Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum

Smithey, D. T., Beck, M., Raymer, M. G., Faridani, A.·1993·Physical Review Letters
DOI 10.1103/physrevlett.70.1244

Cited by (1,001)

Items 101–200 of 1,001

  1. I: Quantum Interference, Superposition States of Light, and Nonclassical Effects
    Vladimír Bužek, P. L. Knight · 1995 · Progress in optics
  2. Quantum inference of states and processes
    Miroslav Ježek, Jaromı́r Fiurášek, Z. Hradil · 2003 · Physical Review A
  3. Two-Qubit State Tomography Using a Joint Dispersive Readout
    Stefan Filipp, Patrick Maurer, Peter Leek, Matthias Baur, R. Bianchetti, J. M. Fink, M. Göppl, L. Steffen, Jay Gambetta, Alexandre Blais et al. · 2009 · Physical Review Letters
  4. Wigner functions in optics: describing beams as ray bundles and pulses as particle ensembles
    Miguel Angel Alonso · 2011 · Advances in Optics and Photonics
  5. Phase encoding schemes for measurement-device-independent quantum key distribution with basis-dependent flaw
    Kiyoshi Tamaki, Hoi‐Kwong Lo, Chi‐Hang Fred Fung, Bing Qi · 2012 · Physical Review A
  6. Photon Chopping: New Way to Measure the Quantum State of Light
    Henryk Paul, Päivi Törmä, T. Kiss, Igor Jex · 1996 · Physical Review Letters
  7. Sampling of photon statistics and density matrix using homodyne detection
    Ulf Leonhardt, M. Munroe, T. Kiss, Th. Richter, Michael G. Raymer · 1996 · Optics Communications
  8. introduction to the fractional fourier transform and its applications
    Ozaktas, Haldun M., Kutay, M. Alper, Mendlovic, David · 1999 · Advances in Imaging and Electron Physics
  9. GENERALIZED PARTON DISTRIBUTIONS
    Xiangdong Ji · 2004 · Annual Review of Nuclear and Particle Science
  10. Generating superposition of up-to three photons for continuous variable quantum information processing
    Mitsuyoshi Yukawa, Kazunori Miyata, Takahiro Mizuta, Hidehiro Yonezawa, Petr Marek, Radim Filip, Akira Furusawa · 2013 · Optics Express
  11. Cooling-by-measurement and mechanical state tomography via pulsed optomechanics
    Michael Ross Vanner, J. Hofer, Garrett D. Cole, Markus Aspelmeyer · 2013 · Nature Communications
  12. Deterministic quantum teleportation through fiber channels
    Meiru Huo, Jiliang Qin, Jialin Cheng, Zhihui Yan, Zhongzhong Qin, Xiaolong Su, Xiaojun Jia, Changde Xie, Kunchi Peng · 2018 · Science Advances
