Unity-Efficiency Parametric Down-Conversion via Amplitude Amplification
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.
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.Attached Files
Published - PhysRevLett.118.123601.pdf
Submitted - 1603.06857.pdf
Supplemental Material - UPDC_SupplementalMaterial_revised.pdf
Files
Additional details
- Eprint ID
- 75363
- Resolver ID
- CaltechAUTHORS:20170323-135327144
- N00014-13-1-0774
- Office of Naval Research (ONR)
- FA9550-14-1-0052
- Air Force Office of Scientific Research (AFOSR)
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Alberta Innovations
- Institute for Quantum Information and Matter (IQIM)
- PHY-1125565
- NSF
- GBMF-2644
- Gordon and Betty Moore Foundation
- Created
-
2017-03-23Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter