<p>We report a hardware implementation of a reversible imprint-retrieval cycle motivated by the Quantum Memory Matrix (QMM) framework. Using IBM Quantum backends, we realize five circuits that scale from a minimal three-qubit memory cell to a five-qubit dual-cycle architecture, including variants with controlled phase evolution and deliberate perturbation. Because the circuit readout is based on computational-basis bit strings, the primary experimental metric is the basis-matched retrieval probability, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(P_{\textrm{ret}}=N_{\textrm{match}}/N_{\textrm{shots}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>P</mi> <mtext>ret</mtext> </msub> <mo>=</mo> <msub> <mi>N</mi> <mtext>match</mtext> </msub> <mo stretchy="false">/</mo> <msub> <mi>N</mi> <mtext>shots</mtext> </msub> </mrow> </math></EquationSource> </InlineEquation>, reported together with Wilson-score <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(95\,\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>95</mn> <mspace width="0.166667em" /> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> confidence intervals, Pearson correlations, and mutual information between field and output qubits. Across the five experiments, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(P_{\textrm{ret}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>P</mi> <mtext>ret</mtext> </msub> </math></EquationSource> </InlineEquation> ranges from <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(0.487\pm 0.017\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.487</mn> <mo>±</mo> <mn>0.017</mn> </mrow> </math></EquationSource> </InlineEquation> in the evolution stress test to <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(0.732\pm 0.012\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.732</mn> <mo>±</mo> <mn>0.012</mn> </mrow> </math></EquationSource> </InlineEquation> in the baseline three-qubit cycle, with the dual-cycle and controlled-error variants remaining near 0.70 under realistic device noise. These results provide a proof-of-principle demonstration that finite-dimensional quantum registers can store and return basis-level information through local unitary gates. The experiments therefore support the operational imprint-retrieval primitive underlying QMM, while also identifying full state tomography as the next step toward verifying phase-coherent state recovery.</p>

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Reversible imprinting and retrieval of quantum information: experimental verification of the Quantum Memory Matrix hypothesis

  • Florian Neukart,
  • Eike Marx,
  • Valerii Vinokur

摘要

We report a hardware implementation of a reversible imprint-retrieval cycle motivated by the Quantum Memory Matrix (QMM) framework. Using IBM Quantum backends, we realize five circuits that scale from a minimal three-qubit memory cell to a five-qubit dual-cycle architecture, including variants with controlled phase evolution and deliberate perturbation. Because the circuit readout is based on computational-basis bit strings, the primary experimental metric is the basis-matched retrieval probability, \(P_{\textrm{ret}}=N_{\textrm{match}}/N_{\textrm{shots}}\) P ret = N match / N shots , reported together with Wilson-score \(95\,\%\) 95 % confidence intervals, Pearson correlations, and mutual information between field and output qubits. Across the five experiments, \(P_{\textrm{ret}}\) P ret ranges from \(0.487\pm 0.017\) 0.487 ± 0.017 in the evolution stress test to \(0.732\pm 0.012\) 0.732 ± 0.012 in the baseline three-qubit cycle, with the dual-cycle and controlled-error variants remaining near 0.70 under realistic device noise. These results provide a proof-of-principle demonstration that finite-dimensional quantum registers can store and return basis-level information through local unitary gates. The experiments therefore support the operational imprint-retrieval primitive underlying QMM, while also identifying full state tomography as the next step toward verifying phase-coherent state recovery.