  13. Do We Really Understand Quantum Mechanics?
    Franck Laloë · 2012 · Cambridge University Press eBooks
  14. Complete experimental characterization of the quantum state of a light mode via the Wigner function and the density matrix: application to quantum phase distributions of vacuum and squeezed-vacuum states
    D. T. Smithey, M. Beck, J. Cooper, Michael G. Raymer, Adel Faridani · 1993 · Physica Scripta
  15. Nonclassical moments and their measurement
    Evgeny V Shchukin, W. Vogel · 2005 · Physical Review A
  16. Physics-informed dynamic mode decomposition
    Peter Jonathan Baddoo, Benjamín Herrmann, Beverley McKeon, J. Nathan Kutz, Steven L. Brunton · 2023 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  17. Quantum Bayes rule
    Rüdiger Schack, Todd A. Brun, Carlton M. Caves · 2001 · Physical Review A
  18. Linear optical sampling
    Christophe Dorrer, Daniel C. Kilper, H.R. Stuart, G. Raybon, Michael G. Raymer · 2003 · IEEE Photonics Technology Letters
  19. Inseparability inequalities for higher order moments for bipartite systems
    G. S. Agarwal, Asoka Biswas · 2005 · New Journal of Physics
  20. Ultrasensitive pulsed, balanced homodyne detector: application to time-domain quantum measurements
    Hauke Hansen, Thomas Aichele, Christian Hettich, Peter Lodahl, Alexander I. Lvovsky, J. Mlynek, Stephan Schiller · 2001 · Optics Letters
  21. Fractional Fourier domains
    Ozaktas, Haldun M., Aytür, Orhan · 1995 · Signal Processing
  22. Quantum cryptography using pulsed homodyne detection
    Takuya Hirano, Hitoshi Yamanaka, M. Ashikaga, T. Konishi, Ryo Namiki · 2003 · Physical Review A
  23. Quantum physics of simple optical instruments
    Ulf Leonhardt · 2003 · Reports on Progress in Physics
  24. Nonclassical States: An Observable Criterion
    W. Vogel · 2000 · Physical Review Letters
  25. Sampling entropies and operational phase-space measurement. I. General formalism
    Vladimír Bužek, Christoph H. Keitel, P. L. Knight · 1995 · Physical Review A
  26. A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers
    Raffaelli, Francesco, Ferranti, Giacomo, Mahler, Dylan H, Sibson, Philip, Kennard, Jake E, Santamato, Alberto, Sinclair, Gary, Bonneau, Damien, Thompson, Mark G, Matthews, Jonathan C F · 2018 · Quantum Science and Technology
  27. Tomographic reconstruction of the single-photon Fock state by high-frequency homodyne detection
    Alessandro Zavatta, Silvia Viciani, Marco Bellini · 2004 · Physical Review A
  28. Analytic representations in quantum mechanics
    Apostol Vourdas · 2006 · Journal of Physics A Mathematical and General
  29. I: The Wigner Distribution Function in Optics and Optoelectronics
    Daniela Dragoman · 1997 · Progress in optics
  30. Synthesis and tomographic characterization of the displaced Fock state of light
    Alexander I. Lvovsky, С. А. Бабичев · 2002 · Physical Review A
  31. Subcycle quantum electrodynamics
    Claudius Riek, Philipp Sulzer, M. Seeger, A. S. Moskalenko, Guido Burkard, Denis V. Seletskiy, Alfred Leitenstorfer · 2017 · Nature
  32. A balanced homodyne detector for high-rate Gaussian-modulated coherent-state quantum key distribution
    Chi, Yue-Meng, Qi, Bing, Zhu, Wen, Qian, Li, Lo, Hoi-Kwong, Youn, Sun-Hyun, Lvovsky, A I, Tian, Liang · 2011 · New Journal of Physics
  33. Tomographic reconstruction of the density matrix via pattern functions
    Ulf Leonhardt, Henryk Paul, Giacomo Mauro D’Ariano · 1995 · Physical Review A
  34. Squeezed vacuum from a monolithic optical parametric oscillator
    Gerd Breitenbach, T. Müller, Silvania F. Pereira, J.-Ph. Poizat, Stephan Schiller, J. Mlynek · 1995 · Journal of the Optical Society of America B
