Quantum Superposition — Bloch Sphere
受众: University类别: Physics
简介
A simplified 2D Bloch sphere representation shows a qubit state vector pointing in different directions representing superpositions of |0⟩ and |1⟩. Measurement collapses the state to a pole. The normalization condition |α|² + |β|² = 1 is shown.
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Quantum Superposition — Bloch Sphere
Description
A simplified 2D Bloch sphere representation shows a qubit state vector pointing in different directions representing superpositions of |0⟩ and |1⟩. Measurement collapses the state to a pole. The normalization condition |α|² + |β|² = 1 is shown.
Phases
| # | Phase Name | Duration | Description |
|---|---|---|---|
| 1 | State Vector | 2s | |
| 2 | Bloch Sphere | 3s | Circle with |
| 3 | Superposition | 3s | State vector rotates through various angles |
| 4 | Measurement | 2.5s | State collapses to |
| 5 | Normalization | 2s |
Layout
+--------------------------------------------------+
| Quantum Superposition |
| |
| |0⟩ |
| ↑ |
| ←——/——→ Bloch sphere |
| ↓ ↗ state vector ψ |
| |1⟩ |
| |
| |ψ⟩ = α|0⟩ + β|1⟩ |α|² + |β|² = 1 |
+--------------------------------------------------+
Area Descriptions
- Center: Bloch sphere (circle) with state vector
- Top/bottom poles labeled |0⟩ and |1⟩
- Right: probability bar/display
Assets & Dependencies
- Fonts: LaTeX / sans-serif
- Manim version: ManimCE 0.19.1
Notes
- University level
- Use simplified 2D Bloch circle
- Show state collapse as sudden snap to pole
- Colors: |0⟩ = blue, |1⟩ = red, superposition = purple