The Penrose Tiling is a Quantum Error-Correcting Code

category

preprint

peer Reviewed

false

basis

Theoretical preprint; version 2. This is not a clinical efficacy trial.

sources

https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

reviewed At

2026-10-26

score

Not recorded

scope

Paper

status

not-applicable

randomized Controlled Trial

Not recorded

blinding

not-confirmed

peer Reviewed

false

basis

This record is outside the paper-rating criteria or has unresolved publication identity.

sources

https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

review Scope

Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.

assessed At

2026-10-27

status

not-applicable

score

Not recorded

reason

Not a human randomised clinical trial.

evidence Type

Theoretical preprint; version 2

evidence Class

quantum_error_correction_preprint

measurement

Quantum information stored in a tiling-based code with local indistinguishability and recoverability.

relationship Note

Study the explicit Fibonacci-tiling code and compare its mathematical requirements with our sequence representations before proposing a hardware mapping.

clinical Evidence

false

review Depth

Publisher or author abstract and bibliographic metadata; selected explanatory sections where available.

hypothesis Boundary

Connections to M9 P24, Alpha, Beta, Gamma and Epsilon remain research hypotheses. Shared geometry does not establish a shared physical mechanism.

count

Not recorded

source

Not available

retrieved At

2026-10-26

general

Not recorded

https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

general

Quantum computing · Geometry and information

count

Not recorded

source

Not available

retrieved At

2026-10-26

category

preprint

peer Reviewed

false

basis

Theoretical preprint; version 2. This is not a clinical efficacy trial.

sources

https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

reviewed At

2026-10-26

score

Not recorded

scope

Paper

status

not-applicable

randomized Controlled Trial

Not recorded

blinding

not-confirmed

peer Reviewed

false

basis

This record is outside the paper-rating criteria or has unresolved publication identity.

sources

https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

review Scope

Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.

assessed At

2026-10-27

general

Not recorded

1. key

   general:quantum-tilings

   title

   Quasicrystals and Fibonacci tilings

   collection

   general

   trust Score

   Not recorded

1. id

   general-quantum-tilings-quantum-penrose-fibonacci-code-2024

   title

   The Penrose Tiling is a Quantum Error-Correcting Code

   doi

   10.48550/arXiv.2311.13040

   pmid

   Not recorded

   journal

   arXiv

   year

   2024

   published

   2024-01-25

   authors

   Zhi Li; Latham Boyle

   urls

   https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

   collections

   general

   categories

   Quantum computing · Geometry and information

   targets

   None recorded

   origin

   geometry-literature-20261026

   priority

   1

   kind

   Preprint

   design

   Theoretical preprint; version 2

   summary

   Li and Boyle construct quantum error-correcting codes from Penrose tilings and variants based on Ammann–Beenker and Fibonacci tilings. Their construction connects nonperiodic geometric structure with the ability to recover information after local errors or erasures.

   finding

   Li and Boyle construct quantum error-correcting codes from Penrose tilings and variants based on Ammann–Beenker and Fibonacci tilings. Their construction connects nonperiodic geometric structure with the ability to recover information after local errors or erasures.

   limitation

   This is a mathematical construction in a preprint, not an experimental demonstration on Aquila. Its Fibonacci tilings are different from the Atlas M9 P24 sequences. A physical implementation and its resource requirements remain separate questions.

   citation Count

   Not recorded

   citation Snapshot

   count

   Not recorded

   source

   Not available

   retrieved At

   2026-10-26

   study Design Assessment

   category

   preprint

   peer Reviewed

   false

   basis

   Theoretical preprint; version 2. This is not a clinical efficacy trial.

   sources

   https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

   reviewed At

   2026-10-26

   evidence

   evidence Type

   Theoretical preprint; version 2

   evidence Class

   quantum_error_correction_preprint

   measurement

   Quantum information stored in a tiling-based code with local indistinguishability and recoverability.

   relationship Note

   Study the explicit Fibonacci-tiling code and compare its mathematical requirements with our sequence representations before proposing a hardware mapping.

   clinical Evidence

   false

   review Depth

   Publisher or author abstract and bibliographic metadata; selected explanatory sections where available.

   hypothesis Boundary

   Connections to M9 P24, Alpha, Beta, Gamma and Epsilon remain research hypotheses. Shared geometry does not establish a shared physical mechanism.

   jadad

   status

   not-applicable

   score

   Not recorded

   reason

   Not a human randomised clinical trial.

   quotes

   None recorded

   archive Entries

   None recorded

   verified At

   2026-10-26

   source Provenance

   origin

   Verified follow-up to Gemini research notes

   notion Page

   https://app.notion.com/p/4047b9c99c5680ddb35ec2e2edf83ee4

   reviewed At

   2026-10-26

   record Id

   quantum-penrose-fibonacci-code-2024

   source Pages

   None recorded

   paper Trust Assessment

   score

   Not recorded

   scope

   Paper

   status

   not-applicable

   randomized Controlled Trial

   Not recorded

   blinding

   not-confirmed

   peer Reviewed

   false

   basis

   This record is outside the paper-rating criteria or has unresolved publication identity.

   sources

   https://arxiv.org/abs/2311.13040v2 · https://doi.org/10.48550/arXiv.2311.13040

   review Scope

   Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.

   assessed At

   2026-10-27

   publication Key

   doi:10.48550/arxiv.2311.13040

   collection

   general

   chapter Number

   10

   topic Id

   quantum-tilings

   topic Title

   Quasicrystals and Fibonacci tilings

   trust Score

   Not recorded

evidence Type

Theoretical preprint; version 2

evidence Class

quantum_error_correction_preprint

measurement

Quantum information stored in a tiling-based code with local indistinguishability and recoverability.

relationship Note

Study the explicit Fibonacci-tiling code and compare its mathematical requirements with our sequence representations before proposing a hardware mapping.

clinical Evidence

false

review Depth

Publisher or author abstract and bibliographic metadata; selected explanatory sections where available.

hypothesis Boundary

Connections to M9 P24, Alpha, Beta, Gamma and Epsilon remain research hypotheses. Shared geometry does not establish a shared physical mechanism.

status

not-applicable

score

Not recorded

reason

Not a human randomised clinical trial.

status

curated-record

retrieval Available

false

url

https://arxiv.org/abs/2311.13040v2

checked At

2026-10-26

indexed Content

Verified metadata and original research summary are indexed. Full article text is not indexed in this update.