Characterizing Photonic Spatial States

1. CharacterizingPhotonicSpatial States Sebastião Pádua PhysicsDepartment- Federal Universityof Minas Gerais – Belo Horizonte - Brazil Paraty 2009, September 08 2009 Enlightand Quantum OpticsLaboratory Informação Quântica

2. Outline • Transferofinformationfromthepumpbeam • Generationandpropagationofqudits • Quantum Tomographyofqubitswith SLM • Progress in four photonsproduction

3. TwophotonstateAngular SpectrumTransference ks = ki = kp/2 ms = mi = 1/2 R = (rs+ri)/2

4. D. Prichard, et. al, Phys. Rev. Lett. (1995)‏

5. Lithography Double-slit – proofofprinciple M. D’Angelo, M. V. Chekhova and Y. Shih, Phy. Rev. Lett. 87 013692 (2001).

6. Laser, = 826 nm Twin Photons = 826 nm Laser, = 413 nm OBJECT: DOUBLE SLIT EXPERIMENTAL RESULTS EXPERIMENTAL RESULTS Simple slit Double slit Simple slit Double slit Simple slit Double slit Simple slit Double slit FIG. 4. Light intensity (a), (c) and coincidence rate (b) measured at the image plane of slits illuminated by a classical infrared light source (826 nm) in (a); by the idler beam (826 nm) in (b), with idler and signal being detected in coincidence at the image plane; and by a classical light source in the violet (413 nm) in (c). For these measurement, z´´= 9cm, z´ = 47.5 cm, the slits width are equal 89 m, the dark part of double slit measure 76 m, the lenses width are equal 0.7 mm (in the measurement of simple slit) and 0.65mm (in the measurement of double slite). FIG. 4. Light intensity (a), (c) and coincidence rate (b) measured at the image plane of slits illuminated by a classical infrared light source (826 nm) in (a); by the idler beam (826 nm) in (b), with idler and signal being detected in coincidence at the image plane; and by a classical light source in the violet (413 nm) in (c). For these measurement, z´´= 9cm, z´ = 47.5 cm, the slits width are equal 89 m, the dark part of double slit measure 76 m, the lenses width are equal 0.7 mm (in the measurement of simple slit) and 0.65mm (in the measurement of double slite). FIG. 4. Light intensity (a), (c) and coincidence rate (b) measured at the image plane of slits illuminated by a classical infrared light source (826 nm) in (a); by the idler beam (826 nm) in (b), with idler and signal being detected in coincidence at the image plane; and by a classical light source in the violet (413 nm) in (c). For these measurement, z´´= 9cm, z´ = 47.5 cm, the slits width are equal 89 m, the dark part of double slit measure 76 m, the lenses width are equal 0.7 mm (in the measurement of simple slit) and 0.65mm (in the measurement of double slite). FIG. 4. Light intensity (a), (c) and coincidence rate (b) measured at the image plane of slits illuminated by a classical infrared light source (826 nm) in (a); by the idler beam (826 nm) in (b), with idler and signal being detected in coincidence at the image plane; and by a classical light source in the violet (413 nm) in (c). For these measurement, z´´= 9cm, z´ = 47.5 cm, the slits width are equal 89 m, the dark part of double slit measure 76 m, the lenses width are equal 0.7 mm (in the measurement of simple slit) and 0.65mm (in the measurement of double slite).

10. Optics Communications

15. Quantum Tomographywith a Spatial Light Modulator

17. Phases: 0, 0 , -60.7 , 80,6

20. = Thevaluesofpi are obtainedfrommeasurements.

22. = Slits are partiallyblockedandphases are changedbythe SLM

23. LiIO3

25. M1 L2 f Laser He-Cd SLM C f LiIO3 M2 Double Slit L1

26. Goal: 2 qubitsand 2 qutrits.

27. Students: Juliana Gontijo, Wanderson Pimenta, Mariana Barros, Marco Aurélio Carvalho, Breno Teixeira – Physics Department - UFMG • Pos-doc : Dr. José Ferraz • Prof. Marcelo Terra Cunha – Mathematics Department – UFMG • Univ. De Concepción - Chile: Profs. Leonardo Neves, G. Lima, A. Delgado, and Carlos Saavedra

28. PPKTP – SPDC – Type IIAngular SpectrumTransference Controllingthetransversecorrelation in QPM parametricdown-conversion, O. Cosme, A. Delgado, G. Lima, C. H. Monkenand S. Pádua – arXiv: 0906.473v1(2009)[quant-ph].

29. PPKTPQuantum imageformation Imageof a double-slitplaced in thepumpbeam path anddetectedattheimage plane bycoincidence

30. SPDC statewith four photons- PPKTPTransferofthepump angular spectrum to the four photon SPDC quantum state Profileofthe laser beamand 4-photoncoincidencecount in the vertical direction Profileofthe laser beamand 4-photoncoincidencecount in the horizontal direction

31. SPDC statewith four photons- PPKTPTransferofthepump angular spectrum to the four photon SPDC quantum state Imageof a displacedwire in thepumpbeam path and 4-photoncounts