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Linear Algebra Refresher: Vectors

Quantum Computing Basics for Developers

Vectors in Quantum Computing

Quantum states are represented by vectors.

State Vectors

A qubit state $| ψ ̉$ (pronounced 'psi') is a vector in a 2D complex vector space.

  • State $| 0 ̉$: [1, 0]
  • State $| 1 ̉$: [0, 1]

If a qubit is in superposition, it is represented as: $| ψ ̉ = α | 0 ̉ + β | 1 ̉$

Where $α$ and $β$ are complex numbers representing probability amplitudes.