Algorithms | Quantum computing

Magic state distillation

Magic state distillation is a process that takes in multiple noisy quantum states and outputs a smaller number of more reliable quantum states. It is considered by many experts to be one of the leading proposals for achieving fault tolerant quantum computation. Magic state distillation has also been used to argue that quantum contextuality may be the "magic ingredient" responsible for the power of quantum computers. Magic state distillation was first proposed by in 2004.A related proposal with detailed analysis was given by Sergey Bravyi and Alexei Kitaev in 2004. Thanks to the Gottesmanโ€“Knill theorem, it is known that some quantum operations (operations in the Clifford algebra) can be perfectly simulated in polynomial time on a probabilistic classical computer. In order to achieve universal quantum computation, a quantum computer must be able to perform operations outside this set. Magic state distillation achieves this, in principle, by concentrating the usefulness of imperfect resources, represented by mixed states, into states that are conducive for performing operations that are difficult to simulate classically. A variety of qubit magic state distillation routines and distillation routines for qubits with various advantages have been proposed. (Wikipedia).

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Related pages

Clifford algebra | Five-qubit error correcting code | Gottesmanโ€“Knill theorem | Quantum logic gate