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Null-Test Framework

Three-discriminator protocol for Shor-ECDLP claims. Pre-registered criteria. Every empirical claim tested against its own raw data before it enters any artifact.

3

independent discriminators

INTERNAL

What this is

The null-test framework is a three-discriminator protocol for evaluating Shor-ECDLP circuit runs. Before any hardware run begins, we pre-register what a positive result looks like. All three discriminators must clear threshold, or the result is null. Discriminator 1 measures output entropy relative to a classical baseline. Discriminator 2 compares the output distribution to a PRNG reference. Discriminator 3 evaluates circuit depth against the expected decoherence signature for the target backend. A null result is a finding. It means the quantum hardware did not produce a signal consistent with a break, which is the honest answer our first 10 runs on ibm_fez produced.

Why it matters

The entire PQC industry operates on assumed urgency. No major vendor publishes null results. When every assessment confirms the threat, the buyer cannot distinguish a real signal from a vendor incentive. Pre-registration and null-reporting are the only structural protections against motivated reasoning, including our own. The framework was built before we ran a single circuit on ibm_fez, and it is applied to every client assessment.

Technical Specification

  • -Discriminator 1: output entropy vs. classical baseline (KL divergence threshold)
  • -Discriminator 2: output distribution vs. PRNG reference (χ² test)
  • -Discriminator 3: circuit depth vs. backend T1/T2 decoherence signature
  • -Pre-registration: criteria locked before hardware execution
  • -Validation: 10/10 ibm_fez Shor-ECDLP runs returned null, published as baseline
  • -Application: every client QTA runs through all three discriminators
  • -Status: internal; applied to all empirical claims before publication

IBM Quantum Job IDs

12 jobs · IBM ibm_fez · 156-qubit Heron r2 · Result: 0/12 support a quantum break (null baseline)

d6ue2rk69uic73ci52f0Build 43: Shor-ECDLP (Q-Day Prize)
d6ue2kif84ks73de5o1gBuild 43: Shor-ECDLP (Q-Day Prize)
d6ue2c0v5rlc73f3reqgBuild 43: Shor-ECDLP (Q-Day Prize)
d6ue258v5rlc73f3rejgBuild 43: Shor-ECDLP (Q-Day Prize)
d6ue1uqtnsts73es2hugBuild 43: Shor-ECDLP (Q-Day Prize)
d6ue1oaf84ks73de5n5gBuild 43: Shor-ECDLP (Q-Day Prize)
d6ue1h2f84ks73de5mu0Build 43: Shor-ECDLP (Q-Day Prize)
d6ue14ov5rlc73f3rdg0Build 43: Shor-ECDLP (Q-Day Prize)
d6ue0fqtnsts73es2ge0Build 43: Shor-ECDLP (Q-Day Prize)
d6ue082tnsts73es2g6gBuild 43: Shor-ECDLP (Q-Day Prize)
d6udua0v5rlc73f3ral0Build 43: Shor-ECDLP (Q-Day Prize)
d6udt32f84ks73de5ib0Build 43: Shor-ECDLP (Q-Day Prize)
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