A universal quantum circuit for two-qubit transformations with three CNOT gates

Details A universal quantum circuit for two-qubit transformations with three CNOT gates A universal quantum circuit for two-qubit transformations with three CNOT gates

2003-07-24

arxiv.org/abs/quant-ph/0307177v2

Phys. Rev. A 69, 010301 (2004)

Physics

Quantum Physics

3 pages, 7 figures. One theorem, one author and references added. Change of notational conventions. Minor correction in Theore

Scientific paper

10.1103/PhysRevA.69.010301

We consider the implementation of two-qubit unitary transformations by means of CNOT gates and single-qubit unitary gates. We show, by means of an explicit quantum circuit, that together with local gates three CNOT gates are necessary and sufficient in order to implement an arbitrary unitary transformation of two qubits. We also identify the subset of two-qubit gates that can be performed with only two CNOT gates.

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