Frequency up-conversion of quantum images.

We develop the theory of frequency up-conversion of an arbitrary spatially-broadband quantum state (quantum image), deriving the analytical solutions for the cases of plane-wave pump and short crystal with arbitrary pump. By using an example of the quantum image imposed by the orbital angular momentum of the pump beam in spontaneous parametric down-conversion, we show that 99%-fidelity up-conversion of quantum images from an infrared wavelength to the visible wavelength can be obtained in periodically-poled lithium-niobate crystals at reasonable pump intensities well below the crystal damage threshold.

[1]  R. Pooser,et al.  Entangled Images from Four-Wave Mixing , 2008, Science.

[2]  Quantum teleportation of optical images with frequency conversion , 2006, quant-ph/0602200.

[3]  David J. Richardson,et al.  All-optical phase and amplitude regenerator for next-generation telecommunications systems , 2010 .

[4]  Michael Vasilyev,et al.  Near-noiseless amplification of light by a phase-sensitive fibre amplifier , 2001 .

[5]  M. Kolobov.  The spatial behavior of nonclassical light , 1999 .

[6]  E. Lantz,et al.  Parametric Amplification of Images: From Time Gating to Noiseless Amplification , 2008, IEEE Journal of Selected Topics in Quantum Electronics.

[7]  Premjeet Kumar,et al.  Noise-Free Amplification : Towards Quantum Laser Radar , 2007 .

[8]  Geraldo A. Barbosa,et al.  Twin photons with angular-momentum entanglement: Phase matching , 2002 .

[9]  C. Caves.  Quantum limits on noise in linear amplifiers , 1982 .

[10]  P Di Trapani,et al.  Detection of sub-shot-noise spatial correlation in high-gain parametric down conversion. , 2004, Physical review letters.

[11]  Y. O. Dudin,et al.  A quantum memory with telecom-wavelength conversion , 2010 .

[12]  Chonghoon Kim,et al.  Traveling-wave optical parametric amplifier: investigation of its phase-sensitive and phase-insensitive gain response , 1997 .

[13]  P. Kumar,et al.  Measurement of quantum-noise correlations in parametric image amplification. , 1998, Optics express.

[14]  Premjeet Kumar,et al.  Estimation of the spatial bandwidth of an optical parametric amplifier with plane-wave pump , 2009 .

[15]  Premjeet Kumar,et al.  Lossless single-photon shaping via heralding. , 2011, Optics letters.

[16]  Premjeet Kumar,et al.  Investigation of phase-sensitive image amplification with elliptical Gaussian pump , 2009, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[17]  Eric Lantz,et al.  Measurement of sub-shot-noise correlations of spatial fluctuations in the photon-counting regime. , 2008, Physical review letters.

[18]  Orhan Aytür,et al.  Analysis of the generation of amplitude-squeezed light with Gaussian-beam degenerate optical parametric amplifiers , 2001 .

[19]  A. Gatti,et al.  Controlling the signal-to-noise ratio in optical parametric image amplification , 2003 .

[20]  J. E. Midwinter,et al.  IMAGE CONVERSION FROM 1.6 μ TO THE VISIBLE IN LITHIUM NIOBATE , 1968 .

[21]  M Vasilyev,et al.  Amplitude squeezing of light by means of a phase-sensitive fiber parametric amplifier. , 1999, Optics letters.

[22]  C. Fabre,et al.  Transverse effects and mode couplings in OPOS , 1998 .

[23]  Michael Vasilyev,et al.  Compact representation of spatial modes of phase-sensitive image amplifier , 2011, CLEO 2011.

[24]  Michael Vasilyev,et al.  Quantum properties of a spatially-broadband traveling-wave phase-sensitive optical parametric amplifier , 2010 .

[25]  Kumar,et al.  Observation of quantum frequency conversion. , 1992, Physical review letters.

[26]  A. Gavrielides,et al.  Diffractive imaging in three‐wave interactions , 1987 .

[27]  O. Aytür,et al.  Analysis of Gaussian-beam degenerate optical parametric amplifiers for the generation of quadrature-squeezed states , 1999 .

[28]  P. Andrekson,et al.  Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers , 2011 .

[29]  Eric Corndorf,et al.  Quantum imaging of nonlocal spatial correlations induced by orbital angular momentum. , 2005, Physical review letters.

[30]  Lijun Ma,et al.  Quantum Transduction of Telecommunications-band Single Photons from a Quantum Dot by Frequency Upconversion , 2010, 1004.2686.

[31]  C J McKinstrie,et al.  Quantum frequency translation of single-photon states in a photonic crystal fiber. , 2010, Physical review letters.

[32]  Premjeet Kumar,et al.  NOISELESS OPTICAL AMPLIFICATION OF IMAGES , 1999 .

[33]  Atsushi Takada,et al.  Low-noise amplification under the 3 dB noise figure in high-gain phase-sensitive fibre amplifier , 1999 .

[34]  Eric Lantz,et al.  Spatially noiseless optical amplification of images. , 2005, Physical review letters.