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1 | 1 | # Concepts |
2 | 2 |
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| 3 | +<div style="float: right; width: 240px; margin: 0 0 2em 2em; padding: 1em 1.25em; border-left: 3px solid var(--md-primary-fg-color, #536dfe); background: var(--md-code-bg-color, #f5f5f5); border-radius: 4px; font-size: 0.9em;" markdown> |
| 4 | + |
| 5 | +**Deep Dive: Mathematical Foundations** |
| 6 | + |
| 7 | +- [Complete Quaternion Theory](concepts/quaternion-theory.md) |
| 8 | +- [SU(2) Geometry](concepts/su2-geometry.md) |
| 9 | +- [Spinors and the Bloch Sphere](concepts/spinor-bloch.md) |
| 10 | +- [Quaternion Intuition](concepts/quaternion-intuition.md) |
| 11 | +- [Global Phase](concepts/global-phase.md) |
| 12 | + |
| 13 | +</div> |
| 14 | + |
| 15 | +### Mathematical Foundations |
| 16 | + |
| 17 | +The RQM platform is grounded in a precise mathematical layer. Before exploring the architecture, readers seeking a deeper understanding of the underlying theory can start here: |
| 18 | + |
| 19 | +- [Complete Quaternion Theory](concepts/quaternion-theory.md) — the source of truth for the SU(2) ↔ quaternion correspondence |
| 20 | +- [SU(2) Geometry](concepts/su2-geometry.md) — group structure of single-qubit gates |
| 21 | +- [Spinors and the Bloch Sphere](concepts/spinor-bloch.md) — state geometry and the Hopf fibration |
| 22 | + |
| 23 | +--- |
| 24 | + |
3 | 25 | This page explains the key design ideas behind the RQM platform: why it is built as a compiler-first system, what backend abstraction means in practice, and how the canonical lowering path works. |
4 | 26 |
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5 | 27 | --- |
@@ -107,13 +129,6 @@ The backend runs the circuit and returns a result object. Results are normalized |
107 | 129 |
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108 | 130 | These are defined once in `rqm-core` and shared across the entire stack. No backend reimplements them. |
109 | 131 |
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110 | | -For a deeper treatment of the math: |
111 | | - |
112 | | -- [Quaternion Intuition](concepts/quaternion-intuition.md) |
113 | | -- [Spinors and the Bloch Sphere](concepts/spinor-bloch.md) |
114 | | -- [SU(2) Geometry](concepts/su2-geometry.md) |
115 | | -- [Global Phase](concepts/global-phase.md) |
116 | | - |
117 | 132 | --- |
118 | 133 |
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119 | 134 | !!! tip "Start with the code" |
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