mirror of
https://github.com/blackboxprogramming/simulation-theory.git
synced 2026-03-17 07:57:26 -05:00
Fix mathematical errors in quantum.md and blackroad-equations.md
Co-authored-by: blackboxprogramming <118287761+blackboxprogramming@users.noreply.github.com>
This commit is contained in:
@@ -76,7 +76,7 @@ REAL = 37. The advantage = the axiom.
|
|||||||
|
|
||||||
**Equation 12: Modified Landauer Bound (Ternary)**
|
**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.
|
Cost per ternary erasure. LANDAUER = CONCRETE = 93.
|
||||||
|
|
||||||
@@ -185,7 +185,7 @@ From page 21 (§175):
|
|||||||
|
|
||||||
| Parameter | Value | Notes |
|
| 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_ternary | ≈ 0.366 | Radix efficiency |
|
||||||
| η_binary | ≈ 0.347 | For comparison |
|
| η_binary | ≈ 0.347 | For comparison |
|
||||||
| DNA ops/sec | ~10¹⁴ in 100 μL | Chemical reaction rate |
|
| DNA ops/sec | ~10¹⁴ in 100 μL | Chemical reaction rate |
|
||||||
|
|||||||
@@ -75,9 +75,9 @@ For a pure state |ψ⟩:
|
|||||||
|
|
||||||
From page 24 (concrete computation):
|
From page 24 (concrete computation):
|
||||||
```
|
```
|
||||||
ρ = [ 0.2219 0.3629 0.4062 ]
|
ρ = [ 0.2219 0.3631 0.4061 ]
|
||||||
[ 0.3629 0.5941 0.6639 ]
|
[ 0.3631 0.5941 0.6644 ]
|
||||||
[ 0.4062 0.6639 0.7401 ]
|
[ 0.4061 0.6644 0.7430 ]
|
||||||
```
|
```
|
||||||
|
|
||||||
Properties:
|
Properties:
|
||||||
|
|||||||
Reference in New Issue
Block a user