QK Quantum Krump
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Quantinuum Bradford Hackathon 2025 · 2nd Place UNESCO International Year of Quantum (IYQ 2025) Helios-1E-lite Verified · 0 Physical QPU Shots DisCoPy Frobenius Category Theory KrumpRobot Physical AI · Modal Cloud

Embodied Quantum Information Science · Street Dance Choreography · Humanoid Robotics

Quantum Krump & KrumpRobot

Teaching superposition, entanglement, and relative phase interference through South Central Los Angeles Krump street dance, Laban Movement Analysis (LMA), and DisCoPy dagger-compact Frobenius string diagrams — paired with the 11th Quantum Dimension 20-dancer theatrical production and the standalone Motion2MixamoRig / KrumpRobot monocular 3D humanoid control pipeline.

Arun Nadarasa Quantum Information Scientist & Physical AI Lead · Bradford / London, UK
Dakota Simao (Twin Bad Liks / Jr Outrage) Artistic Director & Choreographer · Krump & Contemporary Dance · Geneva, Switzerland
Track 01 · Full Archival Reference
57-Page Master Monograph

Complete curriculum, DisCoPy proofs, Helios-1E-lite emulation, classical ablations & 4-Act staging in 10 languages.

⬇ PDF 10 Languages →
Track 02 · Educators & Choreographers
15-Page Pedagogy Paper

90-minute classroom delivery, Bloch Kinesphere drills, 2-phase QISCIT evaluation & safeguarding.

⬇ PDF Try 3D Bloch →
Track 03 · Standalone Robotics & Vision
12-Page KrumpRobot Paper

Zero quantum circuits: monocular 3D recovery, rest-relative retargeting, temporal ablations & causal GRU control.

⬇ PDF 1:38 Studio →
Interactive Cloud Environments:
🤗 QKMLM Space ↗ 🤖 KrumpRobot 3D Space ↗ ⚡ Guppy Playpond ↗ ★ GitHub Repo ↗
99.41%
Helios-1E-lite Frobenius Duet Fidelity (1,018 / 1,024 shots)
5.9×
10-Qubit Barren-Plateau Gradient Variance Retention
98.60%
QKMLM 4-Qubit VQC Hold-Out Test Accuracy (Modal)
8.765×10⁻¹¹
Motion2MixamoRig Rest-Relative FK Precision (m)
2.32°
KrumpRobot SO(3) Geodesic Joint Tracking Error
2.70 ms
1.01M-Param Causal GRU Inference Latency (370 Hz)
Epistemic Demarcation & Anti-Hype Baseline: Movement is a pedagogical and structural isomorphism—human bodies and humanoid robots obey classical Newtonian mechanics (ħ → 0) and do not exhibit microscopic quantum coherence. All trapped-ion circuits ran on the cloud Quantinuum Nexus Helios-1E-lite noisy emulator (2,048 shots across sealed job receipts; 0 physical QPU hardware shots claimed; classical G4 state-vector floor 0.33 µs).

01 · Open-Access Publication Suite

Focused Standalone Papers & 10-Language Master Monograph

To serve distinct peer-review communities without thematic dilution, the project is organized into a comprehensive 58-page Master Reference Monograph (translated natively into 10 languages) alongside three self-contained, venue-targeted standalone preprints.

Master Reference · 58 Pages · 10 Languages

Quantum Krump: Full Monograph

Complete archival reference uniting the 90-minute workshop curriculum, Laban × Krump × Bloch sphere geometry, DisCoPy Frobenius theorems, 11th Quantum Dimension 4-Act staging, Quantinuum Helios-1E-lite & Modal multi-qubit scaling, AlphaGenome 2 somatic verification, classical ablations, and Physical AI appendices.

  • Authors: Arun Nadarasa & Dakota Simao
  • Languages: EN, FR, DE, NL, JA, KO, ZH, FIL, HI, TA
  • Audit: 22 verified computational, ablation & governance lanes
⬇ English (58 pp.)
Standalone Pure Math / QPL / ACT · 14 Pages

Functorial Krump: Category Theory Paper

Self-contained theorem-proof mathematical formalization targeting ACT (EPTCS), Compositionality, and QPL / ISQCMC. Proves finite Yoneda distinguishability, DisCoPy Frobenius coherence across 1,296 duet phrases, and the Dual-Channel Effort Demultiplexing Theorem.

