Quantum amplitude amplification by phase noiseM. Sadgrove
Institute of Laser Science, The University of Electro-Communication 1-5-1 Chofugaoka, Chofu, 182-8585, Japan
received 31 March 2009; accepted in final form 15 May 2009; published June 2009
published online 24 June 2009
I consider a system in which an atom in a superposition of momentum eigenstates of a periodic potential is subject to periodic random phase jumps in that potential. If the j-th state in superposition is “marked" by giving the (j-1)-th state a phase flip, I show that for the correct amount of noise, a ~ 6 dB amplification of the marked state probability amplitude occurs, with no significant amplification in other states.
03.67.Ac - Quantum algorithms, protocols, and simulations.
03.75.-b - Matter waves.
05.40.Ca - Noise.
© EPLA 2009