COLLECTION 03 · INTERACTIVE UTILITIES

Spooky
Utilities.

Make the maths move.

See gates turn a qubit state. Watch complex numbers slide, turn, and grow. Explore one idea at a time, right on your phone.

Choose a tool

Two playable previews · No account · Works offline when downloaded

PREDICT PLAY TURN DISCOVER

A SMALL LAB FOR BIG IDEAS

Pick something to explore.

Solo exploration or shared-screen discussion.

SINGLE-QUBIT GATES

Bloch Sphere.

One gate. Different ghost reactions.

Compare one, two, or three independent starting states. Choose a gate, play its rotation, and swipe to look around the sphere.

Six gates: X, Y, Z, H, S, T
Slow motion and measurement probabilities

Explore Bloch Sphere

COMPLEX-NUMBER ARITHMETIC

Ghost Numbers.

Will your number slide, turn, or grow?

Predict the landing point before you play. Discover the difference between adding i and multiplying by i, then try your own numbers.

Six missions and Free Play
Tiltable 3D plane and Flat View

Play Ghost Numbers

Download both utilities for offline use ↓

TWO MAPS. DIFFERENT MEANINGS.

Look closely. Ask one more question.

The Bloch sphere represents one-qubit states; its ghosts compare separate preparations. The complex plane represents numbers with real and imaginary coordinates. A point on that plane is not a complete qubit state.

Built for exploration

These are playable previews. Their animation paths illustrate mathematical operations, rather than physical travel. Progress is saved on this browser when local storage is available.

No accounts, advertising, or analytics. Classroom learning gains have not been evaluated.