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The Very Small  ⟷  The Very Large

Zoom in · matter
Zoom out · space
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The Double-Slit Experiment

👁 Observe which slit
electrons: 0
slow fast
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Counting & Adding in Base 2

0000
binary
=
0
decimal
2
3
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Bits as Cannonballs

binary addition0/6
carry
A
+B

Sum
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Qubits as Cannonballs

binary addition0/6
carry
A
+B

Sum
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Going Further

Where this lecture's notation comes from — and where to keep exploring.

Notation used in this lecture

The circuit diagrams and "cloud" superposition pictures used throughout this lecture are adapted from:

"Q is for Quantum"
Terry Rudolph
qisforquantum.org ↗
"Teaching quantum information science to high-school and early undergraduate students"
S. E. Economou, T. Rudolph & E. Barnes
arXiv:2005.07874 ↗
"Hello Quantum World!"
S. E. Economou & E. Barnes
arXiv:2210.02868 ↗
With thanks to Sophia Economou and Ed Barnes for sharing their enthusiasm for quantum outreach.
Keep exploring

A free, rigorous introduction to quantum computing by Terry Rudolph, starting from nothing more than basic arithmetic — the natural next step after this lecture.

Advanced reading

For a full, graduate-level mathematical treatment once you're ready to go deeper: