TR2026-129

Base-Preserving APM/Voltage Lifts of Bivariate Bicycle Quantum LDPC Codes

    •  Nourozi, V., Mitchell, D., Koike-Akino, T., "Base-Preserving APM/Voltage Lifts of Bivariate Bicycle Quantum LDPC Codes", IEEE International Conference on Quantum Computing and Engineering (QCE), September 2026.
      BibTeX TR2026-129 PDF
      • @inproceedings{Nourozi2026sep,
      • author = {Nourozi, Vahid and Mitchell, David and Koike-Akino, Toshiaki},
      • title = {{Base-Preserving APM/Voltage Lifts of Bivariate Bicycle Quantum LDPC Codes}},
      • booktitle = {IEEE International Conference on Quantum Computing and Engineering (QCE)},
      • year = 2026,
      • month = sep,
      • url = {https://www.merl.com/publications/TR2026-129}
      • }
  • MERL Contact:
  • Research Area:

    Signal Processing

Abstract:

Bivariate-bicycle (BB) quantum LDPC codes are compact Calderbank–Shor–Steane (CSS) codes with sparse checks and strong finite-length performance. Standard BB codes represent each monomial x^a * y^b by a two-coordinate circulant permutation matrix, so that the CSS condition follows from commutation of the x and y shifts. We summarize a basepreserving affine-permutation/voltage-lift extension of BB codes. Each base monomial is replaced by a lifted monomial acting on a three-coordinate permutation. The novelty is the BB-compatible use of these lifted monomials. We demonstrate that the voltage lifting can effectively remove short cycles.