Continuous-variable optical quantum state tomography

Abstract

This review covers latest developments in continuous-variable quantum-state tomography of optical fields and photons, placing a special accent 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 are discussed, such as state-reconstruction algorithms (with emphasis on the maximum-likelihood technique), the technology of time-domain homodyne detection, mode matching issues, and engineering of complex quantum states of light. The paper also surveys quantum-state tomography for the transverse spatial state (spatial mode) of the field in the special case of fields containing precisely one photon.

Finally, a revision! Comments to lvov(at)ucalgary.ca and raymer(at)uoregon.edu are welcome

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• Optimal sensing of photon addition and subtraction on nonclassical light
• Temporal evolution of a driven optomechanical system in the strong coupling regime
• Universal Transformation of Displacement Operators and its Application to Homodyne Tomography In Differing Relativistic Reference Frames
• Weak measurement-based state estimation of Gaussian states of one-variable quantum systems
• The Wigner function negative value domains and energy function poles of the polynomial oscillator
• Efficient Quantum Tomography of Two-Mode Wigner Functions
• Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz
• Quaternion representation and symplectic spin tomography
• Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements
• Quantum interferences reconstruction with low homodyne detection efficiency
• Kenfack Zyczkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit
• Complete identification of nonclassicality of Gaussian states via intensity moments
• Holographic quantum imaging: reconstructing spatial properties via two-particle interference
• Entangled Probability Distributions for Center-of-Mass Tomography
• Pulsed characteristic-function measurement of a thermalizing harmonic oscillator
• Detecting Nonclassicality and quantum non-Gaussianity of photon subtracted displaced Fock state
• Tomographic entanglement indicators in frequency combs and Talbot carpets
• Optically-Sampled Superconducting-Nanostrip Photon-Number Resolving Detector for Non-Classical Quantum State Generation
• Ultrafast pump-probe phase-randomized tomography
• Direct detection of quantum non-Gaussian light from a dispersively coupled single atom
• Confidence polytopes for quantum process tomography
• Recovery of Quantum Correlations using Machine Learning
• Self-referenced hologram of a single photon beam
• Optical homodyne detection in view of joint probability distribution
• Homodyne nonclassical area as a nonclassicality indicator
• On the application of a Silicon photomultiplier-based receiver for binary phase-shift-keying protocols
• Spectral and temporal metrology with bandlimited functions and finite-time measurements
• CHSH Bell Tests For Optical Hybrid Entanglement
• A tomographic approach to the sum uncertainty relation and quantum entanglement in continuous variable systems
• Dichotomic probability representation of quantum states
• Qumode transfer between continuous and discrete variable devices
• Robustness of entanglement in Hawking radiation for optical systems immersed in thermal baths
• Direct Measurement Methods of Density Matrix of an Entangled Quantum State
• Single Plane Spatial Mode Sorter
• Optomechanical state reconstruction and nonclassicality verification beyond the resolved-sideband regime
• Measurement schemes for the spin quadratures on an ensemble of atoms
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• The optimal reordering of measurements for photonic quantum tomography
• Reconstruction of electromagnetic field states by a probe qubit
• Retrieving the Covariance Matrix of an Unknown Two-Mode Gaussian State by Means of a Reference Twin Beam
• QuGrav: Bringing gravitational waves to light with Qumodes
• Quantumness and its hierarchies in PT-symmetric down-conversion models
• Tomography of an optomechanical oscillator via parametrically amplified position measurement
• Flux Qubit Readout in the Persistent Current Basis at arbitrary Bias Points
• Quantum state tomography with disentanglement algorithm
• Imprinting the quantum statistics of photons on free electrons
• When quantum state tomography benefits from willful ignorance
• A Novel Modulation Scheme for Homodyne Detection Control
• Geometric phase through spatial potential engineering
• Synthesis of the Einstein-Podolsky-Rosen entanglement in a sequence of two single-mode squeezers
• Phase Retrieval from 4N-4 Measurements
• Star product and ordered moments of photon creation and annihilation operators
• Shaping Quantum Photonic States Using Free Electrons
• Optical Phase-Space-Time-Frequency Tomography
• Quadrature Squeezing And Temperature Estimation From The Fock Distribution
• Nondiffracting beams for vortex tomography
• Stable Recovery of Weighted Sparse Signals from Phaseless Measurements via Weighted l1 Minimization
• Certification of continuous-variable gates using average channel-fidelity witnesses
• Characterization of nonclassicality of Gaussian states initially generated in optical spontaneous parametric processes by means of induced stimulated emission
• Continuous Variable Quantum Advantages and Applications in Quantum Optics
• Quantum enhanced estimation of optical detector efficiencies
• Modeling Non-Covalent Interatomic Interactions on a Photonic Quantum Computer
• Selective quantum state tomography for continuous-variable systems
• Accurate photonic temporal mode analysis with reduced resources
• Nonlinear phase shifts of light trapped in a two-component Bose-Einstein condensate
• A Variational Approach to Unique Determinedness in Pure-state Tomography
• Single-shot quantum measurements sketch quantum many-body states
• Complex structure and characterization of multi-photon split states in integrated circuits
• Distortions produced in optical homodyne tomography
• Out-of-distribution generalisation for learning quantum channels with low-energy coherent states
• Extracting the physical sector of quantum states
• Adaptive sampling-based optimization of quantics tensor trains for noisy functions: applications to quantum simulations
• Scheme for directly observing the non-commutativity of the position and the momentum operators with interference