  • Authors: Arun Nadarasa & Dakota Simao
  • Main Theorem: Additive non-Clifford magic (0.8301 bits) & exact product Born readout (I_C = diag(1,1))
  • Verification: DisCoPy 1.2.2 + SymPy 1.14 + pytket 2.18 native ion rebase (F = 1 − 4×10⁻¹⁶)
⬇ Download (14 pp.)
Education & Choreography · 15 Pages

Embodied Pedagogy Companion

Streamlined journal paper tailored for quantum education, dance studies, and STEAM facilitators (e.g., Physical Review Physics Education Research / Leonardo). Focuses purely on classroom delivery, string-diagram choreography, and safeguarding.

  • Authors: Arun Nadarasa & Dakota Simao
  • Scope: 5-module 90-min lesson plan + 2-phase QISCIT calibration & RCT
  • Safeguarding: Trauma-informed somatic facilitation & cultural lineage credit
⬇ Download (15 pp.)
Standalone Robotics / Vision · 15 Pages

KrumpRobot Physical AI Paper

Pure computer vision, biomechanics, and closed-loop humanoid control paper (zero quantum circuits) targeting IEEE RA-L, ICRA, and SIGGRAPH. Pairs monocular 3D recovery and causal GRU control with 1,000 Hz floating-base MuJoCo 4.0.1 Unitree G1 contact verification.

  • Author: Arun Nadarasa
  • Pipeline: Motion2MixamoRig (2,953 frames) → 1.01M GRU → MuJoCo 4.0.1 Unitree G1 WBC
  • Benchmarks: 5/5 primitive survival (vs. 0/5 open-loop), 60s endurance, 0.52° neural RMSE
⬇ Download (15 pp.)
Multilingual Open Science · Select Language

Master Monograph (English · 58 Pages)

⬇ Download English PDF
Direct PDF links: EN FR DE NL JA KO ZH FIL HI TA
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02 · Embodied Geometry

Interactive 3D Bloch Kinesphere & Laban–Krump–Quantum Dictionary

Every solo dancer inhabits a personal Bloch Kinesphere: high chest-lifted extension encodes |0⟩ (LIVE, +Z), grounded low knee-bend stance encodes |1⟩ (BUCK, −Z), and mid-level horizontal directional reach spans the coherent superposition equator (|0⟩ + e^{iφ}|1⟩)/√2.

3D Bloch Kinesphere Simulator

Drag sphere to orbit
S² Kinesphere · |0⟩ LIVE (+Z) ↔ |1⟩ BUCK (−Z)
Tap a Krump gate button above or drag sliders below to transform |ψ⟩ smoothly.
60°
45°
P(|0⟩ · LIVE) 75.0%
P(|1⟩ · BUCK) 25.0%

Laban Effort × Krump × Unitary Gate

Select any of the four Laban Effort Factors or eight Laban Basic Effort Actions to inspect its biomechanical signature and compiled operator under F_DisCo : C_Krump → FHilb.

8 Laban Basic Effort Actions (Weight × Time × Space)

03 · Applied Category Theory & Trapped-Ion Emulation

DisCoPy Frobenius Duet & Quantinuum Helios-1E-lite Verification

Choreographic phrases form morphisms in a dagger-compact symmetric monoidal category C_Krump. Sequential 8-counts compose vertically (g ∘ f), side-by-side duets tensor horizontally (f ⊗ g), non-verbal call-and-response forms an entanglement cap η_D : I → D ⊗ D, and a joint climax freeze forms a Bell cup ε_D : D ⊗ D → I.

