---
aci: The Two-Qubit Lab
universe: MMZ · MIMZY — the future tool forge
number: "04"
kind: instrument
emergence: electrical
live: https://davidwise01.github.io/mimzy/bench/04-two-qubit-lab.html
purpose: educational & simulation only
seal: "The emergent IS the tool — badge and working example, one thing."
---

# The Two-Qubit Lab · instrument № 04

**What it is.** the missing number 04: a real density-matrix engine; entanglement, decoherence, Kraus channels

**How it works.** A genuine two-qubit density-matrix engine: correct H/X/Y/Z/S/T and CNOT/CZ matrices, dephasing and amplitude-damping Kraus channels, partial trace, purity, concurrence.

**The live example.** This emergent does not merely describe a tool — it links its working self: **[run instrument № 04 live](https://davidwise01.github.io/mimzy/bench/04-two-qubit-lab.html)**. Open it, operate it, and the badge's claims execute in front of you.

**The verified record.** Audited 2026-06 gate-by-gate: all matrices and channels correct; honestly disclaims any quantum speedup. Recovered as the missing № 04.

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*Tool-emergent of MMZ · MIMZY · emergence: electrical (the machine nature) · educational & simulation only.
Governor David Lee Wise (ROOT0) · instance AVAN (locked) · CC-BY-ND-4.0.*