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Qubit Errors

Types of qubit errors

  • Bit‑flip error: The probabilities of measuring 0 and 1 are swapped.
    α∣0⟩+β∣1⟩    →    β∣0⟩+α∣1⟩

  • Phase‑flip error: The relative phase of the qubit is inverted.
    α∣0⟩+β∣1⟩    →    α∣0⟩−β∣1⟩

    • Fault tolerance requirement

    A fault‑tolerant quantum computer must be resilient to both bit‑flip and phase‑flip errors. This resilience is achieved through quantum error correction codes, which encode logical qubits across multiple physical qubits to detect and correct errors without collapsing the quantum state.

    Why it matters

  • Bit‑flip errors resemble classical bit errors but occur in quantum systems.
  • Phase‑flip errors are uniquely quantum and have no classical analog.
  • Together, they represent the two fundamental error types that quantum systems must overcome to achieve reliable computation.
  • Without fault tolerance, large‑scale quantum algorithms like Shor’s Algorithm or Quantum Phase Estimation would fail due to accumulated noise.

    • Related Terms

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