5-Layer Frobenius Duet Diagram

η_D : Bell Cap |Φ+⟩ Dancer A Dancer B CHEST POP · Z JAB · X σ ARM SWING · Rx BUCK HOP · S ε_D Climax → |01⟩ (99.41% Helios-1E-lite)

10-Qubit Dynamic Guppy Playpond

Open Playpond ↗

Compiles to Quantinuum HUGR in browser Pyodide (guppylang v1.0.3+) with mid-circuit hype-ancilla measurement (measure(q8)) and conditional Bell branching: 

from guppylang import guppy
from guppylang.std.quantum import qubit, measure, h, z, ry, rz, cx, t, angle
from guppylang.std.builtins import output

@guppy
def main() -> None:
    # 4 qubits Dancer A, 4 qubits Dancer B, 2 Hype Referee Ancillae
    q0, q1, q2, q3 = qubit(), qubit(), qubit(), qubit()
    q4, q5, q6, q7 = qubit(), qubit(), qubit(), qubit()
    q8, q9 = qubit(), qubit()

    h(q0); h(q4)
    ry(q1, angle(0.785398)); ry(q5, angle(0.785398))
    cx(q0, q1); cx(q4, q5)
    rz(q2, angle(1.570796)); rz(q6, angle(1.570796))
    cx(q1, q2); cx(q5, q6); cx(q2, q3); cx(q6, q7)

    # Mid-circuit measurement of Hype Referee ancilla q8
    h(q8); cx(q3, q8); cx(q7, q8); t(q8)
    hype_active = measure(q8).read()

    if hype_active:
        z(q2); z(q6)           # Thoracic CHEST POP phase kick
        cx(q0, q4); cx(q1, q5) # Cross-dancer Bell lock

    output("hype", hype_active)
    output("q0", measure(q0).read())
    output("q4", measure(q4).read())
Sealed Nexus Helios-1E-lite Job Receipts:
• 5-Step Interference Ladder (d43f26d9, 1,280 shots): Constructive P(|1⟩)=0.9961, Destructive P(|0⟩)=1.0000, R² = 0.9942.
• Frobenius Duet Uncompute (a411dac7, 1,024 shots): 1,018 / 1,024 in |01⟩ (99.41% fidelity).

04 · Standalone Physical AI & Humanoid Robotics

Motion2MixamoRig & KrumpRobot (1:38 Full Choreography @ 140 BPM)

Standard human motion priors over-smooth ballistic street dance, erasing sub-20 ms chest-pop arrests and 3.8× bodyweight floor stomps. Our two-stage pipeline recovers 2,955 full-choreography frames at 30 fps via GPU-batched YOLOv8x-pose + MotionBERT on Modal L40S, solves rest-relative parent-frame Kabsch rotations onto a 52-joint Mixamo skeleton, and trains a 1.01M-parameter phase-conditioned causal GRU humanoid controller.

Uncropped 4-Panel Verification Sample (812 × 1440 · 10.0 s clip): Source Performer · 2D Keypoints · 3D MotionBERT Pose · Retargeted Mixamo Y-Bot.
Interactive 3D WebGL Simulator (Full 98.5s Trajectory):
Inspect Unitree H1/G1 & skinned Mixamo Y-Bot kinematics in real time.
58 Bars · 140 BPM · 98.5 Seconds Click any phrase to jump

140 BPM Soundtrack & 6-Phrase Scrubber

Clicking any phrase switches the player to the full 1:38 session and jumps directly to that bar:

FL Studio 21 Master · 140 BPM 0:00 / 1:38
Jerk-Sensitive Loss
Preserves 96.8% of peak chest-pop acceleration vs. 61.4% under L2 MSE.
MuJoCo 4.0.1 Unitree G1 WBC
1,000 Hz unpinned 29-DoF G1: 5/5 phrases survived, 60s endurance, 0.52° neural RMSE.
⬇ PDF (15 pp.) MuJoCo Receipt Policy Receipt

05 · Multi-Qubit Scaling & Circuit Compression

Modal Quantum Scientist & Haiqu Benchmarks

Executed on Modal Cloud alongside Haiqu circuit-state compression and Sandia QUOPS volumetric protocols, contrasting Frobenius-structured Krump ansätze against unstructured hardware-efficient baselines across n = 4..10 qubits (rendered interactively via open-source Apache ECharts).

