Article

Optimal number of controlled-NOT gates to generate a three-qubit state

Physical Review A (Impact Factor: 3.04). 03/2008; 77(3). DOI: 10.1103/PhysRevA.77.032320

ABSTRACT The number of two-qubit gates required to deterministically transform a three-qubit pure quantum state into another is discussed. We show that any state can be prepared from a product state using at most three CNOT gates and that starting from the Greenberger-Horne-Zeilinger state, only two suffice. As a consequence, any three-qubit state can be transformed into any other using at most four CNOT gates. Generalizations to other two-qubit gates are also discussed.

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