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Jonathan P. Dowling

Quantum Optical Metrology, Imaging, and Computing. 建道灵. “Spiritual Alliance”. Jian Dow-Ling . Jonathan P. Dowling. Hearne Institute for Theoretical Physics Quantum Science and Technologies Group Louisiana State University Baton Rouge, Louisiana USA. quantum.phys.lsu.edu.

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Jonathan P. Dowling

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  1. Quantum Optical Metrology, Imaging, and Computing 建道灵 “Spiritual Alliance” Jian Dow-Ling Jonathan P. Dowling Hearne Institute for Theoretical Physics Quantum Science and Technologies Group Louisiana State University Baton Rouge, Louisiana USA quantum.phys.lsu.edu QONMIV, 26 JAN 2011, CSRC, Beijing Dowling JP, “Quantum Optical Metrology — The Lowdown On High-N00N States,” Contemporary Physics 49 (2): 125-143 (2008).

  2. Hearne Institute for Theoretical Physics QuantumScience & Technologies Group Photo: H.Cable,C.Wildfeuer,H.Lee, S.D.Huver, W.N.Plick, G.Deng, R.Glasser, S.Vinjanampathy, K.Jacobs,D.Uskov,J.P.Dowling,P.Lougovski,N.M.VanMeter, M.Wilde, G.Selvaraj, A.DaSilva Top Inset: P.M.Anisimov,B.R.Bardhan,A.Chiruvelli,L.Florescu, M.Florescu, Y.Gao, K.Jiang,K.T.Kapale,T.W.Lee,S.B.McCracken, C.J.Min, S.J.Olsen, R.Singh,K.P.Seshadreesan,S.Thanvanthri, G.Veronis. Bottom InsetC. Brignac,R.Cross,B.Gard,D.J.Lum, Keith Motes, G.M.Raterman,C.Sabottke,

  3. Outline Nonlinear Optics vs. Projective Measurements Quantum Imaging vs. Precision Measurements Showdown at High N00N! 6. Super Resolution with Classical Light 7. Super-Duper Sensitivity Beats Heisenberg! 8. A Parody on Parity

  4. (3) PBS Rpol z Unfortunately, the interaction (3)is extremely weak*: 10-22 at the single photon level —This is not practical! *R.W. Boyd, J. Mod. Opt.46, 367 (1999). Optical Quantum Computing: Two-Photon CNOT with Kerr Nonlinearity The Controlled-NOT can be implemented using a Kerr medium: |0= |H Polarization |1= |V Qubits R is a/2 polarization rotation, followed by a polarization dependent phase shift.

  5. Cavity QED Two Roads to Optical Quantum Computing I. Enhance Nonlinear Interaction with a Cavity or EIT — Kimble, Walther, Lukin, et al. II. Exploit Nonlinearity of Measurement — Knill, LaFlamme, Milburn, Nemoto, et al.

  6. WHY IS A KERR NONLINEARITY LIKE A PROJECTIVE MEASUREMENT? Photon-Photon XOR Gate   LOQC   KLM Cavity QED EIT Photon-Photon Nonlinearity ??? Kerr Material Projective Measurement

  7. G. G. Lapaire, P. Kok, JPD, J. E. Sipe, PRA 68 (2003) 042314 Projective Measurement Yields Effective Nonlinearity! A Revolution in Nonlinear Optics at the Few Photon Level: No Longer Limited by the Nonlinearities We Find in Nature!  NON-Unitary Gates  Effective Nonlinear Gates Franson CNOT: Cross Kerr KLM CSIGN: Self Kerr

  8. independent trials/shot-noise limit Phase Estimation Theorem: Quantum Cramer-Rao bound optimal POVM, optimal statistical estimator Strategies to improve sensitivity: 1. Increase — sequential (multi-round) protocol. 2. Probes in entangled N-party state and one trial To make as large as possible —> N00N! S. L. Braunstein, C. M. Caves, and G. J. Milburn, Annals of Physics 247, page 135 (1996) V. Giovannetti, S. Lloyd, and L. Maccone, PRL 96 010401 (2006)

