diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 6132760..d0deb51 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -216,6 +216,7 @@
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     "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730145119.png",
     "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730144713.png",
     "SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge",
@@ -233,7 +234,6 @@
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     "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730101435.png",
-    "SS2026/Quantum Computing/8. Ket Notation/Anhänge/Pasted image 20260730101012.png",
     "SS2026/Quantum Computing/8. Ket Notation/Anhänge",
     "SS2026/Quantum Computing/8. Ket Notation",
     "SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md",
diff --git a/SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730153305.png b/SS2026/Quantum Computing/Bernstein-Vazirani/Anhänge/Pasted image 20260730153305.png
new file mode 100644
index 0000000..e9ccace
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diff --git a/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md b/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md
index 47d0ec0..c7ee826 100644
--- a/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md	
+++ b/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md	
@@ -19,3 +19,15 @@ The resulting state is calculated as follows:
 
 ![[Pasted image 20260730145119.png]]
 
+We are now in superposition between all classical possibilities on the top wire
+and in $\ket{-}$ on the bottom wire.
+
+
+Next we apply the unitary $U_f$ on both wires.
+The Unitary is defined as:
+$U_f \ket{x,y} = \ket{x,y \otimes f(x)}$ 
+This unitary applies the function f to the bottom wire y.
+It can be calculated as follows:
+
+![[Pasted image 20260730153305.png]]
+