• Far-field linear optical superresolution via heterodyne detection in a higher-order local oscillator mode
• Strictly nonclassical behavior of a mesoscopic system
• Optimizing the quantum interference between single photons and local oscillator with photon correlations
• Controlled emission of entangled multiphoton states from cascaded quantum wells
• Complexity of quantum tomography from genuine non-Gaussian entanglement
• Direct experimental observation of sub-poissonian photon statistics by means of multi-photon scattering on a two-level system
• Bosonic randomized benchmarking with passive transformations
• Quantum non-Gaussian high Fock states of light pulses and their superpositions
• Tomography of parametrized quantum states
• Continuous measurements in probability representation of quantum mechanics
• Building trust for continuous variable quantum states
• Dirac's Quantum Phase Problem
• Tunable entanglement distillation of spatially correlated down-converted photons
• Quantum Entanglement Control in Two-Spin-1/2 NMR Systems Through Magnetic Fields and Temperature
• Degenerate Parametric Amplification of Squeezed Photons: Explicit Solutions, Statistics, Means and Variances
• Tomographic imaging of complete quantum state of matter by ultrafast diffraction
• Subcycle tomography of quantum light
• Hidden quantum correlations in cavity-based quantum optics
• Optimal unbiased state characterization
• Reliable confidence regions for quantum tomography using distribution moments
• Signatures of nonclassical effects in tomograms
• Semi-device-independent randomness certification on discretized continuous-variable platforms
• Sequential Quantum Measurements and the Instrumental Group Algebra
• Wigner function method for the Gibbons-Hawking and the Unruh effect
• Macroscopic Schrödinger-cat states of nonequilibrium electrons induced by cat-state optical driving and projective measurements on the light field
• Quantum Tomography of the Photon-Plasmon Conversion Process in a Metal Hole Array
• Ultimate Precision of Direct Tomography of Wave Functions
• Optimal strategies for transient and equilibrium quantum thermometry using Gaussian and non-Gaussian probes
• Efficient Characterization of N-Beam Gaussian Fields Through Photon-Number Measurements: Quantum Universal Invariants
• Direct measurement of the quantum state of photons in a cavity
• Effect of relativistic motion on witnessing non-classicality of quantum states
• Liouville Fock state lattices and potential simulators
• Verification of entangled states under noisy measurements
• Quantum subspace verification for error correction codes
• Measuring fluorescence into a nanofiber by observing field quadrature noise
• Deterministic photonic entanglement arising from non-Abelian quantum holonomy
• Investigating Pure State Uniqueness in Tomography via Optimization
• All-optical neural network quantum state tomography
• Experimental Verification of Entangled States in the Adversarial Scenario
• Efficient measurement of the time-dependent cavity field through compressed sensing
• Detecting Quantum Capacities of Continuous-Variable Quantum Channels
• The Wigner function negative value domains and energy function poles of the harmonic oscillator
• Non-Gaussian entanglement criteria for atomic homodyne detection
• Tomographic markers and photon addition to coherent states of light: Comparison with experiment
• Shot-Noise Limited Homodyne Detection for MHz Quantum Light Characterisation in the 2 μm Band
• Estimation of Wigner distribution of single mode Gaussian states: a comparative study
• Adding Photonic Entanglement to Superradiance by Using Multilevel Atoms
• Wigner function and photon number distribution of a superradiant state in semiconductor laser structures
• The Interplay between Quantum Contextuality and Wigner Negativity
• Spectral analysis of the Koopman operator as a framework for recovering Hamiltonian parameters in open quantum systems
• Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation
• Chaos-Mediated Quantum State Discrimination Near Unit Fidelity
• Localization of states, Bloch wave and quantum phase transitions in SUSY deformed potentials in non-Hermitian optical systems
• Using matrix-product states for time-series machine learning
• Asymmetry effects in homodyne and heterodyne measurements: Positive operator-valued measures and asymptotic security of Gaussian-continuous-variable quantum key distribution
• Can category-theoretic semantics resolve the problem of the interpretation of the quantum state vector?
• Binary Homodyne Detection for Observing Quadrature Squeezing in Satellite Links
• Quantum Process Tomography of an Optically-Controlled Kerr Non-linearity
• Stimulated Raman Spectroscopy with Entangled Light; Enhanced Resolution and Pathway Selection
• Efficient tomography of microwave photonic cluster states
• Classical analogy of a cat state using vortex light
• Maximum expectation of observables with restricted purity states
• Experimental Demonstration of Topological Charge Protection in Wigner Current
• Characterizing High-Dimensional Optical Systems with Applications in Compressive Sensing and Quantum Data Locking
• Finite-Resolution Limits on Quantum Uniqueness
• All-Optical Doubly Resonant Cavities for ReLU Function in Nanophotonic Deep Learning
• Extensible universal photonic quantum computing with nonlinearity
• Selective and efficient quantum state tomography for multi-qubit systems
• Ultrabroadband direct detection of nonclassical photon statistics at telecom wavelength
• Control of continuous-mode single-photon states: a review
• Some aspects of the interplay between bipartite correlations and quantum channels
• High-Rate Four Photon Subtraction from Squeezed Vacuum: Preparing Cat State for Optical Quantum Computation
• Hierarchic superradiant phases in anisotropic Dicke model
• Single Photon Near Field Emission and Revival in Quantum Dots
• A scheme for symmetrization verification
• Tomogram-based quantifiers of nonclassicality dynamics in Kerr and cubic media
• An investigation of nonclassical properties of light using an optical tomogram
• Tomographic and entropic analysis of modulated signals
• Optical Quantum Computing
• Two- and three-mode squeezing in a three-qubit entangled system
• Janus-faced tomograms and retrieval of quadrature moments for $q$-deformed states