Abstract
We suggest and investigate a scheme for non-deterministic noiseless linear amplification of coherent states using successive photon addition, (â<sup>†</sup>)<sup>2</sup>, where â<sup>†</sup> is the photon creation operator. We compare it with a previous proposal using the photon addition-then-subtraction, ââ<sup>†</sup>, where â is the photon annihilation operator, that works as an appropriate amplifier only for weak light fields. We show that when the amplitude of a coherent state is |α| ≳ 0.91, the (â<sup>†</sup>)<sup>2</sup> operation serves as a more efficient amplifier compared to the ââ<sup>†</sup> operation in terms of equivalent input noise. Using ââ<sup>†</sup> and (â<sup>†</sup>)<sup>2</sup> as basic building blocks, we compare combinatorial amplifications of coherent states using (ââ<sup>†</sup>)<sup>2</sup>, â<sup>†4</sup>, ââ<sup>†</sup>â<sup>†2</sup>, and â<sup>†2</sup>ââ<sup>†</sup>, and show that (ââ<sup>†</sup>)<sup>2</sup>, â<sup>†2</sup>ââ<sup>†</sup>, and â<sup>†4</sup> exhibit strongest noiseless properties for |α| ≲ 0.51, 0.51 ≲ |α| ≲ 1.05, and |α| ≳ 1.05, respectively. We further show that the (â<sup>†</sup>)<sup>2</sup> operation can be useful for amplifying superpositions of the coherent states. In cont...Continue Reading
References
Feb 1, 1995·Physical Review. a·A MannW J Munro
Jun 13, 1988·Physical Review Letters·E Arthurs, M S Goodman
May 30, 1994·Physical Review Letters·S L Braunstein, C M Caves
Jun 27, 1994·Physical Review Letters·U Leonhardt, H Paul
Nov 24, 2001·Nature·L M DuanP Zoller
Jun 1, 2004·Physical Review Letters·Jérôme WengerPhilippe Grangier
Oct 23, 2004·Science·Alessandro ZavattaMarco Bellini
Mar 11, 2006·Science·Alexei OurjoumtsevPhilippe Grangier
Sep 29, 2007·Science·Valentina ParigiMarco Bellini
Feb 1, 2008·Physical Review Letters·A P LundH L Haselgrove
Mar 5, 2009·Physical Review Letters·Hyunseok JeongTimothy C Ralph
Sep 17, 2009·Optics Letters·S R HuismanA I Lvovsky
Apr 7, 2010·Physical Review Letters·Franck FerreyrolPhilippe Grangier
Sep 21, 2011·Physical Review Letters·Jaewoo JooTimothy P Spiller
Dec 12, 2012·Physical Review Letters·M MičudaM Ježek
Mar 14, 2013·Optics Express·Merlin CooperBrian J Smith