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PreprintarXiv licencearXiv

First fault-tolerant quantum memory demonstration for a generalized superfast encoding

  • James Brown
  • Kenny Heitritter
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Abstract

The Generalized Superfast Encoding (GSE) is a fermion-to-qubit mapping that has error-correcting/detecting properties. To this point, all demonstrations have been relegated to error-detection only, as no fault-tolerance under circuit-level noise has been observed. Here, we introduce an even-distance d constant stabilizer-weight GSE where each of N modes is assigned a d-qubit block arranged on a ring. The resulting stabilizer generators have constant weight 4 or 6 for any even distance d. Furthermore, the full stabilizer set of this construction can always be partitioned into four qubit-wise commuting groups, which enables compact syndrome-extraction scheduling. We simulate quantum memory experiments under circuit-level depolarizing noise for two instances of this code, $[[48,8,6]]$ and $[[64,8,8]]$ and the threshold is observed to be ≈ 4×10−3. This is, to our knowledge, the first fault-tolerant quantum-memory characterization of a fermion-mapping with threshold-like scaling.

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Cite

BibTeXRIS
BibTeX
@misc{brown2026first,
  title = {{First fault-tolerant quantum memory demonstration for a generalized superfast encoding}},
  author = {James Brown and Kenny Heitritter},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08957},
  eprint = {2609.08957},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08957},
}
RIS
TY  - UNPB
TI  - First fault-tolerant quantum memory demonstration for a generalized superfast encoding
AU  - James Brown
AU  - Kenny Heitritter
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08957
UR  - https://arxiv.org/abs/2609.08957
AB  - The Generalized Superfast Encoding (GSE) is a fermion-to-qubit mapping that has error-correcting/detecting properties. To this point, all demonstrations have been relegated to error-detection only, as no fault-tolerance under circuit-level noise has been observed. Here, we introduce an even-distance d constant stabilizer-weight GSE where each of N modes is assigned a d-qubit block arranged on a ring. The resulting stabilizer generators have constant weight 4 or 6 for any even distance d. Furthermore, the full stabilizer set of this construction can always be partitioned into four qubit-wise commuting groups, which enables compact syndrome-extraction scheduling. We simulate quantum memory experiments under circuit-level depolarizing noise for two instances of this code, $[[48,8,6]]$ and $[[64,8,8]]$ and the threshold is observed to be ≈ 4×10^−3. This is, to our knowledge, the first fault-tolerant quantum-memory characterization of a fermion-mapping with threshold-like scaling.
ER  -