The Matrix Quantum Simulator

THE MATRIX — Quantum Simulator

THE MATRIX · Quantum Simulator

<aside>
⚛️

CERTIFIED · E1 SOFTWARE QUANTUM SIMULATION

MC-MATRIX-PARITY-20260921-001 · 8 qubits · 24 layers · χ = 16 · φ = 0.7

Python MPS ↔ dense: phase-aligned L2 6.980e-15 · fidelity 1.0 · discarded weight 5.24e-32

Independent Qiskit Aer: L2 1.503e-14 · fidelity 1.0000000000000004 · Qiskit 2.5.0 / Aer 0.17.2

Typed boundary: 256→125 is a normalized feature map, not a Hilbert-space isomorphism. E47 begins only after the lift. 125→128 is an isometric embedding with zero padding-state population.

OPEN MATRIX · PARITY CERTIFICATE · E47 PRISM CERTIFICATE · PRISM FORMALISM · E47 Prism Spectral Formalism · DRIVE MIRROR · SOURCE

</aside>

Aether-X / ICEE metric lensing (live)

Typed E2 visualizer on the MANTA bus. Algebra of K remains E0/E1.

• Chain: K=(C-6I)(C-30I) → E47=ker K → Ωc=47/125 → Δg(ψ_C, ∇Ω, P_E) → geodesic

• PGO analog: ρm=9570 kg/m³, 600 nm stack, fdrive=2.40955 GHz, fnull≈42.5 kHz, vs=2891.46 m/s

• Mode B = phase lock(ρm, fdrive, vs, Ωc). 8-knot skyrmion Q ∈ ℤ. RCC meff = m0(1-Ωlocal).

• Continuum L=½‖Kx‖² and discrete B(x)=(1-Ωc)x+Ωc P_E x isolate λ ∈ {6,30}; off-kernel B = 78/125.

• Not a physical propulsion law. Hardware claims require the staged vacuum/interferometric campaign.

<aside>
▶

MANTA FUSION · 2026-09-18

THE MATRIX 125-lift now powers MANTA. Capture on ker $K$ is the only coupling. Typed simulation bridge, not a physical propulsion law.

• Lift: sampled-amplitude feature map into $V_2^{\otimes 3}$ (dim 125) — not a Hilbert isomorphism

• Spectral: $\Gamma = I - \varepsilon K^2$, $\varepsilon_*=1/99144$, $\Omega_c=47/125$

• Evidence: E0/E1 on $K$ · E1 browser CHSH/teleport · E2 motion

• Engines: sim/manta_e47_engine.py · website/js/engines/manta-e47.js

• Live runtime: this Grok instrument (MANTA / Matrix / Spectra / Atlas)

• Intended Pages: MANTA · THE MATRIX · gateway

• Repos: github.io · E47-Kartekeya
  </aside>

<aside>
◼

VISUAL SYSTEM · MINI AI LABS

Near-black laboratory. Cyan live · bronze Λ-ghost · mint lock. No type on stills. Record: CITY-LABS-VISUAL-SYSTEM-20260915.

</aside>

<aside>
▶

OPEN LIVE INTERFACE

THE MATRIX is now canonical on the GitHub-native City surface: open MATRIX. The earlier in-page and Grok surfaces remain lineage references; they are not the current code authority. Runtime authority is the repository-owned two-site MPS worker plus its Python/Qiskit parity gate.

</aside>

<aside>
🧮

THE MATRIX · QUANTUM SIMULATOR

How does a finite qubit register evolve, entangle, truncate, and survive an independent parity check?

A browser-native statevector lab on $(\mathbb{C}^2)^{\otimes n}$, $n \le 8$: live column evolution, Born collapse with classical $cX$/$cZ$, CHSH, 3-qubit bit-flip QEC, BB84, MPS truncation, and the E47 algebraic witness.

</aside>

quantum-matrix.html

<aside>
▶

LIVE INTERFACE

The embed above is the original site Matrix (in-page). The standalone City OS lab is this Grok App Builder instrument: live preview, shots, QFT/CP, teleport, CHSH, QEC, MPS, E47, Atlas.

</aside>

Research mandate

THE MATRIX is the Mini AI Labs quantum-circuit instrument. It sits with The Cube — E47 Geometric Computation and SIGILLUM — Forty-State Spectral Computer as a selected system: The Cube interrogates the 125-state carrier; SIGILLUM interrogates the 40-state seal; THE MATRIX interrogates an $n$-qubit statevector.

$$
(\mathbb{C}^2)^{\otimes n} \longrightarrow U_{\mathrm{col}} \longrightarrow \lvert\psi\rangle \longrightarrow M,\; cX,\; cZ
$$

Mathematical spine

• Carrier: $n \le 8$ qubits, complex amplitudes, $\|\psi\|^2 = 1$.

• Live preview: unitaries apply immediately; measure and classically-controlled $cX$/$cZ$ wait for Collapse.

• Gates: $H,X,Y,Z,S,T$, $R_x,R_y,R_z$, CNOT, SWAP, $CP(\theta)$, $cX$, $cZ$, Measure.

• Presets: Bell, GHZ, W, QFT3, Deutsch, kickback, Grover2, teleport, bit-flip encode.

• Tools: CHSH (Alice $\{Z,X\}$, Bob $\pm \pi/4$), 3-qubit majority QEC, BB84, MC-OCTET-PACKET-1.0.

• MPS: adjacent-bond SVD with transfer-norm $\langle\psi\vert\psi\rangle$.

• E47 witness: $\Omega_c = 47/125$, $\varepsilon_* = 1/99144$, $\rho_* = 15/17$. Display of SPECTRA's algebraic object; the UI does not add a theorem.

<aside>
⚖

EVIDENCE BOUNDARY

THE MATRIX is a software quantum simulator, not quantum hardware. Exact gate/operator identities remain E0 where proved; browser/Python/Qiskit implementation parity is E1. CHSH, teleport, QEC, BB84, and noise trajectories are simulations. The 256→125 step is a typed feature map, not a Hilbert-space isomorphism, and downstream E47 analysis does not promote physical claims.

</aside>

City connections

• Mini AI Labs — Advanced Research Interface — public research interface; THE MATRIX is a selected quantum-circuit instrument, not a cycle laboratory.

• SPECTRA — Structure Lab — 125-dimensional spectral algebra; THE MATRIX does not inherit SPECTRA's E0/E1 kernel authority.

• Density — Quantum Topological Visualizer — measurement lab.

• E47 Core — Holographic Quantum Terminal — holographic terminal.

• MPS engine spec — Drive reconstruction of the truncated tensor engine.

• Octet Experiment Packet — Cross-Lab Transport and Verification Contract — THE MATRIX is not an Octet packet stage.

• 🌐 Scientific App Ecosystem — Launch Hub — original site catalog; this page is that Matrix, rewritten in City grammar.

• Open public Mini AI Labs portal · Registry JSON · E47-Kartekeya

Registry

• Operation: CITY-APP-MATRIX-20260916

• Instrument class: selected quantum-circuit computation (with The Cube, SIGILLUM), above the eleven-lab cycle

• Evidence: E0 exact gate algebra on $(\mathbb{C}^2)^{\otimes n}$ · E1 browser reconstruction of amplitudes, Born histograms, CHSH correlators, and MPS norm

• Status: live City instrument · Mini AI Labs child page · standalone counterpart of the in-page site Matrix

• Published: September 16, 2026