Preparation and characterization of arbitrary states of four-dimensional qudits based on biphotons

We report an experiment on preparation and characterization of general four-dimensional quantum states using ultrafast-pumped frequency-nondegenerate spontaneous parametric down-conversion. We also discuss two additional experimental schemeswhich offermore complete control of the state purity and entropy.

[1]  W. Wootters,et al.  Entanglement of a Pair of Quantum Bits , 1997, quant-ph/9703041.

[2]  Sergei P. Kulik,et al.  Polarization state of a biphoton: Quantum ternary logic , 1999 .

[3]  H Bechmann-Pasquinucci,et al.  Quantum cryptography with 3-state systems. , 2000, Physical review letters.

[4]  G. Milburn,et al.  Qudit Entanglement , 2000, quant-ph/0001075.

[5]  Zeilinger,et al.  Violations of local realism by two entangled N-dimensional systems are stronger than for two qubits , 2000, Physical review letters.

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

[7]  Sergei P. Kulik,et al.  Bell-state preparation using pulsed nondegenerate two-photon entanglement , 2001 .

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

[9]  Jan Bouda,et al.  Entanglement swapping between multi-qudit systems , 2001 .

[10]  Andrew G. White,et al.  Measurement of qubits , 2001, quant-ph/0103121.

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

[12]  S. Massar,et al.  Bell inequalities for arbitrarily high-dimensional systems. , 2001, Physical review letters.

[13]  W. Munro,et al.  Qudit quantum-state tomography , 2002 .

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

[15]  S P Kulik,et al.  Qutrit state engineering with biphotons. , 2004, Physical review letters.

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

[17]  A Gilchrist,et al.  Measuring entangled qutrits and their use for quantum bit commitment. , 2004, Physical review letters.

[18]  Maximal violation of Clauser-Horne-Shimony-Holt inequality for four-level systems , 2003, quant-ph/0307011.

[19]  Nicolas Gisin,et al.  Bell-Type Test of Energy-Time Entangled Qutrits , 2004 .

[20]  Meng Khoon Tey,et al.  Statistical reconstruction of qutrits , 2004 .

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

[22]  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.

[23]  Yoon-Ho Kim,et al.  Generating entangled states of two ququarts using linear optical elements , 2006, SPIE Optics + Photonics.

[24]  Gleb Maslennikov,et al.  Polarization states of four-dimensional systems based on biphotons , 2006 .

[25]  S S Straupe,et al.  Realization of four-level qudits using biphotons. , 2006, Physical review letters.

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

[27]  V. P. Karassiov,et al.  Polarization transformations of multimode light fields , 2007 .

[28]  Generating entangled states of two ququarts using linear optical elements , 2007 .

[29]  Yoon-Ho Kim,et al.  Scalable scheme for entangling multiple ququarts using linear optical elements , 2007, 0708.0447.