Geometric nature in adiabatic evolution of dark eigenstates

Physics – Quantum Physics

Scientific paper

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2 pages

Scientific paper

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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