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Bloch Wink
Interactive quantum state visualization on the Bloch sphere. Apply quantum gates,
create superpositions, and watch the state vector move in 3D space!
✓ X, Y, Z, H, S, T gates
✓ θ/φ angle sliders
✓ Orbit, Wiggle 😉, Random Walk animations
✓ Common states: |0⟩, |1⟩, |+⟩, |-⟩, |i⟩
Quantum Computing
Interactive
Playful
🌌∞
Mathematical Universe
Explore the deep connections between 20+ fundamental concepts in mathematics and physics.
Click nodes to see formulas, connections, and relationships!
✓ 20+ interconnected concepts
✓ Golden angle layout (φ)
✓ Category filtering
✓ Click to explore connections
Graph Theory
Connections
Educational
∞💎
Riemann Hypothesis Explorer
The $1,000,000 Millennium Prize problem! Visualize the critical line, zeros of the
ζ-function, Euler product, and quantum chaos connection.
✓ Critical line Re(s) = 1/2
✓ 15 known zeros visualized
✓ Euler Product animation
✓ Hilbert-Pólya quantum connection
Number Theory
Unsolved Problem
Enhanced
🌀🦋
Fractals & Chaos Explorer
Journey through infinite complexity! Mandelbrot, Julia sets, Burning Ship fractals,
Lorenz attractor, Logistic Map, and Hénon Map chaos systems.
✓ Interactive zoom & pan
✓ Live Lorenz butterfly effect
✓ Bifurcation diagrams
✓ Parameter controls for all systems
Fractals
Chaos Theory
NEW
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Magic Squares & Quantum Matrices
4,725 years of mathematical evolution! From Lo Shu (2800 BC) and Dürer's square to
Pauli matrices, Hadamard gate, SU(2) rotations, and CNOT entanglement.
✓ Lo Shu, Dürer, Order 5 squares
✓ Pauli, Hadamard, CNOT gates
✓ Live SU(2) Bloch sphere
✓ Magic → Quantum transformation
Ancient Math
Quantum Gates
NEW
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Wave Function Evolution
Watch the Schrödinger equation in action! Real-time quantum wave function evolution
through 5 different potentials. See tunneling, dispersion, and quantum oscillations LIVE!
✓ 5 quantum systems (Free, Well, Harmonic, Tunneling, Double Well)
✓ Real-time physics simulation
✓ |ψ|², Re(ψ), Im(ψ), Phase visualization
✓ Interactive controls (σ, k₀, speed)
Quantum Mechanics
Live Simulation
NEW
📊⚛️
Entropy Explorer
Three faces of entropy united! Compare Shannon (information), Von Neumann (quantum), and
Boltzmann (thermodynamic) entropy. See the deep mathematical unity across all domains!
✓ Shannon: -Σ pᵢ log pᵢ (bits)
✓ Von Neumann: -Tr(ρ log ρ) (qubits)
✓ Boltzmann: k ln(Ω) (thermodynamic)
✓ Side-by-side comparison mode
Information Theory
Thermodynamics
NEW
🌐⚛️
Entanglement Visualizer
Einstein's "spooky action at a distance"! Explore quantum entanglement with Bell states,
EPR paradox, CHSH inequality, and quantum teleportation. Measure and collapse entanglement LIVE!
✓ 4 Bell States: |Φ⁺⟩, |Φ⁻⟩, |Ψ⁺⟩, |Ψ⁻⟩
✓ EPR Paradox visualization
✓ CHSH Inequality (S ≤ 2√2 ≈ 2.828)
✓ Quantum Teleportation protocol
Quantum Entanglement
Nobel Prize 2022
NEW
🎮⚛️
Quantum Algorithms
See quantum computing achieve exponential speedup! Step through Grover's search, Deutsch-Jozsa,
Bernstein-Vazirani, and Simon's algorithms with interactive circuit diagrams.
✓ Grover's Search (O(√N) speedup)
✓ Deutsch-Jozsa (exponential speedup)
✓ Bernstein-Vazirani (linear speedup)
✓ Simon's Algorithm (exponential speedup)
Quantum Computing
Speedup
NEW
🔐⚛️
Shor's Algorithm & QFT
The algorithm that can break RSA encryption! Explore Quantum Fourier Transform, period finding,
and integer factorization with exponential speedup. See why quantum threatens cryptography!
✓ Quantum Fourier Transform visualization
✓ Period finding with QFT magic
✓ Factor numbers interactively
✓ RSA-2048: 300T years → 10 hours!
Cryptography
Factoring
NEW
🧮⚛️
Quantum Circuit Builder
Build your own quantum algorithms! Click to place gates (X, Y, Z, H, S, T, CNOT, SWAP),
watch state vectors evolve in real-time, see Bloch sphere updates, and export to QASM for real hardware!
✓ Drag & drop gates (8 single + 3 multi-qubit)
✓ Live state vector & probability visualization
✓ Preset circuits (Bell, GHZ, Teleportation)
✓ Export to OpenQASM 2.0!
Interactive
Build Circuits
NEW
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Quantum Error Correction
See why we need 1000 physical qubits for 1 logical qubit! Explore decoherence, bit-flip codes,
phase-flip codes, Shor's 9-qubit code, and surface codes. The biggest challenge in quantum computing!
✓ Animated decoherence visualization
✓ 3-qubit bit-flip code (interactive!)
✓ Shor's 9-qubit code
✓ Surface codes (5×5 lattice)
Error Correction
Fault Tolerance
NEW
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Quantum Games
Learn quantum mechanics through play! Quantum coin flip with superposition, quantum tic-tac-toe,
entanglement prediction game, and interference puzzles. Experience quantum phenomena hands-on!
✓ Quantum Coin Flip (superposition!)
✓ Quantum Tic-Tac-Toe (collapse on measure)
✓ Entanglement Game (predict correlations)
✓ Interference Puzzle (constructive/destructive)
Playful
Educational
🧪📊
VQE & QAOA
NISQ algorithms running TODAY! VQE for molecular simulation (drug discovery), QAOA for optimization
(finance, logistics). See real industry applications from Google, IBM, JP Morgan, BMW!
✓ VQE: Molecule energy calculation
✓ QAOA: MaxCut graph optimization
✓ Algorithm comparison & when to use each
✓ Industry timeline: 2019-2024 real results
NISQ Era
Industry
🔊🎵
Quantum Music
HEAR quantum mechanics! Superposition as chords, entanglement as harmony, interference as beats,
measurement as note collapse. Real audio synthesis with Web Audio API!
✓ Superposition Chords (adjust amplitudes!)
✓ Bell States as Musical Harmonies
✓ Interference Beats (constructive/destructive)
✓ Measurement Collapse (chord → single note)
Audio
Sonification
NEW