Barren plateau gradient variance retention from n=4 to n=10 qubits
Fig. A — Barren-Plateau Mitigation (n = 4..10 Qubits): Frobenius-structured Krump ansatz retains 5.89× higher parameter-shift gradient variance at 10 qubits (6.17×10⁻³ vs. 1.05×10⁻³ for Haar-random circuits).
Bipartite von Neumann entanglement entropy scaling
Fig. B — Bipartite Entanglement Entropy S(ρ_A): Controlled entanglement scaling (bits) across the 5 canonical Krump phenotypes without chaotic Page-curve thermalization (click legend items to filter qubit counts).
Quantum Fisher Information scaling vs standard quantum limit
Fig. C — Kinesthetic Quantum Metrology (F_Q): Contrasts single-excitation SQL scaling (F_Q = n) and theoretical Heisenberg ceiling (n²) across n = 4..10 qubits, plus 12-qubit paired group-lock (I_Q = 40.0, 3.33× SQL).
Haiqu circuit depth compression scaling
Fig. D — Haiqu Circuit-State Depth Compression: Compresses raw two-qubit gate depth (58 → 82 layers) down to a constant 10 layers (−82.8% to −87.8%) while holding state overlap fidelity ≥ 99.89%.

06 · Artistic Production & Cultural Lineage

11th Quantum Dimension — 60-Minute Theatrical Work (20 Dancers)

Co-conceived with choreographer Dakota Simao (known in the Krump community as Twin Bad Liks and Jr Outrage; Golden Buzzer on La France a un Incroyable Talent with 300M+ views worldwide), translating quantum mechanics into an emotionally visceral 1-hour narrative on overcoming domestic violence — supported by reactive Three.js / anime.js stage spatialization, ElevenLabs voice synthesis, and Moth Quantum sonic mapping.

Act I · 00–15 min · Corridor Grid

Classical Bits

20 dancers move in rigid clockwork lanes enacting binary entrapment (|0⟩ silent compliance vs. |1⟩ explosive outburst), accompanied by ElevenLabs monotonic narration and Moth Quantum click pulses.

Act II · 15–30 min · Constellation

Qubits & Superposition

Continuous 3D emotional Bloch kinesphere (α|0⟩ + β|1⟩): pleading Contemporary upper-body reach coexists with coiled Krump BUCK defense until percussive STOMP/JAB shocks collapse the state.

Act III · 30–45 min · Split-Field

Entanglement

10 non-separable Bell-state (|Φ⁺⟩) duets routed collision-free via OpenJij QUBO (E₀ = −7.3569), enacting non-local trauma-bond mirroring across stage distance without physical contact.

Act IV · 45–60 min · Expanding Circle

Interference & Liberation

Cycle-breaking phase inversion (Δφ = π, |A − A|² = 0): incoming kinetic aggression is absorbed into grounded floorwork rather than Δφ = 0 escalation, culminating in a unison session Kill-Off.

Dakota Simao (Twin Bad Liks / Jr Outrage) Repertoire:
🏆 France's Got Talent (300M+ Views) ↗ 🌟 Got Talent Global ↗ 🤝 Contemporary Krump Duet ↗ ▶ @dakotasimao ↗

07 · Sealed Computational Provenance

Multi-Platform Verification Census & Downloadable Receipts

Every quantitative claim in the monograph and companion papers is backed by a deterministic script or timestamped JSON receipt hosted directly in this repository.