  35. Single-electron quantum tomography in quantum Hall edge channels
    Charles Grenier, RÉMY HERVÉ, Erwann Bocquillon, François D. Parmentier, Bernard Plaçais, Jean‐Marc Berroir, Gwendal Fève, Pascal Degiovanni · 2011 · New Journal of Physics
  36. Full Characterization of a Three-Photon Greenberger-Horne-Zeilinger State Using Quantum State Tomography
    Kevin J. Resch, Philip John Walther, Anton Zeilinger · 2005 · Physical Review Letters
  37. Squeezed Light
    Alexander I. Lvovsky · 2015 · Photonics
  38. Lifting the bandwidth limit of optical homodyne measurement with broadband parametric amplification
    Yaakov Shaked, Yoad Michael, Rafi Z. Vered, Leon Bello, M. Rosenbluh, Avi Pe’er · 2018 · Nature Communications
  39. Degree of polarization in quantum optics
    Alfredo Luis · 2002 · Physical Review A
  40. Complete Characterization of Arbitrary Quantum Measurement Processes
    Alfredo Luis, Luis Lorenzo Sánchez-Soto · 1999 · Physical Review Letters
  41. Quantum state endoscopy: Measurement of the quantum state in a cavity
    P. J. Bardroff, E. Mayr, W. P. Schleich · 1995 · Physical Review A
  42. Generation and Direct Detection of Broadband Mesoscopic Polarization-Squeezed Vacuum
    T. Sh. Iskhakov, Maria V. Chekhova, Gerd Leuchs · 2009 · Physical Review Letters
  43. Homodyne Tomography Characterization and Nonlocality of a Dual-Mode Optical Qubit
    С. А. Бабичев, J. Appel, Alexander I. Lvovsky · 2004 · Physical Review Letters
  44. Motion tomography of a single trapped ion
    J. F. Poyatos, R. Walser, J. I. Cirac, P. Zoller, R. Blatt · 1996 · Physical Review A
  45. Measurement of a negative value for the Wigner function of radiation
    Gilles Nogues, Arno Rauschenbeutel, S. Osnaghi, Patrice Bertet, M. Brune, J. M. Raimond, S. Haroche, L. G. Lutterbach, L. Davidovich · 2000 · Physical Review A
  46. Demonstration of coherent time-frequency Schmidt mode selection using dispersion-engineered frequency conversion
    Benjamin Brecht, A. Eckstein, Raimund Ricken, Viktor Quiring, H. Suche, Linda Sansoni, Christine Silberhorn · 2014 · Physical Review A
  47. Systematic Errors in Current Quantum State Tomography Tools
    Christian Schwemmer, Lukas Knips, Daniel Richart, Harald Weinfurter, Tobias Moroder, Matthias Kleinmann, Otfried Gühne · 2015 · Physical Review Letters
  48. Phase Measurement by Projection Synthesis
    Stephen Mark Barnett, David Thomas Pegg · 1996 · Physical Review Letters
  49. Spectral structure and decompositions of optical states, and their applications
    Rohde, Peter P, Mauerer, Wolfgang, Silberhorn, Christine · 2007 · New Journal of Physics
  50. Interpretation of tomography and spectroscopy as dual forms of quantum computation
    Miquel, César, Paz, Juan Pablo, Saraceno, Marcos, Knill, Emanuel, Laflamme, Raymond, Negrevergne, Camille · 2002 · Nature
  51. II Homodyne Detection and Quantum-State Reconstruction
    Dirk‐Gunnar Welsch, W. Vogel, Tomáš Opatrný · 1999 · Progress in optics
  52. Electronic noise in optical homodyne tomography
    J. Appel, Dallas Hoffman, Eden V. Figueroa, Alexander I. Lvovsky · 2007 · Physical Review A
  53. Quadrature-Squeezed Light Detection Using a Self-Generated Matched Local Oscillator
    Chonghoon Kim, Prem Kumar · 1994 · Physical Review Letters
  54. Quantum-State Reconstruction by Maximizing Likelihood and Entropy
    Yong Siah Teo, Huangjun Zhu, Berthold‐Georg Englert, Jaroslav Řeháček, Z. Hradil · 2011 · Physical Review Letters
  55. Wave packet interferometry and quantum state reconstruction by acousto-optic phase modulation
