Magic State

A magic state is an ancillary quantum state prepared in advance to enable operations outside a quantum computer’s native instruction set, supporting universal fault-tolerant computation.

Universal computation requirement:

  • Clifford gates alone are not sufficient for universal quantum computation.
  • Non-Clifford operations (e.g., the T gate) are required.
  • In most architectures, a fault-tolerant T gate cannot be implemented efficiently.
  • Magic state role:

  • Special states (like ∣𝑇⟩) are prepared and then consumed to mimic the operation of a T gate.
  • This process enables universal computation while maintaining fault tolerance.
  • Processes involved:

  • Magic state preparation → Creating ancillary states.
  • Magic state distillation → Refining noisy states into high-fidelity ones.
  • Magic state injection → Using the prepared state within a circuit to implement non-Clifford gates.
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