Niu, Murphy Yuezhen and Sanders, Barry C. and Wong, Franco N. C. and Shapiro, Jeffrey H. (2017) Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification. Physical Review Letters, 118 (12). Art. No. 123601. ISSN 0031-9007. doi:10.1103/PhysRevLett.118.123601. https://resolver.caltech.edu/CaltechAUTHORS:20170323-135327144
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Abstract
We propose an optical scheme, employing optical parametric down-converters interlaced with nonlinear sign gates (NSGs), that completely converts an n-photon Fock-state pump to n signal-idler photon pairs when the down-converters’ crystal lengths are chosen appropriately. The proof of this assertion relies on amplitude amplification, analogous to that employed in Grover search, applied to the full quantum dynamics of single-mode parametric down-conversion. When we require that all Grover iterations use the same crystal, and account for potential experimental limitations on crystal-length precision, our optimized conversion efficiencies reach unity for 1 ≤ n ≤ 5, after which they decrease monotonically for n values up to 50, which is the upper limit of our numerical dynamics evaluations. Nevertheless, our conversion efficiencies remain higher than those for a conventional (no NSGs) down-converter.
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Additional Information: | © 2017 American Physical Society. (Received 29 December 2016; published 23 March 2017) M. Y. N., F. N. C. W., and J. H. S. acknowledge support from Office of Naval Research Grant No. N00014-13-1-0774 and Air Force Office of Scientific Research Grant No. FA9550-14-1-0052. B. C. S. acknowledges funding provided by Natural Sciences and Engineering Research Council of Canada, Alberta Innovations, and by the Institute for Quantum Information and Matter, a National Science Foundation (NSF) Physics Frontiers Center (NSF Grant No. PHY-1125565) with support of the Gordon and Betty Moore Foundation (Grant No. GBMF-2644). M. Y. N. and B. C. S. also thank the Aspen Center for Physics for hosting the Quantum Algorithm Winter School. | ||||||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||||||
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Issue or Number: | 12 | ||||||||||||||||
DOI: | 10.1103/PhysRevLett.118.123601 | ||||||||||||||||
Record Number: | CaltechAUTHORS:20170323-135327144 | ||||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170323-135327144 | ||||||||||||||||
Official Citation: | Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification Murphy Yuezhen Niu, Barry C. Sanders, Franco N. C. Wong, and Jeffrey H. Shapiro Phys. Rev. Lett. 118, 123601 | ||||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||
ID Code: | 75363 | ||||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||||
Deposited By: | George Porter | ||||||||||||||||
Deposited On: | 23 Mar 2017 21:26 | ||||||||||||||||
Last Modified: | 15 Nov 2021 16:33 |
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