    Patrick F. Tekavec, Thomas R. Dyke, Andrew H. Marcus · 2006 · The Journal of Chemical Physics
  56. Chronocyclic tomography for measuring the amplitude and phase structure of optical pulses
    M. Beck, Ian A. Walmsley, V. Wong, M. G. Raymer · 1993 · Optics Letters
  57. ELECTRON QUANTUM OPTICS IN QUANTUM HALL EDGE CHANNELS
    Charles Grenier, RÉMY HERVÉ, Gwendal Fève, Pascal Degiovanni · 2011 · Modern Physics Letters B
  58. Compressive Direct Measurement of the Quantum Wave Function
    Mohammad Mirhosseini, Omar S. Magaña‐Loaiza, Seyed Mohammad Hashemi Rafsanjani, Robert W. Boyd · 2014 · Physical Review Letters
  59. Measuring measurement: theory and practice
    Alejandro Feito, Jeff S. Lundeen, Hendrik B. Coldenstrodt-Ronge, Jens Eisert, Martin Bodo Plenio, Ian A. Walmsley · 2009 · New Journal of Physics
  60. Reconstructing the density operator by using generalized field quadratures
    G M D'Ariano, S Mancini, V I Man'ko, P Tombesi · 1996 · Quantum and Semiclassical Optics Journal of the European Optical Society Part B
  61. Focus on quantum tomography
    Banaszek, K, Cramer, M, Gross, D · 2013 · New Journal of Physics
  62. An Invitation to Quantum Tomography
    L.M. Artiles, Richard David Gill, M. I. Gut ̧ă · 2004 · Journal of the Royal Statistical Society Series B (Statistical Methodology)
  63. Characterization of the electric field of ultrashort optical pulses
    Ian A. Walmsley, Victor Wong · 1996 · Journal of the Optical Society of America B
  64. Compensation of losses in photodetection and in quantum-state measurements
    T. Kiss, Ulrike Herzog, Ulf Leonhardt · 1995 · Physical Review A
  65. Directly Estimating Nonclassicality
    Andrea Mari, Konrad Kieling, B. Melholt Nielsen, Eugene Simon Polzik, Jens Eisert · 2011 · Physical Review Letters
  66. Maximum-likelihood estimation of quantum processes
    Jaromı́r Fiurášek, Z. Hradil · 2001 · Physical Review A
  67. Quantum Physics of Simple Optical Instruments
    Ulf Leonhardt · 2003
  68. Quantum-scissors device for optical state truncation: A proposal for practical realization
    Şahin Kaya Özdemir, Adam Miranowicz, Masato Koashi, Nobuyuki Imoto · 2001 · Physical Review A
  69. 3 Maximum-Likelihood Methodsin Quantum Mechanics
    Z. Hradil, Jaroslav Řeháček, Jaromı́r Fiurášek, Miroslav Ježek · 2004 · Lecture notes in physics
  70. Quantum State Holography
    C. Leichtle, Wolfgang P. Schleich, Ilya Sh. Averbukh, M. Shapiro · 1998 · Physical Review Letters
  71. Tomographic Measurement of Joint Photon Statistics of the Twin-Beam Quantum State
    Michael Vasilyev, Sang-Kyung Choi, Prem Kumar, Giacomo Mauro D’Ariano · 2000 · Physical Review Letters
  72. Temporal modes in quantum optics: then and now
    Michael G. Raymer, Ian A. Walmsley · 2019 · Physica Scripta
  73. Nonclassicality Criteria from Phase-Space Representations and Information-Theoretical Constraints Are Maximally Inequivalent
    Alessandro Ferraro, Matteo G. A. Paris · 2012 · Physical Review Letters
  74. Quantum imaging and information
    Omar S. Magaña‐Loaiza, Robert W. Boyd · 2019 · Reports on Progress in Physics
  75. Efficient Quantum-State Estimation by Continuous Weak Measurement and Dynamical Control
    Greg Smith, Andrew Silberfarb, Ivan Deutsch, Poul Jessen · 2006 · Physical Review Letters
  76. Reconstructing the density operator by using generalized field quadratures
    Giacomo Mauro D’Ariano, Stefano Mancini, Paolo Tombesi · 1996 · CERN Document Server (European Organization for Nuclear Research)
  77. Shadows and Mirrors: Reconstructing Quantum States of Atom Motion
    Dietrich G. Leibfried, Tilman Pfau, Christopher R. Monroe · 1998 · Physics Today
