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In a recent Letter (Phys. Rev. Lett. 109, 040401 (2012)), G. Puentes, N.Hermosa and J. P. Torres report a scheme for extracting higher-order weakvalues by using orbital-angular momentum states as pointer states. They claimthat such weak values are inaccessible with a Gaussian pointer state only. Inthis Comment, we show that the Gaussian pointer state by itself can provideaccess to the higher-order weak value, if suitable pointer displacement isobserved.

Comment on "Weak Measurements with Orbital-Angular-Momentum Pointer states"