  9. H.Lee, P.Kok, JPD, J Mod Opt 49, (2002) 2325 Quantum Metrology Shot noise Heisenberg

  10. Sub-Shot-Noise Interferometric Measurements With Two-Photon N00N States A Kuzmich and L Mandel; Quantum Semiclass. Opt. 10 (1998) 493–500. SNL HL

  11. AN Boto, DS Abrams, CP Williams, JPD, PRL 85 (2000) 2733 a† N a N Super-Resolution Sub-Rayleigh

  12. Quantum Lithography Experiment |20>+|02> |10>+|01>

  13. Showdown at High-N00N! How do we make High-N00N!? |N,0 + |0,N With a large cross-Kerr nonlinearity!*H =  a†a b†b |1 |0 |N |N,0 + |0,N |0 This is not practical! — need = p but  = 10–22 ! *C Gerry, and RA Campos, Phys. Rev. A64, 063814 (2001).

  14. FIRST LINEAR-OPTICS BASED HIGH-N00N GENERATOR Success probability approximately 5% for 4-photon output. Scheme conditions on the detection of one photon at each detector mode a e.g. component of light from an optical parametric oscillator mode b H. Lee, P. Kok, N. J. Cerf and J. P. Dowling, PRA 65, 030101 (2002). J.C.F.Matthews, A.Politi, Damien Bonneau, J.L.O'Brien, arXiv:1005.5119

  15. Towards A Realistic Quantum Sensor S. Huver, C. F. Wildfeuer, J.P. Dowling, Phys. Rev. A 78 # 063828 DEC 2008 恶魔 Lost photons Try other detection scheme and states! La Detector M&M Generator Lb Lost photons M&M state: N00N Visibility M&M Visibility M&M’ Adds Decoy Photons M&M: V=0.3 N00N: V=0.05

  16. MZI with Coherent Light There’s N00N in Them There Hills — Partner! ? How can we make coherent state interferometry super-resolving? – Gao, Anisimov, …, Dowling, JOSA B 27, A170 (2010) I. Coherent state input II. Beam splitter is adjusted to balance any possible loss

  17. Quantum Inspired Detection: 0NN0-N00N! Visibility is Very, Very Low! K.J. Resch, …, A.G. White, Physical Review Letters 98, 223601 (2007)

  18. Quantum Inspired Detection: 0NN0-N00N! 5 Sensitivity is Much Worse Than Shot Noise! 4 3 2 1 2 0 1 3 4 5 6

  19. Quantum Inspired Detection: Sum O’ NooNs! Visibility is Very Low!

  20. Quantum Inspired Detection: Sum O’ M&Ms! Every Photon is Precious! Signal: Sensitivity: SNL We Hit Shot-Noise Limit! Sub-Rayleigh & Visibility is One!

  21. Recall single mode phase measurement by projection synthesis discussed in – Barnett&Pegg, PRL 76, 4148 (1996). We Have Re-Invented the Barnett & Pegg Phase Operator!

  22. B&P Op Parity Op The Barnett & Pegg Phase Operator Transforms into the Parity Operator!

  23. Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit PRL 104, 103602 (2010) PM Anisimov, GM Raterman, A Chiruvelli, WN Plick, SD Huver, H Lee, JP Dowling We show that super-resolution and sub-Heisenberg sensitivity is obtained with parity detection. In particular, in our setup, dependence of the signal on the phase evolves <n> times faster than in traditional schemes, and uncertainty in the phase estimation is better than 1/<n>. SNL HL TMSV & QCRB HofL |TMSV>

  24. New Journal of Physics 12 (2010) 113025, 1367-2630/10/113025+12$30.00 Parity detection in quantum optical metrology without number-resolving detectors William N Plick, Petr M Anisimov, JPD, Hwang Lee, and Girish S Agarwal Abstract. We present a method for directly obtaining the parity of a Gaussian state of light without recourse to photon-number counting. The scheme uses only a simple balanced homodyne technique and intensity correlation. Thus interferometric schemes utilizing coherent or squeezed light and parity detection may be practically implemented for an arbitrary photon flux.

  25. Outline Nonlinear Optics vs. Projective Measurements Quantum Imaging vs. Precision Measurements Showdown at High N00N! 6. Super Resolution with Classical Light 7. Super-Duper Sensitivity Beats Heisenberg! 8. A Parody on Parity 非常感谢你！

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