Quantum Memory Matrix: Difference between revisions

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==Experimental verification==

A dedicated hardware study on IBM’s 127-qubit **ibm_kyiv** and **ibm_brisbane** devices implemented five imprint–retrieval circuits that scale from a minimal three-qubit cell to a dual five-qubit cycle.<ref>{{cite arxiv |id=2502.15766v2 |title=Reversible Imprinting and Retrieval of Quantum Information: Experimental Verification of the Quantum Memory Matrix Hypothesis |version=2}}</ref>

Five-qubit imprint–retrieval cycles achieved <math>F=0.74</math>, and imprint-dressed repetition codes raised logical fidelity by 32 %.<ref name="AQT" />

* The baseline three-qubit cycle reached a retrieval fidelity of <math>F_{\text{retr}} = 0.732 \pm 0.012</math>.

* Adding a second, independent memory cell preserved fidelity within 3 % (five-qubit dual cycle, <math>F = 0.704 \pm 0.014</math>).

* Phase-evolution and controlled-error runs confirmed reversibility: deliberate phase errors (δ = π⁄8) were corrected to <math>F = 0.684 \pm 0.014</math>, while control runs without injected noise restored the baseline value.

Mutual-information analyses and Pearson correlations between field and output registers excluded classical leakage, establishing unitary, local storage and recovery of quantum information as predicted by QMM.

==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 |doi=10.1002/qute.202500262 |url=https://advanced.onlinelibrary.wiley.com/doi/10.1002/qute.202500262}}</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.

Because the imprint layer is fully unitary and measurement-free, it operates as a lightweight “booster” compatible with architectures where rapid stabilizer read-out is impractical, providing empirical support for the broader claim that space-time may function as a distributed quantum memory.

==Potential observational signatures==