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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Experimental Validation of Prime Harmonic Modulation: Quantum State Tomography and Prime-Gap Indistinguishability

Authors: Daoud, Will;

Experimental Validation of Prime Harmonic Modulation: Quantum State Tomography and Prime-Gap Indistinguishability

Abstract

We report continous experimental validation of the prime-gap fidelity formula F_k = cos^2(pi*g_k/(2*p_k*p_{k+1})) on real IBM quantum hardware. Single-qubit state tomography on IBM Fez confirms the formula within 2.49% for all 6 patent primes. Bloch angles match pi/p within 0.66° mean error. Five additional experiments (decoherence, entropy, QBER, fingerprints) are reported. IBM Quantum job IDs: d8e3v607jphs739k6kig (primary, ibm_fez), d8e3s5ro3njc73eu773g, d8e3sijo3njc73eu77h0, d8e3t73o3njc73eu7880, d8e3tj87jphs739k6img, d8e3u007jphs739k6j50.

Keywords

quantum state tomography, IBM Fez, bloch sphere, qkd, prime harmonic modulation, prime gap, qubit fidelity, ibm quantum, quantum indistinguishability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average