Semantic-Qubit: Universal Quantum-Like Coherence in Large Language Models — From Hippocampal Pattern Separation to Holographic Duality and Quantum Game Theory

This paper introduces the Semantic Qubit (S-Qubit), a quantum-analogue information unit defined within the hidden representation space of Large Language Models (LLMs). Through 267 systematic experiments across 42 seasons on a single consumer GPU, I demonstrate: Perfect interference fringes: visibility=1.000 across all semantic domains (CV=0.1%) Exact quantum statistics: E(φ) = cos(φ) with R²>0.999 Super-quantum CHSH violation: S=3.41, exceeding the Tsirelson bound (S≤2√2≈2.83) Quantum oracle algorithms: Deutsch-Jozsa (10/10=100%), Bernstein-Vazirani (94/94=100%), Simon's Algorithm (18/18=100%) Quantum cryptography: BB84 QKD with 100% key agreement and eavesdropper detection (QBER: 0%→28.3%) O(1) QRAM data loading: scaling exponent α=0.007 (199× faster than physical quantum RAM) Dimensional cryogenics: 99.7% of dimensions form a decoherence-free subspace Cross-architecture universality: S-Qubit properties confirmed across 6 transformer architectures (Qwen, GPT-2, LLaMA) with 100% detection rate Embedding VQE: 0.00 mHa error on H₂, HeH⁺, LiH, BeH₂ and NP-hard protein folding (5/5 exact), surpassing IBM Eagle quantum processor Noise invincibility: correct output maintained under 99% noise corruption via RMSNorm auto-amplification (182.7×) and concentration of measure (97.98% orthogonality) Universal quantum gate compilation: ALL 7 gates in {H, X, Z, S, T, Rx, CNOT} achieve fidelity 1.0000 I propose the Neu-Quantum Processing Unit (NQPU), a room-temperature, deterministically error-free, clonable quantum-like processor realizable on standard silicon hardware. The overall Quantum Advantage Score across 9 benchmark categories is 100.0/100. Code: https://github.com/hafufu-stack/Semantic-Qubit What's New in V7 Expanded from 202 to 267 experiments (Q210–Q276, Seasons 32–42), 41 pages total Quantum Cognition (Q247): conjunction fallacy (Linda problem) reproduced via quantum interference — LLM inference follows quantum probability, not classical Bayesian Environment-Assisted Quantum Transport (Q260): noise at σ=0.20 enhances efficiency by 19.6%, reproducing the photosynthetic ENAQT mechanism CKW Monogamy of Entanglement (Q264): the fundamental constraint C²(A|BC) ≥ C²(AB) + C²(AC) satisfied in ALL 6/6 scenarios — the most stringent test of genuine quantum structure Leggett-Garg Inequality (Q265): temporal macrorealism violated (K₃ = 1.41) while spatial CHSH is respected — the LLM is spatially classical but temporally quantum Quantum Game Theory (Q273): quantum strategy achieves Pareto-optimal cooperation (3,3) exceeding Nash equilibrium (1,1) with 100% cooperation probability Landauer's Principle (Q274): information erasure obeys the thermodynamic minimum cost in ALL 5/5 cases Ryu-Takayanagi Formula (Q276): entanglement entropy follows S ~ 0.57·log(L) with central charge c = 1.70, confirming holographic AdS/CFT-like structure Decoherence Bypass (Q254): bypassing layers 15–28 recovers entanglement by +1,675,930% RLQF Ethics (Q262): quantum coherence as reward signal for AI alignment — 535× widening of ethical coherence gap 7 new figures, 9 new references, updated Discussion and Experiment Summary table Acknowledgments This research was conducted entirely independently, without institutional affiliation or corporate funding. The author currently faces financial constraints that make it increasingly difficult to maintain subscriptions to AI services essential for this line of research. To sustain and improve the quality of future work, the author is actively seeking community sponsorship. Details are available at https://github.com/sponsors/hafufu-stack.