Lane Platform / Stack Experiment / Formal Check Key Verified Result Receipt
K301a Quantinuum Nexus Helios-1E-lite 5-step Krump interference ladder (1,280 emulator shots; 0 physical QPU shots) P_cons = 0.9961, P_dest = 1.0000, R² = 0.9942 JSON d43f26d9
K301b Quantinuum Nexus Helios-1E-lite 5-layer Frobenius entangled duet Bell uncompute (1,024 emulator shots) 1,018 / 1,024 in |01⟩ (99.41% fidelity) JSON a411dac7
K302 DisCoPy v1.2.1 (FHilb) Snake identity, swap involution, bifunctorial interchange & CHSH violation Exact tensor norm diff < 10⁻¹⁵; S_CHSH = 2.8284 JSON Verified
K303 Modal Cloud Quantum Scientist 4–10 qubit barren plateaus, entanglement entropy & 12q Quantum Fisher Info 5.9× grad variance retention; I_Q = 40.0 (3.33× SQL) JSON Receipt
K304 Modal Cloud + Hugging Face Hub QKMLM 4-qubit tri-head VQC (2,000 train / 500 test synthetic benchmark) 98.60% foundation acc; 89.40% phenotype acc JSON Receipt
K305 Apple MPS + Modal Cloud PyTorch Motion2MixamoRig (2,953 frames @ 29.99 fps) + 1.01M-param KrumpRobot causal GRU 8.765×10⁻¹¹ FK; 2.32° in-seq error; 2.70 ms latency JSON Receipt
K306 OpenJij Simulated Quantum Annealing Act III Bell-pair stage routing QUBO + Haiqu circuit compression Ground energy E₀ = −7.3569 (0 vertex collisions); 85.7% depth cut Monograph §7
K307 TypeSafe Jev 1.14 Claim Checklist Automated schema-constrained anti-hype & classical-floor prose audit 0.33 µs 1q / 1.74 µs 4q classical floors disclosed JSON Audit
K308 PyTorch + scikit-learn Ablation Suite QKMLM classical bottleneck ablations & KrumpRobot 80%/20% temporal block split Classical MLP 99.80% (0.04 ms); temporal split 1.42° / 18.58° JSON Ablation
K309 Universal Knowledge Graph (JSON-LD) 10-domain ontological schema connecting pedagogy, DisCoPy, Helios, KrumpRobot & MuJoCo WBC 92 semantic nodes · 156 directed relations · 0 dangling edges (v2.0.0) JSON-LD v2.0
K310 DisCoPy 1.2 + SymPy 1.14 + pytket 2.18 Functorial Krump theorem suite: 1,296 interchange phrases, non-Clifford magic & dual-channel demux 1,296/1,296 confluent; M₂ = 0.8301 b; max ‖Δ‖₂ = 2.1×10⁻⁸; 0.63 µs CPU JSON Proof
K311 AlphaGenome 2 (alphagenome 2.0.0) Live fast/slow gastrocnemius myocyte conditioning & 20-SNV empirical AVI Kuramoto pacing MYH1 2,307× vs motor neuron; MYHAS 5.94× fast/slow; ΔΦ = 3.1376 rad JSON Empirical
K312 MuJoCo 4.0.1 + mujoco_menagerie G1 Closed-loop 1,000 Hz floating-base Unitree G1 WBC: 3-controller ablation, 60s endurance & 2-G1 session 5/5 survived (vs. 0/5 open-loop); 5.40° RMSE; +58.7% jerk; 60s PASS; 0.52° neural JSON 33388a82

08 · Universal Multi-Domain Ontology · v2.0.0

Interactive Knowledge Graph Explorer

Explore all 92 semantic entities and 156 directed ontological relations across 10 domains — unifying Laban Movement Analysis, South Central LA Krump foundations, anatomical Bloch-kinesphere biomechanics, DisCoPy Frobenius string diagrams, Quantinuum Helios-1E-lite emulation, KrumpRobot MuJoCo 4.0.1 Physical AI, and classical ablation floors.

⬇ JSON-LD (85 KB)
90 / 90 nodes · 152 edges
Drag to pan · Scroll/pinch to zoom · Hover any node to focus its 1-hop neighborhood · Click a node to inspect its mathematical operator & relations

09 · Open Ecosystem & Academic Citation

Reproduce, Install Skill & Cite

Agent Skill & Live Cloud Artifacts

Install the open-source quantumkrump agent skill via ClawHub or launch the hosted Hugging Face Spaces and model repositories:

npx clawhub@latest install quantumkrump
🤗
Quantum Krump QKMLM Space
spaces/socialprescribing/quantumkrump
↗ 🤖
KrumpRobot 3D Physical AI Studio
spaces/socialprescribing/KrumpRobot
↗ 📦
KrumpRobot Model Weights & Preprint
socialprescribing/KrumpRobot
↗ 🦞
ClawHub Agent Skill Registry
clawhub.ai/arunnadarasa/quantumkrump
↗

BibTeX Citations