum informationAPS
  4. Remote Gottesman-Kitaev-Preskill Entanglement Generation between Trapped Ions
    Haruki Aoki, Kazufumi Tanji, Shohei Kiryu +2
    arXivPreprintCC BY-NC-ND 4.0Full textQuantum physics & quantum informationarXiv
  5. Gottesman-Kitaev-Preskill error-correction with decohered resources
    Rajendra S. Bhati, T. Bazylewicz, Jarosław K. Korbicz
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv

Cite

BibTeXRIS
BibTeX
@article{conrad2026gottesmankitaevpreskill,
  title = {{Gottesman-Kitaev-Preskill codes: A lattice perspective}},
  author = {Jonathan Conrad and Jens Eisert and Francesco Arzani},
  journal = {Quantum},
  year = {2026},
  month = sep,
  doi = {10.22331/q-2022-02-10-648},
  eprint = {2109.14645},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05732048v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Gottesman-Kitaev-Preskill codes: A lattice perspective
AU  - Jonathan Conrad
AU  - Jens Eisert
AU  - Francesco Arzani
PY  - 2026
DA  - 2026/09/16
JO  - Quantum
DO  - 10.22331/q-2022-02-10-648
UR  - https://hal.science/hal-05732048v1
AB  - We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of stabilizer codes. We derive formal bounds on code parameters, show how different decoding strategies are precisely related, propose new ways to obtain GKP codes by means of glued lattices and the tensor product of lattices and point to natural resource savings that have remained hidden in recent approaches. We present general results that we illustrate through examples taken from different classes of codes, including scaled self-dual GKP codes and the concatenated surface-GKP code.
SN  - 2521-327X
ER  -