Summary
With vectors and matrices

• state vectors
• • vectors that point to a specific point in space
• • Bloch sphere
• matrix operations

Representing Qubit States

• Statevectors
• Qubit Notation
• |0⟩ |1⟩

The Bloch Sphere

• |q⟩=α|0⟩+β|1⟩

Single Qubit Gates

• The Pauli Gates (X-gate、Y-gate、Z-gate)
• The Hadamard Gate(H-gate)
• The I-gate (Identity gate)
• The S-gates
• The T-gate
• General U-gates

With qubits and quantum gates -> design algorithms (different from classical ones)
Hope to find solutions to problems that are intractable for classical computers