Journal
PHYSICAL REVIEW A
Volume 79, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.042307
Keywords
Bell theorem; nonlinear media; nonlinear optical susceptibility; optical materials; optical parametric amplifiers; quantum entanglement; quantum gates; quantum optics; series (mathematics)
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Funding
- Australian Research Council
- IARPA-funded (U.S.) Army Research Office [W911NF-05-0397]
- EU
- Ministry of Education, Culture, Sports, Science, and Technology (MEXT) of Japan
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Optical chi((2)) nonlinearity can be used for parametric amplification and producing down-converted entangled photon pairs that have broad applications. It is known that weak nonlinear media exhibit dispersion and produce a frequency response. It is therefore of interest to know how spectral effects of a strong chi((2)) crystal affect the performance. Here we model the spectral effects of the dispersion of a strong chi((2)) crystal and illustrate how this affects its ability to perform Bell measurements and influence the performance of a quantum gates that employ such a Bell measurement. We show that a Dyson series expansion of the unitary operator is necessary in general, leading to unwanted spectral entanglement. We identify a limiting situation employing periodic poling, in which a Taylor series expansion is a good approximation and this entanglement can be removed.
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