update

Author: mhjensen

doc/pub/week12/html/week12-bs.html

@@ -255,7 +255,7 @@ o quantum many-body simulations.
 
 
 !split
-===== Algorithm overview ====
+===== Algorithm overview =====
 
 Given an eigenvector $\vert u\rangle$ of a unitary $U$, the QPE
 algorithm estimates the phase $\phi$ using:
@@ -595,7 +595,7 @@ significant bits of $\phi$.
 ===== Hamiltonian simulation =====
 
 Let $H$ be a Hamiltonian. The evolution $U = \exp{-iHt}$ has
-eigenvectors $\ket{u}$ and eigenvalues $\exp{-iEt}$. QPE yields
+eigenvectors $\vert u\rangle$ and eigenvalues $\exp{-iEt}$. QPE yields
 estimates of $E$.
 
 Typical applications are
@@ -618,7 +618,7 @@ Prepare a state:
 The QAE estimates $a$ using Grover-like iterations and QFT.
 
 !split
-===== PennyLane Example: Energy Estimation ====
+===== PennyLane Example: Energy Estimation =====
 
 We simulate a simple diagonal Hamiltonian using QPE.
 !bc pycod