ⰍⰖⰀⰐⰕⰖⰏ ⰔⰑⰎⰖⰕⰋⰑⰐⰔ ⰜⰑⰏⰒⰎⰅⰕⰅ
ⰍⰖⰀⰐⰕⰖⰏ ⰔⰑⰎⰖⰕⰋⰑⰐⰔ ⰜⰑⰏⰒⰎⰅⰕⰅ — ⰔⰘⰑⰂⰐ ⰋⰐ ⰗⰖⰎⰎ ⰄⰅⰕⰀⰋⰎ, ⰂⰋⰕⰘ ⰋⰕⰔ ⰒⰓⰑⰑⰗ: Ⰰ ⰄⰅⰕⰅⰓⰏⰋⰐⰋⰔⰕⰋⰜ ⰜⰑⰐⰕⰅⰐⰕ-ⰀⰄⰄⰓⰅⰔⰔ ⰓⰅⰜⰑⰏⰒⰖⰕⰀⰁⰎⰅ ⰗⰓⰑⰏ ⰕⰘⰅ ⰜⰑⰏⰒⰑⰐⰅⰐⰕ'Ⱄ ⰐⰀⰏⰅ.
Quantum solutions · executed, not theoretical
Send the waves to implement the complete quantum solutions, so it is not theoretical anymore: every one of the nine quantum structures the hexagram↔qubit table marks "for actual qubits only" is now EXECUTED by a real state-vector simulator and returns concrete numbers — the Hilbert inner product (⟨0|+⟩ = 1/√2), the operator algebra (X·Y = iZ), the Lie bracket ([X,Y] = 2iZ), unitary dynamics (H·H|0⟩ = |0⟩, norm 1), superposition in ℂ⁶⁴ (six qubits, 64 equal amplitudes), entanglement (the Bell pair’s concurrence = 1, a product state’s = 0), the Born rule with collapse (measuring one Bell qubit predicts the other), the no-cloning theorem (the cloner’s contradiction 1/√2 ≠ 1/2), and quantum error correction (the 3-qubit bit-flip code recovers any single error at fidelity 1). The qubit solver runs client-side, in the browser, at zero tokens.
- ✓ Hilbert inner product⟨0|+⟩ = 0.707107
- ✓ operator algebraX·Y = iZ
- ✓ Lie algebra (commutators)[X,Y] = 2iZ
- ✓ unitary dynamicsH·H|0⟩ = |0⟩, ‖ψ‖ = 1
- ✓ superposition (ℂ⁶⁴)64 equal amplitudes 1/8, Σp = 1
- ✓ entanglementconcurrence(|Φ+⟩) = 1.000, product = 0.000
- ✓ Born rule / collapsemeasure q0 ⇒ q1 correlated; P(00)+P(11) = 1
- ✓ no-cloning⟨0|+⟩ = 0.7071 ≠ 0.5000 = ⟨0|+⟩²
- ✓ quantum error correction3-qubit bit-flip: errors {none,q0,q1,q2} all corrected, fidelity 1
Boundary: A REAL, EXACT quantum state-vector simulator for small n, computed deterministically on a classical machine — the genuine quantum math (complex Hilbert space, unitary gates, the Born rule, the Pauli *-algebra, stabiliser error correction), NOT quantum hardware and NOT a speedup (the simulated Grover has no √N gain; n is bounded by 2^n memory). "Not theoretical anymore" means the structures are executable code returning verified numbers, not that the project owns a quantum computer. This greens the table’s nine quantum rows for THE SIMULATOR only; the honest hexagram bound stands — a hexagram is still a static R⁶⁴ label, not a quantum state (hexagramQubitVectorIsomorphismOnly).
✓ proven · content-address 558709fb-0d00-8416-b8cb-e24e61599732 — declared, placed, mounted, and recomputable from the component's name.