The Quantum Bit

Qubits

The Classical Bit

In classical computing, a bit is the fundamental unit of information. It can be either 0 or 1. Nothing in between.

Think of a light switch: it's either OFF (0) or ON (1). Simple and deterministic.

Interactive Classical Bit

Click to flip the bit , it's always exactly 0 or 1, nothing in between!

OFF

A classical bit is deterministic , you always know exactly what value it holds. No uncertainty, no probability.

💡 Compare this to the qubit demo below , notice the difference!

Enter the Qubit

A qubit (quantum bit) is the quantum version of a classical bit. Like a classical bit, when you measure it, you get either 0 or 1.

But here's the key difference: before measurement, a qubit can exist in a superposition of both states simultaneously.

Think of it like a coin spinning in the air—it's neither heads nor tails until it lands.

Interactive Qubit

Apply gates to manipulate the qubit, then measure to collapse the state!

|0⟩
Ground state
|0⟩ probability|1⟩ probability
100%0%
X = flipH = superposition

The Math (Simplified)

We represent a qubit's state as:

|ψ⟩ = α|0⟩ + β|1⟩

Where:

  • |0⟩ and |1⟩ are the two basis states
  • α and β are complex numbers called amplitudes
  • |α|² is the probability of measuring 0
  • |β|² is the probability of measuring 1
  • |α|² + |β|² = 1 (probabilities must sum to 1)

Key Intuitions

Measurement Collapses State

When you measure a qubit, it "collapses" to either 0 or 1. The superposition is destroyed. You can't peek without changing the system.

Probabilistic, Not Random

The outcomes are probabilistic but governed by precise mathematical rules. We can engineer these probabilities.

More Than Randomness

A qubit isn't just a random bit. The amplitudes can interfere with each other, which is the source of quantum computational power.

Lab Note #001

"The classical bit is too limited. I need something that can be BOTH at once... superposition is the key."

, Dr. M.

Q

01010001 01010101 01000010 01001001 01010100

Hint: Binary to ASCII... what's the fundamental unit?

Reflection Questions

  • 1How is a qubit different from a classical bit in terms of the information it can represent?
  • 2Why do you think we use probability amplitudes instead of just probabilities?
BackNext