Skip to content
DraconiticResearch
Search Sources API
190,851 studies31 sourcesUpdated 43 min ago
PreprintarXiv licencearXiv

Frequency-Multiplexed Parallel Gates for Quantum LDPC Codes in a Two-Dimensional Ion Crystal

  • G. -X. Tang
  • L. -M. Duan
  • Y. -K. Wu
Open at sourcePDFDOICite

Abstract

Quantum low-density parity-check (qLDPC) codes admit high encoding rates but require nonlocal entangling gates for syndrome measurement. Instead of physically moving the qubits which slows down with the increasing qubit number, here we propose to achieve parallel nonlocal entangling gates on a two-dimensional (2D) ion crystal using frequency-multiplexing. Adiabatic conditions ensure the suppression of gate infidelity and crosstalk error, as well as their robustness against slow drift in the trap frequency which is a leading error source in ion trap. We consider a numerical example of a $[[248,10,18]]$ bivariate bicycle code on a 2D crystal of 512 ions. By optimizing the mapping of the qubits and the assignment of the frequency bands for multiplexing, we show that a moderate laser power is sufficient for parallelism, and that a logical error rate of 10−12 can be achieved under realistic noise parameters.

Related

  1. Photon triplets for quantum optics generated by phase-matched third-order difference-frequency mixing in a KTiOPO4 bulk crystal pumped at 532 nm
    Gaspar Mougin-Trichon, Véronique Boutou, Corinne Felix +2
    Optics ContinuumPeer-reviewedCC BY 4.0Full textOptics & photonicsHAL
  2. Quantum analysis of a multi-frequency laser with a photonic time crystal
    Igor Protsenko, Alexander Uskov
    arXivPreprintarXiv licenceFull textOptics & photonicsarXiv
  3. Bipolarized Weyl semimetals and quantum crystal valley Hall effect in two-dimensional altermagnetic materials
    Chaoyang Tan, Ze-Feng Gao, Huan-Cheng Yang +3
    Physical review. B./Physical review. BPeer-reviewedLicence not statedFull text12 citedAtomic, molecular & optical physicsOpenAlex
  4. Opportunistic full reconstruction of 100-dimensional frequency-bin quantum states
    Hanson H. Nguyen, Zachary Goisman, Chen-You Su +5
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  5. Frequency-Multiplexed Photonic Reservoir Computing with a Synchronously Pulse-Driven Optical Cavity
    Amir Arsalan Arabieh, Simon-Pierre Gorza, Serge Massar
    arXivPreprintarXiv licenceFull textOptics & photonicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{tang2026frequencymultiplexed,
  title = {{Frequency-Multiplexed Parallel Gates for Quantum LDPC Codes in a Two-Dimensional Ion Crystal}},
  author = {G. -X. Tang and L. -M. Duan and Y. -K. Wu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04081},
  eprint = {2609.04081},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04081},
}
RIS
TY  - UNPB
TI  - Frequency-Multiplexed Parallel Gates for Quantum LDPC Codes in a Two-Dimensional Ion Crystal
AU  - G. -X. Tang
AU  - L. -M. Duan
AU  - Y. -K. Wu
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.04081
UR  - https://arxiv.org/abs/2609.04081
AB  - Quantum low-density parity-check (qLDPC) codes admit high encoding rates but require nonlocal entangling gates for syndrome measurement. Instead of physically moving the qubits which slows down with the increasing qubit number, here we propose to achieve parallel nonlocal entangling gates on a two-dimensional (2D) ion crystal using frequency-multiplexing. Adiabatic conditions ensure the suppression of gate infidelity and crosstalk error, as well as their robustness against slow drift in the trap frequency which is a leading error source in ion trap. We consider a numerical example of a $[[248,10,18]]$ bivariate bicycle code on a 2D crystal of 512 ions. By optimizing the mapping of the qubits and the assignment of the frequency bands for multiplexing, we show that a moderate laser power is sufficient for parallelism, and that a logical error rate of 10^−12 can be achieved under realistic noise parameters.
ER  -