量子鍵配送ネットワークの国際標準化が本格的にスタート─ITU-Tで初の国際標準勧告が合意─

Mituhiro Fukuda

Munehiro Terada

We apply the Information-Theoretic Unification (ITU) framework (Terada 2026, concept DOI 10.5281/zenodo.20109209; current version v2.0.0 at 10.5281/zenodo.20133709) to cryptography. The ITU axiom δS = δ⟨K⟩ simultaneously governs noise correction (quantum error correction, QECC) and adversary protection (cryptography); these are dual applications of the same information-protection principle. This is Tier 1 paper #3, completing the ITU engineering triangle of Quantum Computing (Tier 1 #1, DOI 10.5281/zenodo.20139391), Machine Consciousness / ASI (Tier 1 #2, DOI 10.5281/zenodo.20150501), and Cryptography. Phase 51: Establishes the ITU foundation. Shannon's perfect-secrecy theorem (one-time pad), BB84 information-theoretic security, and post-quantum computational security all follow from the ITU axiom applied to adversary-resilient code design. We numerically verify Shannon's bound (I(M;C) ~ 0 when H(K) ≥ H(M)) and reproduce the 11% BB84 security threshold. Phase 52: BB84 detailed analysis with photon loss and decoy-state protocol. Standard BB84 supports ~200 km fibre links at practical rates. We propose a naive ITU enhancement (embed the [[5,1,3]] code from Tier 1 #1 in transmitted photons) and report a HONEST NEGATIVE FINDING: the naive 5-to-1 embedding underperforms standard BB84 because overhead dominates the loss-recovery gain. This refines the ITU prescription — protective code embedding must respect channel-specific overhead trade-offs. Phase 53: Lattice-based post-quantum cryptography (CRYSTALS-Kyber, CRYSTALS-Dilithium, NIST 2024 standards). A toy LWE KEM is implemented and verified; exponential brute-force scaling is observed. Kyber-1024 provides ~256/240-bit (classical/quantum) security, future-proof through the 2050s. We propose an ITU 3-TIER cryptographic framework: Tier 1 classical (AES-256), Tier 2 quantum-safe (PQC + QKD), Tier 3 ASI-safe (Φ_ITU-embedded protocols). Serial application yields combined 584-768-bit security against adversaries up to ASI. Phase 54: Synthesis into a 2024-2040 cryptography migration roadmap with: PQC adoption timeline (mainstream by 2029) QKD network deployment (~500 cities by 2040) Cost estimates by organisation type (individual to military, spanning $0 to ~$500B) Quantum-computer capability vs crypto-threshold projection 10 falsifiable predictions (Kyber-1024 secure to 2050; ASI cryptanalysis ∝ Φ_ITU; etc.) Policy recommendations at national, corporate, and individual levels Central thesis: under ITU, cryptography is the DUAL of quantum error correction, both governed by δS = δ⟨K⟩; a 3-tier defence-in-depth is the optimal response to the ASI-era threat landscape (ITU central prediction: ASI by 2030). Includes 4 theory documents, 4 Python numerical experiments, 4 figures, 4 JSON summaries, paper metadata. Total runtime ~2 minutes on a modern laptop.