  78. Probing a Quantum State via Atomic Deflection
    Matthias Freyberger, A. M. Herkommer · 1994 · Physical Review Letters
  79. Newton–Leibniz integration for ket–bra operators in quantum mechanics (IV)—Integrations within Weyl ordered product of operators and their applications
    Hong-Yi Fan · 2007 · Annals of Physics
  80. Observation of Moving Wave Packets Reveals Their Quantum State
    Ulf Leonhardt, Michael G. Raymer · 1996 · Physical Review Letters
  81. Spin tomography
    Giacomo Mauro D’Ariano, Lorenzo Maccone, Marco Paini · 2003 · Journal of Optics B Quantum and Semiclassical Optics
  82. Hamiltonian Tomography in an Access-Limited Setting without State Initialization
    Carlo D. Franco, Mauro Paternostro, M. S. Kim · 2009 · Physical Review Letters
  83. The nonclassical light
    Давид Николаевич Клышко · 1996 · Physics-Uspekhi
  84. Observation of Multimode Quantum Correlations in Fiber Optical Solitons
    S. Spälter, Natalia Korolkova, Friedrich König, Andreas Sizmann, Gerd Leuchs · 1998 · Physical Review Letters
  85. Evolution of quantum superpositions in open environments: Quantum trajectories, jumps, and localization in phase space
    B. M. Garraway, P. L. Knight · 1994 · Physical Review A
  86. Local asymptotic normality for qubit states
    Mădălin Guţǎ, Jonas Kahn · 2006 · Physical Review A
  87. Statistical properties of photon-subtracted squeezed vacuum in thermal environment
    Liyun Hu, Hong-Yi Fan · 2008 · Journal of the Optical Society of America B
  88. Experimental determination of quantum-phase distributions using optical homodyne tomography
    M. Beck, D. T. Smithey, Michael G. Raymer · 1993 · Physical Review A
  89. Interferometric phase detection at x-ray energies via Fano resonance control
    Kilian P. Heeg, Christian Ott, D. Schumacher, Hans‐Christian Wille, Ralf Röhlsberger, Thomas Pfeifer, Jörg Evers · 2015 · Physical Review Letters
  90. Inseparability inequalities for higher-order moments for bipartite systems
    G. S. Agarwal, Biswas, A · 2005 · CERN Document Server (European Organization for Nuclear Research)
  91. Direct, Loss-Tolerant Characterization of Nonclassical Photon Statistics
    Daryl Achilles, Christine Silberhorn, Ian A. Walmsley · 2006 · Physical Review Letters
  92. Wigner function approach to single electron coherence in quantum Hall edge channels
    Dario Ferraro, Alexandre Feller, A. Ghibaudo, É. Thibierge, Erwann Bocquillon, Gwendal Fève, Charles Grenier, Pascal Degiovanni · 2013 · Physical Review B
  93. Density matrix from photon number tomography
    Stefano Mancini, Paolo Tombesi, Vladimir I. Man’ko · 1997 · Europhysics Letters (EPL)
  94. Cluster-expansion representation in quantum optics
    M. Kira, S. W. Koch · 2008 · Physical Review A
  95. Quantum State Reconstruction via Continuous Measurement
    Andrew Silberfarb, Poul Jessen, Ivan Deutsch · 2005 · Physical Review Letters
  96. Canonical and measured phase distributions
    Ulf Leonhardt, Joan A. Vaccaro, B. Böhmer, Henryk Paul · 1995 · Physical Review A
  97. Measuring Entanglement in Condensed Matter Systems
    M. Cramer, Martin Bodo Plenio, Harald Wunderlich · 2011 · Physical Review Letters
  98. Least-squares inversion for density-matrix reconstruction
    Tomáš Opatrný, D.‐G. Welsch, W. Vogel · 1997 · Physical Review A
  99. Quantum interference in three-photon down-conversion
    Konrad Banaszek, P. L. Knight · 1997 · Physical Review A
  100. Parity detection in quantum optical metrology without number-resolving detectors
    William N Plick, Petr M. Anisimov, Jonathan P Dowling, Hwang Lee, G. S. Agarwal · 2010 · New Journal of Physics