Deterministic reshaping of single-photon spectra using cross-phase modulation

With an ultrafast refractive index change in an optical fiber, frequency entanglement of twin photons is modulated on the fly. The frequency conversion of light has proved to be a crucial technology for communication, spectroscopy, imaging, and signal processing. In the quantum regime, it also offers great potential for realizing quantum networks incorporating disparate physical systems and quantum-enhanced information processing over a large computational space. The frequency conversion of quantum light, such as single photons, has been extensively investigated for the last two decades using all-optical frequency mixing, with the ultimate goal of realizing lossless and noiseless conversion. I demonstrate another route to this target using frequency conversion induced by cross-phase modulation in a dispersion-managed photonic crystal fiber. Owing to the deterministic and all-optical nature of the process, the lossless and low-noise spectral reshaping of a single-photon wave packet in the telecommunication band has been readily achieved with a modulation bandwidth as large as 0.4 THz. I further demonstrate that the scheme is applicable to manipulations of a nonclassical frequency correlation, wave packet interference, and entanglement between two photons. This approach presents a new coherent frequency interface for photons for quantum information processing.

[1]  C. Fabre,et al.  Wavelength-multiplexed quantum networks with ultrafast frequency combs , 2013, Nature Photonics.

[2]  Angelo Gulinatti,et al.  Two-photon interference using background-free quantum frequency conversion of single photons emitted by an InAs quantum dot. , 2012, Physical review letters.

[3]  C R Phillips,et al.  Long-wavelength-pumped upconversion single-photon detector at 1550 nm: performance and noise analysis. , 2011, Optics express.

[4]  Marius A Albota,et al.  Efficient single-photon counting at 1.55 microm by means of frequency upconversion. , 2004, Optics letters.

[5]  H. Yamada,et al.  Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light. , 1990, Optics letters.

[6]  Brian J. Smith,et al.  Quantum State Manipulation of Single-Photon Wave Packets , 2014 .

[7]  Logan G. Wright,et al.  Spectral compression of single photons , 2013, Nature Photonics.

[8]  Philippe Emplit,et al.  Frequency Bin Entangled Photons , 2009, 0910.1325.

[9]  Andrew M. Weiner,et al.  Femtosecond optical pulse shaping and processing , 1995 .

[10]  Law,et al.  Continuous frequency entanglement: effective finite hilbert space and entropy control , 2000, Physical review letters.

[11]  Kevin J. Resch,et al.  Theory of high-efficiency sum-frequency generation for single-photon waveform conversion , 2014, 1412.5516.

[12]  Giuseppe Vallone,et al.  Polarization entangled state measurement on a chip , 2010, CLEO: 2011 - Laser Science to Photonic Applications.

[13]  Ady Arie,et al.  Tunable midinfrared source by difference frequency generation in bulk periodically poled KTiOPO4 , 1999 .

[14]  Philippe Grangier,et al.  Quantum non-demolition measurements in optics , 1998, Nature.

[15]  P. Petropoulos,et al.  Pulse retiming based on XPM using parabolic pulses formed in a fiber Bragg grating , 2006, IEEE Photonics Technology Letters.

[16]  Giuseppe Vallone,et al.  Polarization entangled states measurement on a chip , 2011, Optics + Optoelectronics.

[17]  U. Leonhardt,et al.  Fiber-Optical Analog of the Event Horizon , 2007, Science.

[18]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[19]  P. Petropoulos,et al.  Compensation of Linear Distortions by Using XPM With Parabolic Pulses as a Time Lens , 2008, IEEE Photonics Technology Letters.

[20]  Todd A. Brun,et al.  Quantum Computing , 2011, Computer Science, The Hardware, Software and Heart of It.

[21]  Ryosuke Shimizu,et al.  Observation of optical-fibre Kerr nonlinearity at the single-photon level , 2009 .

[22]  A. M. Weinera.  Femtosecond pulse shaping using spatial light modulators , 2000 .

[23]  P. Petropoulos,et al.  Efficient All-Optical Wavelength-Conversion Scheme Based on a Saw-Tooth Pulse Shaper , 2009, IEEE Photonics Technology Letters.

