DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Characterizing photon number statistics using conjugate optical homodyne detection

Journal Article · · Optics Express
DOI: https://doi.org/10.1364/OE.383358 · OSTI ID:1591960

We study the problem of determining the photon number statistics of an unknown quantum state using conjugate optical homodyne detection. We quantify the information gain in a single-shot measurement and show that the photon number statistics can be recovered in repeated measurements on an ensemble of identical input states without scanning the phase of the input state or randomizing the phase of the local oscillator used in homodyne detection. We demonstrate how the expectation maximization algorithm and Bayesian inference can be utilized to facilitate the reconstruction and illustrate our approach by conducting experiments to study the photon number distributions of a weak coherent state and a thermal state source.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Electricity (OE)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1591960
Alternate ID(s):
OSTI ID: 1607321
Journal Information:
Optics Express, Vol. 28, Issue 2; ISSN 1094-4087
Publisher:
Optical Society of America (OSA)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

References (68)

Homodyne-detector-blinding attack in continuous-variable quantum key distribution journal July 2018
Sampling of photon statistics and density matrix using homodyne detection journal June 1996
Quantum Statistics of the Squeezed Vacuum by Measurement of the Density Matrix in the Number State Representation journal September 1996
Continuous variable quantum cryptography journal December 1999
Photon counting with a loop detector journal January 2003
Gaussian quantum information journal May 2012
Reconstruction of photon number conditioned states using phase randomized homodyne measurements journal May 2013
Maximum-likelihood estimation of photon-number distribution from homodyne statistics journal June 1998
Quantum Computation over Continuous Variables journal February 1999
Homodyne detection in a photon counting application journal April 1996
Experimental Reconstruction of Photon Statistics without Photon Counting journal August 2005
Single-photon detectors for optical quantum information applications journal December 2009
A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers journal February 2018
Real time g (2) monitoring with 100 kHz sampling rate journal January 2018
High-efficiency photon-number detection for quantum information processing journal November 2003
Continuous-variable optical quantum-state tomography journal March 2009
Measurement of the quantum phase by photon counting journal September 1991
Multiport homodyne detection near the quantum noise limit journal September 1986
Feasibility of quantum key distribution through a dense wavelength division multiplexing network journal October 2010
Invited Review Article: Single-photon sources and detectors journal July 2011
Distilling Gaussian States with Gaussian Operations is Impossible journal September 2002
Gaussian Transformations and Distillation of Entangled Gaussian States journal September 2002
Quantum-mechanical lossless beam splitter: SU(2) symmetry and photon statistics journal August 1989
Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum journal March 1993
Photon-number statistics from the phase-averaged quadrature-field distribution: Theory and ultrafast measurement journal August 1995
Realistic optical homodyne measurements and quasiprobability distributions journal December 1993
Wavelength division multiplexing of continuous variable quantum key distribution and 18.3 Tbit/s data channels journal January 2019
Quantum key distribution using gaussian-modulated coherent states journal January 2003
Photon-number resolution using time-multiplexed single-photon detectors journal October 2003
Practical challenges in quantum key distribution journal November 2016
Quantum cryptography with squeezed states journal January 2000
Multi-photon detection using a conventional superconducting nanowire single-photon detector journal January 2017
Photon number distributions from a diode laser journal January 2013
Gaussian-only regenerative stations cannot act as quantum repeaters journal December 2014
Local-oscillator excess-noise suppression for homodyne and heterodyne detection journal January 1983
Atmospheric continuous-variable quantum communication journal November 2014
Characterization of Gaussian operations and distillation of Gaussian states journal September 2002
Coexistence of continuous variable QKD with intense DWDM classical channels journal April 2015
Efficient Classical Simulation of Continuous Variable Quantum Information Processes journal February 2002
Quantum cryptography journal March 2002
Secure quantum key distribution journal July 2014
Quantum Cryptography Without Switching journal October 2004
Quantum hacking: Saturation attack on practical continuous-variable quantum key distribution journal July 2016
Noise in homodyne and heterodyne detection journal January 1983
Noise-free high-efficiency photon-number-resolving detectors journal June 2005
The security of practical quantum key distribution journal September 2009
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase journal September 1989
The Quantum Theory of Optical Coherence journal June 1963
Experimental quantum key distribution with active phase randomization journal January 2007
Determination of photon statistics and density matrix from double homodyne detection measurements journal August 1998
Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox journal April 2021
Quantum cryptography conference January 1999
Realistic optical homodyne measurements and quasiprobability distributions conference January 1994
Quantum cryptography journal December 1998
Noise in homodyne and heterodyne detection conference January 1983
The Security of Practical Quantum Key Distribution text January 2008
Coexistence of continuous variable QKD with intense DWDM classical channels text January 2014
Secure Quantum Key Distribution text January 2015
Quantum hacking: saturation attack on practical continuous-variable quantum key distribution text January 2015
Homodyne-detector-blinding attack in continuous-variable quantum key distribution text January 2018
Gaussian transformations and distillation of entangled Gaussian states text January 2002
Photon number resolution using a time-multiplexed single-photon detector text January 2003
Quantum key distribution using gaussian-modulated coherent states text January 2003
Quantum Cryptography without Switching text January 2004
Noise-free high-efficiency photon-number-resolving detectors text January 2005
Continuous-variable optical quantum state tomography text January 2005
Quantum computation over continuous variables text January 1998
Quantum cryptography with squeezed states text January 1999

Similar Records

Related Subjects