Differences

This shows you the differences between two versions of the page.

--- en:mathematics_at_the_rescue [2021/01/10 23:41]
jaddawyn
+++ en:mathematics_at_the_rescue [2021/01/16 10:29] (current)
@@ Line 71: / Line 71: @@
 ;#;
+===== Quantum matrices =====
+I'll push a bit further with mathematics because there is another important way to describe quantum states: using matrices.\\
+\\
+The quantum state <m>delim{|}{psi}{}> = alpha delim{|}{0}{}> + beta delim{|}{1}{}></m> can also be defined with the following matrix:
+;#;
+<m 15>delim{[}{matrix{2}{1}{alpha beta}}{]}</m>
+;#;
+The top entry is the amplitude for |0> and the bottom entry the amplitude for |1>.
+\\
+\\
+If you are not comfortable with matrices I invite you to review how it works and specifically how to multiply it. I won't do that here and you'll find plenty of courses about that on the web. For instance:\\
+;#;
+[[https://www.wikihow.com/Understand-the-Basics-of-Matrices]]
+;#;
+\\
+\\
+The matrix representing a qubit perfectly balanced between |0> and |1> is:\\
+;#;
+<m 15>delim{[}{matrix{2}{1}{1/sqrt{2} 1/sqrt{2}}}{]}</m>
+;#;
+===== A little detail concerning amplitudes ... =====
+There is a little joke concerning amplitudes: they are complex numbers...No don't leave!!!\\
+It is not a big deal because the most of the time we are using them as normal numbers. \\
+\\
+I wanted to indicate this detail because it shows how crazy quantum world is.
+\\
+\\
 <columns 100% 50% ->
-Previous: [[en:this_little_thing_called_qbit|This little thing called qubit]]
+Previous: [[en:this_little_thing_called_qubit|This little thing called qubit]]
 <newcolumn>
 ;;#
-Next: [[en:quantum_states_matrices|Quantum states as matrices]]
+Next: [[en:quantum_registers|Quantum registers]]
 ;;#
 </columns>

Quantum leap

User Tools

Site Tools

Differences

Page Tools