DeepPractise
DeepPractise

Qubit

The basic unit of quantum information, described by a normalized state in a 2D complex vector space.

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A qubit is the basic unit of quantum information. Unlike a classical bit, a qubit can be in a superposition of basis states.

Intuition

A qubit is something you can rotate and interfere, not just store 0/1.

Math / formal explanation

A qubit lives in a 2D complex vector space, commonly written:

ψ=α0+β1.|\psi\rangle = \alpha|0\rangle + \beta|1\rangle.

Example

The state +|+\rangle is a common superposition:

+=(0+1)/2.|+\rangle = (|0\rangle + |1\rangle)/\sqrt{2}.

Turtle Tip

Turtle Tip

When you learn new gates, always ask: “How does this change the amplitudes?”

Common pitfalls

Quick check

  1. What constraint must amplitudes satisfy?
α2+β2=1.|α|^2 + |β|^2 = 1.