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Simplifying quantum logic using higher-dimensional Hilbert spaces

Abstract : Quantum computation promises to solve fundamental, yet otherwise intractable, problems across a range of active fields of research. Recently, universal quantum logic-gate sets--the elemental building blocks for a quantum computer--have been demonstrated in several physical architectures. A serious obstacle to a full-scale implementation is the large number of these gates required to build even small quantum circuits. Here, we present and demonstrate a general technique that harnesses multi-level information carriers to significantly reduce this number, enabling the construction of key quantum circuits with existing technology. We present implementations of two key quantum circuits: the three-qubit Toffoli gate and the general two-qubit controlled-unitary gate. Although our experiment is carried out in a photonic architecture, the technique is independent of the particular physical encoding of quantum information, and has the potential for wider application.
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https://hal-iogs.archives-ouvertes.fr/hal-00569583
Contributor : Philippe Grangier <>
Submitted on : Friday, February 25, 2011 - 2:10:57 PM
Last modification on : Wednesday, September 16, 2020 - 5:42:35 PM

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Benjamin P. Lanyon, Marco Barbieri, M.P. Almeida, Thomas Jennewein, Timothy C. Ralph, et al.. Simplifying quantum logic using higher-dimensional Hilbert spaces. Nature Physics, Nature Publishing Group, 2009, 5, pp.134 - 140. ⟨10.1038/nphys1150⟩. ⟨hal-00569583⟩

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