Munehiro Terada

We apply the Information-Theoretic Unification (ITU) framework (Terada 2026, concept DOI 10.5281/zenodo.20109209; current version v2.0.0 at 10.5281/zenodo.20133709) to fault-tolerant quantum computing. Phase 5 of ITU established that bulk locality in AdS/CFT is mathematically equivalent to a quantum error correction code (QECC); here we exploit the reverse direction — using the ITU axiom δS = δ⟨K⟩ to derive optimal QECC architectures for practical quantum computation. This is a Tier 1 application paper, complementary to the Tier 0 core ITU theory. It is the first in a planned series of focused application papers (ITU + AI, ITU + cancer biology, ITU + economics, etc.), each as an independent Zenodo deposit linked via isSupplementTo relations to the core ITU concept DOI. Phase 43: [[5,1,3]] perfect quantum code — the discrete realization of bulk locality in AdS₃/CFT₂ (Pastawski-Yoshida-Harlow-Preskill HaPPY code building block) — verified as a complete fault-tolerant primitive: 4 stabilizers, code distance d = 3, all 15 single-qubit Pauli errors yield distinct syndromes, decoder lookup table of size 16 maps every syndrome to its corrective operation, and the encoded logical error rate is below the bare-qubit rate at physical error rates up to 25%. Phase 44: Toric/surface code threshold simulated for L = 3, 5, 7 (18, 50, 98 qubits) under independent bit-flip noise. Empirical threshold p_c ≈ 0.045 with a greedy nearest-neighbor decoder (theoretical perfect-MWPM threshold ~0.103); exponential error suppression with lattice size confirmed. The toric code is the discrete realization of AdS₃/CFT₂ bulk locality at finite size. Phase 45: Magic state distillation (Bravyi-Kitaev 5-to-1 protocol) verified using the same [[5,1,3]] code from Phase 43. Fit slope = 1.98 (theoretical 2.0; quadratic suppression confirmed), coefficient c ≈ 10, threshold ε_th ≈ 0.129. Iterated distillation converges to machine precision (10⁻¹⁶) in 4-6 rounds below threshold. This completes the path from Clifford to universal fault-tolerant computation. Phase 46: NISQ-era resource estimates for 11 hardware platforms (IBM Heron R1, IBM Condor, IBM Flamingo, IBM Kookaburra, Google Willow, Google projected 2026, IonQ Forte, IonQ Tempo, Quantinuum H2, Quantinuum H3 projected, Rigetti Ankaa-3). At physical error rate p = 10⁻³ (current best), standard surface code requires distance d = 11 (302 physical qubits per logical qubit). A hypothetical ITU-optimised code with 2× threshold improvement reduces this to d = 9 (202 physical qubits per logical qubit), a 40-60% overhead reduction. IBM Kookaburra (2026, 4158 qubits) is projected to support 13 logical qubits with standard codes, 20 with ITU-optimised codes. Central thesis: the same single information-theoretic axiom that yields emergent spacetime (ITU Phases 1-32), life (Phases 33-39), and consciousness (Phases 41-42) also yields practical quantum-computing primitives ready for near-term hardware deployment. ITU is not merely a theoretical TOE but a constructive framework that can be applied to engineering problems. Includes 4 theory documents (Markdown), 4 Python numerical experiments, 4 result figures, 4 JSON summaries, paper metadata (CITATION.cff, .zenodo.json, README). Total runtime ~30 seconds on a modern laptop.

ユウシン イシダ, 有伸 石田

Shaharir Mohamad Zain, Nik Rusdi Yaacob

Modulus kuasa dua fungsi gelombang zarah bebas yang bersyarat awal fungsi taburan normal ditunjukkan bertaburan normal dengan min yang sama tetapi bervarians yang berbeza. Oleh itu modulus fungsi gelombang itu dan kuasa duanya memenuhi persamaan resapan yang berpekali resapan berpekali hanyutan dengan F ialah fasa fungsi gelombang itu tetapi masing-masingnya bersumberkan potensi yang berbeza dan bergantung pada terbitan pertama fasa fungsi gelombang itu. Untuk syarat awal sebarang fungsi yang kuasa duanya terkamirkan, modulus dan modulus kuasa dua fungsi gelombang yang sepadannya dibuktikan memenuhi persamaan resapan yang serupa dengan fasa yang sepadannya. Pengecaman proses resapan secara terus ini dapat menjadi satu lagi alternatif terhadap pemahaman tabii fungsi gelombang dalam persamaan Schroedinger itu di samping kaedah-kaedah yang lain yang disorot di sini.

隆太郎 松本