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Fix numerical errors in density matrix and Landauer energy values #105

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Fix numerical errors in density matrix and Landauer energy values #105

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Initial plan
Copilot Feb 27, 2026
7949e5d
Fix mathematical errors in quantum.md and blackroad-equations.md
Copilot Feb 27, 2026
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4 changes: 2 additions & 2 deletions equations/blackroad-equations.md
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Expand Up @@ -76,7 +76,7 @@ REAL = 37. The advantage = the axiom.

**Equation 12: Modified Landauer Bound (Ternary)**
```
E_min = k_B · T · ln(3) ≈ 4.5 × 10⁻²¹ J at room temperature
E_min = k_B · T · ln(3) ≈ 4.44 × 10⁻²¹ J at room temperature
```
Cost per ternary erasure. LANDAUER = CONCRETE = 93.

Expand Down Expand Up @@ -185,7 +185,7 @@ From page 21 (§175):

| Parameter | Value | Notes |
|-----------|-------|-------|
| k_B T ln(3) | ≈ 4.5 × 10⁻²¹ J | Ternary Landauer cost at room temp |
| k_B T ln(3) | ≈ 4.44 × 10⁻²¹ J | Ternary Landauer cost at room temp |
| η_ternary | ≈ 0.366 | Radix efficiency |
| η_binary | ≈ 0.347 | For comparison |
| DNA ops/sec | ~10¹⁴ in 100 μL | Chemical reaction rate |
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6 changes: 3 additions & 3 deletions equations/quantum.md
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Expand Up @@ -75,9 +75,9 @@ For a pure state |ψ⟩:

From page 24 (concrete computation):
```
ρ = [ 0.2219 0.3629 0.4062 ]
[ 0.3629 0.5941 0.6639 ]
[ 0.4062 0.6639 0.7401 ]
ρ = [ 0.2219 0.3631 0.4061 ]
[ 0.3631 0.5941 0.6644 ]
[ 0.4061 0.6644 0.7430 ]
```

Properties:
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