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--- en:quantum_registers [2021/01/15 18:08]
jaddawyn
+++ en:quantum_registers [2021/01/16 10:29] (current)
@@ Line 14: / Line 14: @@
 If we would have two sources with two detectors, each qubit would be in the state seen in the previous chapter:\\
 ;#;
-<m 15>delim{|}{psi}{}> = alpha delim{|}{0}{}> + beta delim{|}{1}{}></m>
+<m 13>delim{|}{psi}{}> = alpha delim{|}{0}{}> + beta delim{|}{1}{}></m>
 ;#;
 But since we have a single source emitting two entangled qubits we have amplitudes on all possible result:
 ;#;
-<m 15>delim{|}{psi}{}> = alpha delim{|}{00}{}> + beta delim{|}{01}{}> + gamma delim{|}{10}{}> + delta delim{|}{11}{}></m>
+<m 13>delim{|}{psi}{}> = alpha delim{|}{00}{}> + beta delim{|}{01}{}> + gamma delim{|}{10}{}> + delta delim{|}{11}{}></m>
 ;#;
 And because Greek letters does not help to know the corresponding state we use only alpha with the state in little for amplitudes:
 ;#;
-<m 15>delim{|}{psi}{}> = alpha_00 delim{|}{00}{}> + alpha_01 delim{|}{01}{}> + alpha_10 delim{|}{10}{}> + alpha_11 delim{|}{11}{}></m>
+<m 13>delim{|}{psi}{}> = alpha_00 delim{|}{00}{}> + alpha_01 delim{|}{01}{}> + alpha_10 delim{|}{10}{}> + alpha_11 delim{|}{11}{}></m>
 ;#;
 And the associated matrix is:
 ;#;
-<m 15>XXX</m>
+<m 13>delim{[}{matrix{4}{1}{alpha_00 alpha_01 alpha_10 alpha_11}}{]}</m>
 ;#;
 \\
@@ Line 37: / Line 37: @@
   * particles should not be considered as two separate objects but as one.
-It has been demonstrated that the two particles does not share the information at their start. Therefore they must exchange the information when measured by detectors. But that would mean that the information is transmitted faster than light. What is impossible according to Einstein's special relativity.\\
+In 80's, it has been demonstrated that the two particles does not share the information at their start. Therefore they must exchange the information when measured by detectors. But that would mean the information is transmitted faster than light. What is impossible according to Einstein's special relativity.\\
 \\
-This mystery has not been solved and we still don't know how particles share amplitudes of probabilities. We will come back on this mystery later because it is fascinating.
+This mystery has not been solved and we still don't know how particles share amplitudes of probabilities. We will come back on this mystery later because it is fascinating. It will also leads us to another big notion of quantum physics: **quantum teleportation**.
 \\
 \\

Quantum leap

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