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