Exact two-qubit universal quantum circuit

Details Exact two-qubit universal quantum circuit Exact two-qubit universal quantum circuit

2002-12-18

arxiv.org/abs/quant-ph/0212109v2

Phys. Rev. Lett. 91, 027903 (2003)

Physics

Quantum Physics

5 pages

Scientific paper

10.1103/PhysRevLett.91.027903

We provide an analytic way to implement any arbitrary two-qubit unitary operation, given an entangling two-qubit gate together with local gates. This is shown to provide explicit construction of a universal quantum circuit that exactly simulates arbitrary two-qubit operations in SU(4). Each block in this circuit is given in a closed form solution. We also provide a uniform upper bound of the applications of the given entangling gates, and find that exactly half of all the Controlled-Unitary gates satisfy the same upper bound as the CNOT gate. These results allow for the efficient implementation of operations in SU(4) required for both quantum computation and quantum simulation.

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