Quantum Tic-Tac-Toe
By: Laura Lewis
Anita Roman
Classical Physics
 Single state at a time
 Energy determines
motion
 Deterministic
Classical Simulation
12
10
 Classical Simulation
8
Time 1
6
Time 2
Time 3
4
2
0
0
2
4
6
Time (seconds)
8
Quantum Mechanics
Only applies to very small, submicroscopic
things
Not deterministic - probabilistic
Many places at one time
Measurement creates state change, and
collapses wave function
Superposition
Many places or states at once
Only applied to small things in quantum
physics
Wave Function/ Probability Density
Wave function is spread out
Highest and lowest probability
Not deterministic
There is an average of the probability
http://www.falstad.com/qm1d/
Quantum Simulation
650
600
Measurement 1
550
Measurement 2
500
Measurement 3
450
0
5
10
15
Measurement
Collapses wave function
Creates a very small probability of
something being in varied places/states
Includes making electrons interact with
something bigger than the electron
Tic-Tac-Toe
Sudoku
http://www.paradigmpuzzles.com/QT3Play
.htm
http://www.paradigmpuzzles.com/QT3Play
.htm
Entanglement
Superposition