What is a Qubit?

A qubit (quantum bit) is like a regular computer bit, but with a twist! While a regular bit can only be 0 or 1, a qubit can be both at the same time.

Think of it like a spinning coin: While it's spinning, you can't say whether it's heads or tails. In a sense, it is both at once. When you catch it, it "collapses" to one or the other.

Superposition

We write a qubit's state as:

This is called superposition. The values α (alpha) and β (beta) tell us how "much" of |0⟩ and |1⟩ the qubit has.

In our game:

• |0⟩ = Enemy survives (full health)
• |1⟩ = Enemy dies

Probability

The chance of measuring |1⟩ (killing the enemy) is |β|² — the squared size of β. If β is 0.7 (70%), there's a 49% chance to kill!

Visualizing a Qubit

We can picture a qubit as a point on a sphere called the Bloch sphere. Every possible qubit state is a point on this sphere!

The Poles

Quantum Gates = Rotations

When you place a tower, you're applying a quantum gate—which rotates the enemy's state on the sphere:

• Rx gates — Rotate around X-axis
• Ry gates — Rotate around Y-axis
• Rz gates — Rotate around Z-axis
• Hadamard (H) — Creates superposition!

Measurement = Collapse!

When you measure an enemy, their quantum state collapses to one of the poles. That's when we find out if they live or die!

Types of Towers

Strategy Tips

• Build rotation towers first to move enemies toward the |1⟩ state (south pole)
• Place measurement towers at the end of the path for the final kill attempt