magic state distillation

Magic state distillation enhances the fidelity of entangled 'magic' states, which are crucial resources for executing fault-tolerant quantum computation. Because physical qubits are highly prone to errors, distilling multiple noisy copies into a pure state is required for reliable algorithms.

The technique works by repeatedly applying local operations and classical communication to multiple noisy copies of a quantum state. By combining these imperfect states, the system can distill a smaller number of higher-fidelity 'magic' states.

Magic state distillation carries an incredibly high resource overhead, often requiring thousands of physical qubits to distill a single logical qubit. This massive overhead remains one of the most significant hurdles in building scalable quantum computers.

Magic states are specialized quantum resources that enable universal quantum computation when combined with standard Clifford gates. Without injecting these distilled magic states, quantum computers cannot perform the complex operations needed to outperform classical machines.