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-rw-r--r--source/know/concept/ghz-paradox/index.md10
1 files changed, 5 insertions, 5 deletions
diff --git a/source/know/concept/ghz-paradox/index.md b/source/know/concept/ghz-paradox/index.md
index 9951883..758e12f 100644
--- a/source/know/concept/ghz-paradox/index.md
+++ b/source/know/concept/ghz-paradox/index.md
@@ -11,13 +11,13 @@ layout: "concept"
The **Greenberger-Horne-Zeilinger** or **GHZ paradox**
is an alternative proof of [Bell's theorem](/know/concept/bells-theorem/)
-that does not use inequalities,
-but the three-particle entangled **GHZ state** $$\ket{\mathrm{GHZ}}$$ instead,
+that does not use inequalities, but instead
+the three-particle entangled **GHZ state** $$\ket{\mathrm{GHZ}}$$:
$$\begin{aligned}
\boxed{
\ket{\mathrm{GHZ}}
- = \frac{1}{\sqrt{2}} \Big( \ket{000} + \ket{111} \Big)
+ \equiv \frac{1}{\sqrt{2}} \Big( \ket{000} + \ket{111} \Big)
}
\end{aligned}$$
@@ -49,8 +49,8 @@ $$\begin{aligned}
In other words, the GHZ state is a simultaneous eigenstate of these composite operators,
with eigenvalues $$+1$$ and $$-1$$, respectively.
-Let us introduce two more operators in the same way,
-so that we have a set of four observables,
+Let us do the same for two more operators,
+so that we have a set of four observables
for which $$\ket{\mathrm{GHZ}}$$ gives these eigenvalues:
$$\begin{aligned}