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Geometric nature in adiabatic evolution of dark eigenstates

Shi-Liang Zhu·Z. D. Wang
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Abstract

In a recent Letter [Phys. Rev. Lett. {\bf 95}, 080502 (2005)], an interesting scheme was proposed to implement a type of conditional quantum phase gates with built-in fault-tolerant feature via adiabatic evolution of dark eigenstates. In this comment we elaborate the geometric nature of the gate scheme and clarify that it still belongs to a class of conventional geometric quantum computation.

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Shi-Liang Zhu, Z. D. Wang. 2005-09-21. Geometric nature in adiabatic evolution of dark eigenstates. https://arxiv.org/abs/quant-ph/0509150

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