OSIRIS-HP-001: Hayden–Preskill Quantum Information Recovery Benchmark (Preregistration Protocol v1.0)

OSIRIS-HP-001 Preregistration Protocol v1.0 This protocol establishes a formal, pre-registered, and falsifiable quantum information recovery benchmark based on the Hayden-Preskill thought experiment (Hayden & Preskill 2007; Yoshida & Kitaev 2017). Designed for execution on IBM Quantum Heron r2 processors (ibm_marrakesh) following deterministic Stage 1 CPU simulation. Core Thesis: Investigates whether an unknown quantum state can be reconstructed by a restricted-access decoder operating strictly on early radiation and newly emitted late radiation after scrambling across an entangled register, and quantifies recovery degradation under calibrated physical noise. Three Controlled Experimental Arms: Arm A (Identity Recovery Control): Full-access reversible control establishing the SPAM ceiling and hardware noise baseline (unit fidelity prediction). Arm B (Restricted-Access Recovery): Message entangled with reference R; black hole B entangled with early radiation E. Scrambler U acts on M + B. Remnant C and Reference R are strictly quarantined. Decoder V_ED operates exclusively on E + D, outputting decoded message M'. Evaluates entanglement fidelity F_rec = <Phi+| rho_RM' |Phi+> reconstructed via XX, YY, and ZZ tomography. Arm C (Noise Degradation Sweep): Calibrated physical noise sweep (depolarizing, dephasing, relaxation) evaluating recovery resilience. Formal Pre-Registered Hypotheses: H1 (Reversible Control): Full-access inverse achieves F >= 0.999 in noiseless simulation. H2 (Restricted Recovery): Decoder on E + D achieves F_rec > 0.50 (quantum entanglement witness) with >10 pp advantage over unentangled controls. H3 (Page Transition): Monotonic fidelity scaling as late radiation size crosses the Page threshold (kD = 1 < kD = 2 < kD = 3 = 1.0). H4 (Noise Sensitivity): Monotonic degradation under physical noise channels. Stage 1 CPU simulation passed all acceptance criteria across N = 20 Haar-random trials (Arm B F = 0.9097 vs. unentangled control F = 0.7223, advantage +18.74 pp, p = 9.05e-12).