Comment on Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstate

Details Comment on Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstate Comment on Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstate

2007-07-24

arxiv.org/abs/0707.3612v1

Physics

Quantum Physics

3 pages

Scientific paper

In a recent letter [Phy. Rev. Lett. 95, 080502 (2005)], it is claimed that based on a new kind of quantum mechanical phase of wave function which is neither dynamical nor geometrical a new kind of phase gate for quantum computation is discovered. The origin of this phase is the adiabatic evolution of a dark state. I would like to point out that these claims are questionable. The so called new phase gate was based on a phase which was nothing new but has been known for decades. It is something which has no physical meaning and is not observable. It was also pointed out by [quant-ph/0509150v1] that [Phy. Rev. Lett. 95, 080502 (2005)] was incorrect and the phase is the known geometric phase. Here we present a totally different argument.

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