From fda947364c33ea7f6273a7f3ad1e8898edbe1754 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sun, 29 Sep 2024 22:15:59 +0200
Subject: Improve knowledge base

---
 source/know/concept/no-cloning-theorem/index.md | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

(limited to 'source/know/concept/no-cloning-theorem/index.md')

diff --git a/source/know/concept/no-cloning-theorem/index.md b/source/know/concept/no-cloning-theorem/index.md
index 840a598..9c8b11d 100644
--- a/source/know/concept/no-cloning-theorem/index.md
+++ b/source/know/concept/no-cloning-theorem/index.md
@@ -30,14 +30,14 @@ $$\begin{aligned}
     \ket{0} \ket{?}
     \:\:\longrightarrow\:\:
     \ket{0} \ket{0}
-    \qquad \quad
+    \qquad \qquad
     \ket{1} \ket{?}
     \:\:\longrightarrow\:\:
     \ket{1} \ket{1}
 \end{aligned}$$
 
 If we feed this machine a superposition $$\ket{\psi} = \alpha \ket{0} + \beta \ket{1}$$,
-we *want* the following behaviour:
+we *want* the following behavior:
 
 $$\begin{aligned}
     \Big( \alpha \ket{0} + \beta \ket{1} \Big) \ket{?}
@@ -47,7 +47,7 @@ $$\begin{aligned}
     &= \Big( \alpha^2 \ket{0} \ket{0} + \alpha \beta \ket{0} \ket{1} + \alpha \beta \ket{1} \ket{0} + \beta^2 \ket{1} \ket{1} \Big)
 \end{aligned}$$
 
-Note the appearance of the cross terms with a factor of $$\alpha \beta$$.
+Note the appearance of the cross-terms with a factor of $$\alpha \beta$$.
 The problem is that the fundamental linearity of quantum mechanics
 dictates different behaviour:
 
@@ -59,7 +59,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 This is clearly not the same as before: we have a contradiction,
-which implies that such a general cloning machine cannot ever exist.
+which implies that such a general cloning machine cannot exist.
 
 
 
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