| Issue |
EPL
Volume 86, Number 5, June 2009
|
|
|---|---|---|
| Article Number | 50005 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/86/50005 | |
| Published online | 24 June 2009 | |
Quantum amplitude amplification by phase noise
Institute of Laser Science, The University of Electro-Communication 1-5-1 Chofugaoka, Chofu, 182-8585, Japan
Corresponding author: mark@ils.uec.ac.jp
Received:
31
March
2009
Accepted:
15
May
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 
-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.
PACS: 03.67.Ac – Quantum algorithms, protocols, and simulations / 03.75.-b – Matter waves / 05.40.Ca – Noise
© EPLA, 2009
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