Separated Schmidt modes in the angular spectrum of biphotons

We prepared qudits based on angular multimode biphoton states by modulating the pump angular spectrum. The modes were prepared in the Schmidt basis and their intensity distributions did not overlap in space. This allows one to get rid of filtering losses while addressing single modes and to realize a single-shot qudit readout.

[1]  A. Willner,et al.  Using all transverse degrees of freedom in quantum communications based on a generic mode sorter. , 2018, Optics express.

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

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

[4]  Andrew Forbes,et al.  A compact diffractive sorter for high-resolution demultiplexing of orbital angular momentum beams , 2018, Scientific Reports.

[5]  M. Fedorov.  High resource of azimuthal entanglement in terms of Cartesian variables of noncollinear biphotons , 2018 .

[6]  Robert W Boyd,et al.  Sorting Photons by Radial Quantum Number. , 2017, Physical review letters.

[7]  T. Jennewein,et al.  Spatially correlated photonic qutrit pairs using pump beam modulation technique , 2017, OSA Continuum.

[8]  S. Kulik,et al.  Spatial Bell-State Generation without Transverse Mode Subspace Postselection. , 2017, Physical review letters.

[9]  M. Zhan,et al.  Generation of high spectral purity photon-pairs with MgO-doped periodically poled lithium niobate , 2015 .

[10]  Gregory R. Steinbrecher,et al.  Quantum transport simulations in a programmable nanophotonic processor , 2015, Nature Photonics.

[11]  M. Fedorov.  Schmidt decomposition for non-collinear biphoton angular wave functions , 2014, 1411.2144.

[12]  M. Chekhova,et al.  Separable Schmidt modes of a nonseparable state , 2013, 1312.1092.

[13]  Ebrahim Karimi,et al.  Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram. , 2013, Optics letters.

[14]  Jonathan Leach,et al.  Direct measurement of a 27-dimensional orbital-angular-momentum state vector , 2013, Nature Communications.

[15]  Qi Guo,et al.  Quantum superdense coding based on hyperentanglement , 2012 .

[16]  S. Kulik,et al.  Angular Schmidt modes in spontaneous parametric down-conversion , 2011 .

[17]  S.P.Kulik,et al.  Angular Schmidt Modes in Spontaneous Parametric Down-Conversion , 2011, 1103.4077.

[18]  Yu. M. Mikhailova,et al.  Gaussian modelling and Schmidt modes of SPDC biphoton states , 2009, 0906.3273.

[19]  Giuseppe Vallone,et al.  Multipath entanglement of two photons. , 2008, Physical review letters.

[20]  M. Efremov,et al.  Spontaneous parametric down-conversion: Anisotropical and anomalously strong narrowing of biphoton momentum correlation distributions , 2008 .

[21]  M. Dušek,et al.  Optical implementation of the encoding of two qubits to a single qutrit , 2006, quant-ph/0603174.

[22]  A. Vaziri,et al.  Experimental quantum cryptography with qutrits , 2005, quant-ph/0511163.

[23]  M. P. Almeida,et al.  Quantum key distribution with higher-order alphabets using spatially encoded qudits. , 2005, Physical review letters.

[24]  Robert W. Boyd,et al.  Pixel entanglement: experimental realization of optically entangled d=3 and d=6 qudits. , 2005 .

[25]  R. Boyd,et al.  Pixel entanglement: experimental realization of optically entangled d=3 and d=6 qudits , 2005, 2005 Quantum Electronics and Laser Science Conference.

[26]  Fuguo Deng,et al.  Quantum secure direct communication with high-dimension quantum superdense coding , 2005 .

[27]  N. Gisin,et al.  A Fabry–Perot-like two-photon interferometer for high-dimensional time-bin entanglement , 2005, quant-ph/0502169.

[28]  Leonardo Neves,et al.  Generation of entangled states of qudits using twin photons. , 2004, Physical review letters.

[29]  R.T.Thew,et al.  A Bell-type test of energy-time entangled qutrits , 2004, quant-ph/0402048.

[30]  C. K. Law,et al.  Packet narrowing and quantum entanglement in photoionization and photodissociation , 2003, quant-ph/0312119.

[31]  C. K. Law,et al.  Analysis and interpretation of high transverse entanglement in optical parametric down conversion. , 2003, Physical review letters.

[32]  Wolfgang Tittel,et al.  Tailoring photonic entanglement in high-dimensional Hilbert spaces , 2003, quant-ph/0309058.

[33]  Nicolas Gisin,et al.  Experimental realization of entangled qutrits for quantum communication , 2003, Quantum Inf. Comput..

[34]  I. Walmsley,et al.  Photon engineering for quantum information processing , 2003, Quantum Inf. Comput..

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

[36]  A. Vaziri,et al.  Experimental two-photon, three-dimensional entanglement for quantum communication. , 2002, Physical review letters.

[37]  D. Bruß,et al.  Optimal eavesdropping in cryptography with three-dimensional quantum states. , 2001, Physical review letters.

[38]  M. Bourennane,et al.  QUANTUM KEY DISTRIBUTION USING MULTILEVEL ENCODING , 2001 .

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

[40]  H. Bechmann-Pasquinucci,et al.  Quantum cryptography , 2001, quant-ph/0101098.

[41]  H. Bechmann-Pasquinucci,et al.  Quantum Cryptography using larger alphabets , 1999, quant-ph/9910095.

[42]  S. Stenholm,et al.  Teleportation of N-dimensional states , 1998 .

[43]  Carlos H. Monken,et al.  Transfer of angular spectrum and image formation in spontaneous parametric down-conversion , 1998 .

[44]  Franson,et al.  Bell inequality for position and time. , 1989, Physical review letters.

[45]  H. Wang 王,et al.  Quantum superdense coding based on hyperentanglement , 2012 .

[46]  Gilles Brassard,et al.  Quantum Cryptography , 2005, Encyclopedia of Cryptography and Security.