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Non-adiabatic geometric quantum computation with trapped ions

Xin-Qi Li·Li-Xiang Cen·Guo-Xiang Huang·Lei Ma·YiJing Yan
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Abstract

We propose a non-adiabatic scheme for geometric quantum computation with trapped ions. By making use of the Aharonov-Anandan phase, the proposed scheme not only preserves the globally geometric nature in quantum computation, but also provides the advantage of non-adiabaticity that overcomes the problem of slow evolution in the existing adiabatic schemes. Moreover, the present scheme requires only two atomic levels in each ion, making it an appealing candidate for quantum computation.

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Xin-Qi Li, Li-Xiang Cen, Guo-Xiang Huang, Lei Ma, YiJing Yan. 2003-02-13. Non-adiabatic geometric quantum computation with trapped ions. https://doi.org/10.1103/physreva.66.042320

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