From 9b41b26f62e8feff78293d0837d6662f5d9a699c Mon Sep 17 00:00:00 2001
From: Joshua Payne <snare117@gmail.com>
Date: Sat, 4 May 2019 01:00:04 -0700
Subject: [PATCH] Update vqe.rst

---
 docs/vqe.rst | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/vqe.rst b/docs/vqe.rst
index 6c152c4..c0e7927 100644
--- a/docs/vqe.rst
+++ b/docs/vqe.rst
@@ -20,7 +20,7 @@ The quantum subroutine has two fundamental steps:
 2. Measure the expectation value :math:`\langle\,\Psi(\vec{\theta})\,|\,H\,|\,\Psi(\vec{\theta})\,\rangle`.
 
 The `variational principle <https://en.wikipedia.org/wiki/Variational_method_(quantum_mechanics)>`_ ensures
-that this expectation value is always greater than the smallest eigenvalue of :math:`H`.
+that this expectation value is always greater than or equal to the smallest eigenvalue of :math:`H`, with equality if and only if :math:`\Psi` is exactly equal to the wave function of the ground state of the studied system.
 
 This bound allows us to use classical computation to run an optimization loop to find
 this eigenvalue: