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* '''2025 (February).''' Two companion preprints extend QMM to electromagnetism<ref>{{cite journal |last=Neukart |first=F. |title=Planck-Scale Electromagnetism in the Quantum Memory Matrix: A Discrete Approach to Unitarity |journal=Preprints |year=2025 |number=2025030551 |doi=10.20944/preprints202503.0551.v1 |doi-access=free |url=https://www.preprints.org/manuscript/202503.0551/v1}}</ref><ref>{{cite arXiv |last1=Neukart |first1=Florian |last2=Marx |first2=Eike |last3=Vinokur |first3=Valerii |eprint=2502.15766v2 |title=Integrating Electromagnetic Interactions into the QMM Framework |date=2025 |class=physics.gen-ph }}</ref> and to the strong and weak sectors.<ref name="Neukart2025SW">{{cite journal |last=Neukart |first=F. |title=Extending the Quantum Memory Matrix Framework to the Strong and Weak Interactions |journal=Entropy |volume=27 |issue=2 |pages=153 |year=2025 |doi=10.3390/e27020153 |pmid=40003150 |pmc=11854125 |doi-access=free }}</ref>
* '''2025 (April).''' A study applies the framework to cosmological structure formation and PBH production.<ref name="PBH">{{cite arXiv |last1=Neukart |first1=Florian |last2=Marx |first2=Eike |last3=Vinokur |first3=Valerii |eprint=2506.13816 |title=Information Wells and the Emergence of Primordial Black Holes in a Cyclic Quantum Universe |date=2025 |class=physics.gen-ph }}</ref>
* '''2025 (May).''' ''Advanced Quantum Technologies'' reports QMM-enhanced error-correction fidelities.<ref name="AQT">{{cite journal |last1=Neukart |first1=Florian |last2=Marx |first2=Eike |last3=Vinokur |first3=Valerii |last4=Titus |first4=Jeff |title=QMM-Enhanced Error Correction: Demonstrating Reversible Imprinting and Retrieval for Robust Quantum Computation |journal=Adv. Quantum Technol. |year=2025 |article-number=e2500262 |doi=10.1002/qute.202500262 |url=https://advanced.onlinelibrary.wiley.com/doi/10.1002/qute.202500262|url-access=subscription }}</ref>
==Theoretical framework==
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==QMM-enhanced error correction==
A follow-up experiment integrated a '''single-layer QMM dressing''' ahead of a length-3 repetition code on the same hardware.<ref>{{cite journal |last=Neukart |first=Florian |title=QMM-Enhanced Error Correction: Demonstrating Reversible Imprinting and Retrieval for Robust Quantum Computation |journal=Advanced Quantum Technologies |volume=?? |year=2025 |article-number=e2500262 |doi=10.1002/qute.202500262 |url=https://advanced.onlinelibrary.wiley.com/doi/10.1002/qute.202500262|url-access=subscription }}</ref>
* The hybrid “QMM + Rep-3” block achieved a logical fidelity of <math>F_{\text{logical}} = 0.941 \pm 0.004</math>, a '''32 % improvement''' over the bare repetition code at identical two-qubit-gate cost.
* Noise-calibrated simulations showed that stacking three QMM layers brings the logical error rate to within 20 % of a distance-three surface code while using an order of magnitude fewer qubits.
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