QMM‐Enhanced Error Correction: Demonstrating Reversible Imprinting and Retrieval for Robust Quantum Computation

Advanced Quantum Technologies, vol. 8

Abstract

Abstract The first hardware evidence is reported that a Quantum Memory Matrix (QMM) ‐ conceived as a Planck‐scale lattice of finite‐dimensional memory cells ‐ functions as an ultra‐shallow, measurement‐free error‐suppression layer for noisy intermediate‐scale quantum processors. On a seven‐qubit IBM transmon device, quantum states are imprint onto local cells with single‐qubit and nearest‐neighbor gates and later retrieve them through a controlled‐SWAP, guaranteeing unitary reversibility. A single imprint–retrieval cycle attains a hardware fidelity of ; prepending the same layer to a conventional repetition code boosts the logical fidelity to ‐ a 32 % improvement obtained without additional CX gates. Incorporating the layer into a variational quantum classifier lowers the final training loss by 35 % and halves run‐to‐run variance, evidencing its value for hybrid quantum‐classical workloads. Noise‐calibrated simulations further show 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 QMM booster is fully unitary and eschews mid‐circuit measurement, it is directly compatible with platforms where rapid stabilizer read‐out is impractical and provides empirical support for the broader notion that space‐time itself may behave as a distributed quantum memory.

Authors 3

1. Florian Neukart corresponding Aachen

   Leiden University · Terra Quantum (Switzerland)

   Affiliation as printed

   Leiden Institute of Advanced Computer Science Leiden University Gorlaeus Gebouw‐BE‐Vleugel, Einsteinweg 55 Leiden 2333 The Netherlands

   Terra Quantum AG Kornhausstrasse 25 St. Gallen 9000 Switzerland

   Terra Quantum Inc 44 Tehama Street San Francisco 94105 USA

2. V. M. Vinokur

   Terra Quantum (Switzerland)

   Affiliation as printed

   Terra Quantum AG Kornhausstrasse 25 St. Gallen 9000 Switzerland

3. Jeff Titus
   Affiliation as printed

   Terra Quantum Inc 44 Tehama Street San Francisco 94105 USA