Optimal Pump Shaping for Entanglement Control in Any Countable Basis

[1]  Gene H. Golub,et al.  Numerical methods for solving linear least squares problems , 1965, Milestones in Matrix Computation.

[2]  C H Monken,et al.  Multimode Hong-Ou-mandel interference. , 2003, Physical review letters.

[3]  Adetunmise C. Dada,et al.  Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities , 2011, 1104.5087.

[4]  Christoph Simon,et al.  Three-photon energy–time entanglement , 2012, Nature Physics.

[5]  O. Benson,et al.  General and complete description of temporal photon correlations in cavity-enhanced spontaneous parametric down-conversion , 2020, 2007.11970.

[6]  Robert Fickler,et al.  Twisted photons: new quantum perspectives in high dimensions , 2017, Light: Science & Applications.

[7]  M. Horodecki,et al.  Mixed-State Entanglement and Quantum Communication , 2001, quant-ph/0109124.

[8]  David P. DiVincenzo,et al.  Quantum information and computation , 2000, Nature.

[9]  Lixiang Chen,et al.  Coherent Generation of the Complete High-Dimensional Bell Basis by Adaptive Pump Modulation , 2020, 2006.00445.

[10]  H. Weinfurter,et al.  Free-Space distribution of entanglement and single photons over 144 km , 2006, quant-ph/0607182.

[11]  A. Yao.  Angular momentum decomposition of entangled photons with an arbitrary pump , 2010, 1012.5021.

[12]  C. Monroe,et al.  Quantum information processing with atoms and photons , 2002, Nature.

[13]  J. C. A. Barata,et al.  The Moore–Penrose Pseudoinverse: A Tutorial Review of the Theory , 2011, 1110.6882.

[14]  Guang-Can Guo,et al.  Coherent manipulation of a three-dimensional maximally entangled state , 2018, Quantum Information and Measurement (QIM) V: Quantum Technologies.

[15]  C. Silberhorn,et al.  Distillation of Squeezing using a pulsed engineered PDC source , 2019 .

[16]  Weinfurter,et al.  Quantum cryptography with entangled photons , 1999, Physical review letters.

[17]  M. Chekhova,et al.  Microscale Generation of Entangled Photons without Momentum Conservation. , 2019, Physical review letters.

[18]  Ryan S. Bennink,et al.  Optimal collinear Gaussian beams for spontaneous parametric down-conversion , 2010, 1003.3810.

[19]  Harald Weinfurter,et al.  Cavity-enhanced generation of polarization-entangled photon pairs , 2000 .

[20]  S. Fritzsche,et al.  Enhanced entanglement from Ince-Gaussian pump beams in spontaneous parametric down-conversion , 2020 .

[21]  Andrew Forbes,et al.  Two-photon optics of Bessel-Gaussian modes , 2013, 1306.2767.

[22]  Stephen M. Barnett,et al.  Full characterization of the quantum spiral bandwidth of entangled biphotons , 2010, 1011.5970.

[23]  B. Zheng,et al.  Tensor inversion and its application to the tensor equations with Einstein product , 2018, Linear and Multilinear Algebra.

[24]  J. Spall.  Implementation of the simultaneous perturbation algorithm for stochastic optimization , 1998 .

[25]  Stanislav Straupe,et al.  Quantum state engineering with twisted photons via adaptive shaping of the pump beam , 2018, Physical Review A.

[26]  Wolfgang Hackbusch,et al.  Numerical tensor calculus* , 2014, Acta Numerica.

[27]  A. Vaziri,et al.  Entanglement of the orbital angular momentum states of photons , 2001, Nature.

[28]  M. V. van Exter,et al.  Measurement of the spiral spectrum of entangled two-photon states. , 2010, Physical review letters.

[29]  C. Silberhorn,et al.  Optimizing spontaneous parametric down-conversion sources for boson sampling , 2020, Physical Review A.

[30]  Na Li,et al.  Solving Multilinear Systems via Tensor Inversion , 2013, SIAM J. Matrix Anal. Appl..

[31]  Andrew Forbes,et al.  Engineering two-photon high-dimensional states through quantum interference , 2016, Science Advances.

[32]  H. Weinfurter,et al.  Entanglement-based quantum communication over 144km , 2007 .

[33]  Marius A Albota,et al.  Two-photon coincident-frequency entanglement via extended phase matching. , 2005, Physical review letters.

[34]  G. Brida,et al.  Experimental realization of sub-shot-noise quantum imaging , 2010 .

[36]  A. Forbes,et al.  Hong-Ou-Mandel interference of entangled Hermite-Gauss modes , 2016, 1605.07428.

[37]  L. Torner,et al.  The spatial shape of entangled photon states generated in non-collinear, walking parametric downconversion , 2005 .

[38]  Andrew Forbes,et al.  Ghost imaging with engineered quantum states by Hong–Ou–Mandel interference , 2019, New Journal of Physics.

[39]  C. Silberhorn,et al.  Distillation of squeezing using an engineered pulsed parametric down-conversion source. , 2019, Optics express.

[40]  M. Padgett,et al.  Orbital angular momentum correlations with a phase-flipped Gaussian mode pump beam , 2012 .

[41]  A. Khoury,et al.  Transfer of angular spectrum in parametric down-conversion with structured light , 2020 .

[42]  L. Roa,et al.  Entanglement concentration for non-maximally entangled states of qudits , 2009 .

[43]  Jeffrey H Shapiro,et al.  Spectral engineering by Gaussian phase-matching for quantum photonics. , 2013, Optics express.

[44]  Christophe Couteau,et al.  Spontaneous parametric down-conversion , 2018, Contemporary Physics.

[45]  Isaac Nape,et al.  Quantum mechanics with patterns of light: Progress in high dimensional and multidimensional entanglement with structured light , 2019 .

[46]  G. Guo,et al.  Increasing two-photon entangled dimensions by shaping input-beam profiles , 2020, 2001.04717.

[47]  Juan P. Torres,et al.  Preparation of engineered two-photon entangled states for multidimensional quantum information , 2003 .

[48]  J. P. Torres,et al.  Quantum spiral bandwidth of entangled two-photon states , 2003 .

[49]  Sergei P. Kulik,et al.  Experimental entanglement concentration and universal Bell-state synthesizer , 2003 .

[50]  Andrew Forbes,et al.  Ghost imaging using entanglement-swapped photons , 2019, npj Quantum Information.

[51]  H. Cruz-Ramírez,et al.  Double transverse wave-vector correlations in photon pairs generated by spontaneous parametric down-conversion pumped by Bessel-Gauss beams , 2016 .

[52]  J. Latorre,et al.  Quantum nonlocality in two three-level systems , 2001, quant-ph/0111143.