Generic Two-Qubit Photonic Gates Implemented by Number-Resolving Photodetection

Details Generic Two-Qubit Photonic Gates Implemented by Number-Resolving Photodetection Generic Two-Qubit Photonic Gates Implemented by Number-Resolving Photodetection

2009-08-18

arxiv.org/abs/0908.2482v2

Phys. Rev. A 81, 012303 (2010)

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevA.81.012303

We combine numerical optimization techniques [Uskov et al., Phys. Rev. A 79, 042326 (2009)] with symmetries of the Weyl chamber to obtain optimal implementations of generic linear-optical KLM-type two-qubit entangling gates. We find that while any two-qubit controlled-U gate, including CNOT and CS, can be implemented using only two ancilla resources with success probability S > 0.05, a generic SU(4) operation requires three unentangled ancilla photons, with success S > 0.0063. Specifically, we obtain a maximal success probability close to 0.0072 for the B gate. We show that single-shot implementation of a generic SU(4) gate offers more than an order of magnitude increase in the success probability and two-fold reduction in overhead ancilla resources compared to standard triple-CNOT and double-B gate decompositions.

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