[24]  Peter C Humphreys,et al.  Continuous-variable quantum computing in optical time-frequency modes using quantum memories. , 2014, Physical review letters.

[25]  A C Peacock,et al.  Ultrafast wavelength conversion via cross-phase modulation in hydrogenated amorphous silicon optical fibers. , 2012, Optics express.

[26]  G. Rempe,et al.  Phase shaping of single-photon wave packets , 2009 .

[27]  Ian A. Walmsley,et al.  Eliminating frequency and space-time correlations in multiphoton states , 2001 .

[28]  Pedram Khalili Amiri,et al.  Quantum computers , 2003 .

[29]  Hiroki Takesue,et al.  Erasing distinguishability using quantum frequency up-conversion. , 2008, Physical review letters.

[30]  A. Zeilinger,et al.  Discrete, tunable color-entanglement , 2009, CLEO/Europe - EQEC 2009 - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference.

[31]  Andreas Christ,et al.  Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering , 2014, 1403.2886.

[32]  Thomas Feurer,et al.  Shaping frequency entangled qudits , 2013, 1303.6202.

[33]  Hood,et al.  Measurement of conditional phase shifts for quantum logic. , 1995, Physical review letters.

[34]  R. Buczyński.  Photonic Crystal Fibers , 2004 .

[35]  Benjamin J Eggleton,et al.  High-efficiency frequency conversion in the single-photon regime. , 2013, Optics letters.

[36]  A. Zeilinger,et al.  Anti-symmetrization reveals hidden entanglement , 2008, 0807.4437.

[37]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[38]  Michael G. Raymer,et al.  Manipulating the color and shape of single photons , 2012 .

[39]  M. Fischer,et al.  Cross-phase modulation imaging. , 2012, Optics letters.

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

[41]  H. J. Kimble,et al.  The quantum internet , 2008, Nature.

[42]  H M Wiseman,et al.  Quantum optical waveform conversion. , 2010, Physical review letters.

[43]  Jeffrey H. Shapiro,et al.  High-flux source of polarization-entangled photons from a periodically poled KTiOPO 4 parametric down-converter , 2003, quant-ph/0305092.

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

[45]  Archil Avaliani,et al.  Quantum Computers , 2004, ArXiv.

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

[47]  Christine Silberhorn,et al.  Heralded generation of ultrafast single photons in pure quantum States. , 2007, Physical review letters.

[48]  Nicolas Gisin,et al.  Quantum communication , 2017, 2017 Optical Fiber Communications Conference and Exhibition (OFC).

[49]  Matthew E. Grein,et al.  Heralding efficiency and correlated-mode coupling of near-IR fiber-coupled photon pairs , 2014, 1407.8487.

[50]  S. Coen,et al.  Supercontinuum generation and nonlinear pulse propagation in photonic crystal fiber: influence of the frequency-dependent effective mode area , 2005, CLEO/Europe. 2005 Conference on Lasers and Electro-Optics Europe, 2005..

[51]  Christine Silberhorn,et al.  Demonstration of coherent time-frequency Schmidt mode selection using dispersion-engineered frequency conversion , 2014 .

[52]  Marc Savanier,et al.  Controlling the spectrum of photons generated on a silicon nanophotonic chip , 2014, Nature communications.

[53]  Sae Woo Nam,et al.  Spectral correlation measurements at the Hong-Ou-Mandel interference dip , 2015 .

[54]  Masato Koashi,et al.  Wide-band quantum interface for visible-to-telecommunication wavelength conversion. , 2011, Nature communications.

[55]  C. McKinstrie,et al.  Theory of quantum frequency translation of light in optical fiber: application to interference of two photons of different color. , 2011, Optics express.

[56]  S. Radic,et al.  Overcoming Kerr-induced capacity limit in optical fiber transmission , 2015, Science.

[57]  Franco N. C. Wong,et al.  Extended phase matching of second-harmonic generation in periodically poled KTiOPO4 with zero group-velocity mismatch , 2004 .

[58]  Ady Arie,et al.  Temperature-dependent dispersion equations for KTiOPO4 and KTiOAsO4. , 2003, Applied optics.

[59]  Hong,et al.  Measurement of subpicosecond time intervals between two photons by interference. , 1987, Physical review letters.