Quantum Theory Made Easy

1
Quantum Theory Made Easy
Classical
Quantum
probabilities
amplitudes
p0
a0
0
0
p1
a1
1
1
pi is a real number
ai is a complex number
p0p11
a02a12 1
Prob(i)pi
Prob(i)ai2
qubit
bit
2
Quantum Theory Made Easy
Classical Evolution
Quantum Evolution
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
1
transition probabilities
transition amplitudes
unitary matrix
stochastic matrix
3
Interference
0
0
1
1
qubit input
0
50
100
0
1
50
measure
0
50
0
1
50
100
measure
4
Interfering Pathways
1.0 H
100 H
0.707
0.707
50
50
0.707 H
0.707 C
50 H
0.707
50 C
90
0.707
10
0.707
80
-0.707
20
1.0 C
0.0 H
85 C
15 H
Always addition!
Subtraction!
Classical
Quantum
5
Superposition
Qubits
amplitudes
a0
0
a1
1
ai is a complex number
Schrödingers Cat
( ? ?)
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v2