moth-actias

# Moth Actias Quantum Synth **Trit**: +1 (PLUS - generative/sonic output) **Type**: Quantum Musical Instrument **Principle**: Sonify qubit state via Bloch sphere mapping --- ## Overview Actias is a quantum synthesizer that: - Visualizes qubit state on Bloch sphere - Maps quantum state to audio parameters - Accepts MIDI for rotation control - Supports measurement operations ## Bloch Sphere Sonification ``` |0⟩ (North pole) │ │ θ = polar angle │ ─────┼───── φ = azimuthal angle │ │ |1⟩ (South pole) |ψ⟩ = cos(θ/2)|0⟩ + e^{iφ}sin(θ/2)|1⟩ ``` ### Audio Mapping | Parameter | Bloch Coordinate | Sound Effect | |-----------|------------------|--------------| | θ (theta) | Polar angle | Timbre blend |0⟩↔|1⟩ | | φ (phi) | Azimuthal angle | Phase/detune | | r | Radius (purity) | Amplitude/reverb | ## MIDI Control ### CC Mappings | CC | Controller | Rotation | |----|------------|----------| | 1 | Expression 1 | X-axis (orange) | | 2 | Expression 2 | Z-axis (blue) | | 3 | Expression 3 | Y-axis (green) | | 64 | Sustain/Switch | Measurement | ### Note Input ```python # MIDI note → qubit initialization def note_to_qubit(note, velocity): """ Map MIDI note to initial qubit state. note: 0-127 → θ = note * π / 127 velocity: 0-127 → φ = velocity * 2π / 127 """ theta = note * np.pi / 127 phi = velocity * 2 * np.pi / 127 return cos(theta/2), exp(1j * phi) * sin(theta/2) ``` ## Integration with Quantum Guitar ``` ┌─────────────┐ MIDI ┌─────────────┐ │ Fishman │──────────────▶│ Actias │ │ MIDI Pickup│ │ Synth │ └─────────────┘ └──────┬──────┘ │ ┌─────────────┐ MIDI │ Audio │ Boss EV-1-WL│──────────────────────┤ │ Foot Pedals │ │ └─────────────┘ ▼ ┌─────────────┐ ┌─────────────┐ │ Mix │ │ Boss FS-6 │───Measure────▶│ Output │ │ Foot Switch │ └─────────────┘ └─────────────┘ ``` ## Web Interface Actias runs as web application with: - Real-time Bloch sphere visualization - MIDI device selection - Audio output configuration - Preset management **Note**: Web MIDI requires secure context (HTTPS/localhost) ## Known Issues & Workarounds From Coecke's tech notes: | Issue | Workaround | |-------|------------| | Preset loss on MIDI reconnect | Re-add device in settings | | Tablet web MIDI | Use desktop only | | Two laptops needed | Separate Actias + DAW hosts | | Only Z-measurement | Rotate before measure for X | ## SuperCollider Alternative ```supercollider // Actias-like qubit sonification SynthDef(\actias, { |theta=0, phi=0, gate=1| var sig, prob0, prob1, env; prob0 = cos(theta/2).squared; prob1 = sin(theta/2).squared; // Blend two timbres based on |0⟩/|1⟩ probability sig = (SinOsc.ar(440) * prob0) + (Saw.ar(440 * 1.5) * prob1); // Phase modulation from φ sig = sig * (1 + (0.5 * cos(phi))); env = EnvGen.kr(Env.asr(0.01, 1, 0.1), gate); Out.ar(0, sig * env ! 2); }).add; ``` ## GF(3) Triad | Component | Trit | Role | |-----------|------|------| | zx-calculus | -1 | Notation | | quantum-guitar | 0 | Interface | | **moth-actias** | **+1** | **Sonification** | **Conservation**: (-1) + (0) + (+1) = 0 ✓ ## References 1. Miranda, Thomas & Itaboraí (2023). Q1Synth. Applied Sciences 2. Coecke (2025). A Quantum Guitar. arXiv:2509.04526 3. Moth. Actias documentation (web) --- **Skill Name**: moth-actias **Type**: Quantum Synthesizer / MIDI **Trit**: +1 (PLUS) ## Non-Backtracking Geodesic Qualification **Condition**: μ(n) ≠ 0 (Möbius squarefree) This skill is qualified for non-backtracking geodesic traversal.