Magic State Distillation | 15-to-1 Bravyi-Kitaev T-State Purification
Quick Technical Answer:
Magic State Distillation is a protocol that purifies multiple copies of noisy non-Clifford states (such as |T⟩ = (|0⟩ + e^{iπ/4}|1⟩)/√2) into fewer copies with significantly higher fidelity using only Clifford operations and syndrome measurement.
Formula / Unitary:
15 \text{ noisy } |T\rangle \xrightarrow{\text{Bravyi-Kitaev}} 1 \text{ distilled } |T\rangle, \quad \epsilon_{\text{out}} \approx 35 \epsilon_{\text{in}}^3
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Frequently Asked Questions
Why does magic state distillation consume so many physical qubits?
Because the T gate cannot be implemented transversally in 2D surface codes, magic state factories often account for up to 90% of the total physical qubits in a fault-tolerant quantum computer.