Continuous-variable optical quantum-state tomography

@article{Lvovsky2009ContinuousvariableOQ,
  title={Continuous-variable optical quantum-state tomography},
  author={A. I. Lvovsky and Michael G. Raymer},
  journal={Reviews of Modern Physics},
  year={2009},
  volume={81},
  pages={299-332}
}
This review covers the latest developments in continuous-variable quantum-state tomography of optical fields and photons, placing a special emphasis on its practical aspects and applications in quantum-information technology. Optical homodyne tomography is reviewed as a method of reconstructing the state of light in a given optical mode. A range of relevant practical topics is discussed, such as state-reconstruction algorithms (with emphasis on the maximum-likelihood technique), the technology… 
Conditional spectroscopy via nonstationary optical homodyne quantum state tomography
Continuous variable quantum state tomography is one of the most powerful techniques to study the properties of light fields in quantum optics. However, the need for a fixed phase reference has so far
Probing single-photon state tomography using phase-randomized coherent states
Quantum processes involving single-photon states are of broad interest, in particular, for quantum communications. Extending to continuous values a recent proposal by Yuan et al. [Phys. Rev. A94,
Quantum tomography of light states by photon-number-resolving detectors
Weaddress state reconstruction by photon-number-resolving detectors, and demonstrate that they may be effectively exploited to performquantum tomography of states of light. In particular, wefind that
Quantum Process Tomography of an Optically-Controlled Kerr Non-linearity
TLDR
This paper presents the complete experimental characterization of a system designed for optically controlled phase shifts acting on single-photon level probe coherent states, and provides the precise knowledge of how their optical phase shift will modify any arbitrary input quantum state engineered in the mode of the reconstruction.
Quantum state engineering of light with continuous-wave optical parametric oscillators.
TLDR
This generation protocol is detailed for two non-Gaussian states, the single-photon state and a superposition of coherent states, using two differently phase-matched parametric oscillators as primary resources, enabling achievement of a high fidelity with the targeted state and generation of the state in a well-controlled spatiotemporal mode.
Pulsed homodyne Gaussian quantum tomography with low detection efficiency
Pulsed homodyne quantum tomography usually requires a high detection efficiency, limiting its applicability in quantum optics. Here, it is shown that the presence of low detection efficiency () does
State-independent quantum state tomography by photon-number-resolving measurements
Complete and accurate quantum state characterization is a key requirement of quantum information science and technology. The Wigner quasi-probability distribution function provides such a
Metrology of single-photon sources and detectors: a review
Abstract. The generation, measurement, and manipulation of light at the single- and few-photon levels underpin a rapidly expanding range of applications. These range from applications moving into the
Quantum tomography enhanced through parametric amplification
Quantum tomography is the standard method of reconstructing the Wigner function of quantum states of light by means of balanced homodyne detection. The reconstruction quality strongly depends on the
Ultimate precision of direct tomography of wave functions
TLDR
It turns out that the reformulation can help to find the optimal measurements for efficient estimation in the direct tomography of the wave function and two different measurement schemes are proposed that eventually approach the Heisenberg limit.
...
...

References

SHOWING 1-10 OF 483 REFERENCES
Quantum state reconstruction of the single-photon Fock state.
TLDR
The quantum state of optical pulses containing single photons is reconstructed using the method of phase-randomized pulsed optical homodyne tomography and shows a strong dip reaching classically impossible negative values around the origin of the phase space.
Non-classical field characterization by high-frequency, time-domain quantum homodyne tomography
We report about the realization and the applications of an efficient pulsed optical homodyne apparatus operating in the time domain at the high repetition rates characteristic of commonly used
Time-domain analysis of quantum states of light: noise characterization and homodyne tomography
We measured the time-domain quantum statistics of a pulsed, high-repetition-rate optical field by balanced homodyne detection. The measuring apparatus discriminates the time scales on which intrinsic
Quantum-state tomography of two-mode light using generalized rotations in phase space
We introduce a method for quantum-state tomography for a pair of optical modes, which we call generalized rotations in phase space. Rather than using a dual-mode local oscillator field for
Optical mode characterization of single photons prepared by means of conditional measurements on a biphoton state
Abstract:A detailed theoretical analysis of the spatiotemporal mode of a single photon prepared via conditional measurements on a photon pair generated in the process of parametric down-conversion is
Complete Characterization of Quantum-Optical Processes
TLDR
This work presents a method for characterizing, with arbitrarily high accuracy, any quantum optical process by studying, via homodyne tomography, its effect on a set of coherent states, that is, classical fields produced by common laser sources.
Experimental determination of quantum-phase distributions using optical homodyne tomography.
  • Beck, Smithey, Raymer
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1993
TLDR
From the experimental measurement of probability distributions of quadrature-field amplitudes, followed by numerical inversion (optical homodyne tomography), it is found that each definition of phase yields different distributions and/or moments for the experimental data.
Pulse-mode quantum projection synthesis: Effects of mode mismatch on optical state truncation and preparation
Quantum projection synthesis can be used for phase-probability-distribution measurement and optical-state truncation and preparation. The method relies on interfering optical light beams, which is a
Quantum-state engineering with continuous-variable postselection
We present a scheme to conditionally engineer an optical quantum system via continuous-variable measurements. This scheme yields high-fidelity squeezed single photons and a superposition of coherent
Two-mode quantum-optical state measurement: Sampling the joint density matrix.
TLDR
This work presents a generalization of the direct sampling method of state reconstruction and points out that its advantages over inverse Radon methods are even greater here than in the single-mode case.
...
...