Density Matrix From Photon Number Tomography

Abstract

We provide a simple analytic relation which connects the density operator of the radiation field with the number probabilities. The problem of experimentally "sampling" a general matrix elements is studied, and the deleterious effects of nonunit quantum efficiency in the detection process are analyzed showing how they can be reduced by using the squeezing technique. The obtained result is particulary useful for intracavity field reconstruction states.

LATEX,6 pages,accepted by Europhysics Letters

References in corpus (1)

• Direct Probing of Quantum Phase Space by Photon Counting

Cited by in corpus (40)

• An introduction to the tomographic picture of quantum mechanics
• Phase-space formulation of quantum mechanics and quantum state reconstruction for physical systems with Lie-group symmetries
• Tomograms and other transforms. A unified view
• Energy-Sensitive and "Classical-like" Distances Between Quantum States
• Different realizations of tomographic principle in quantum state measurement
• Time-Dependent Invariants and Green's Functions in the Probability Representation of Quantum Mechanics
• Self-homodyne tomography of a twin-beam state
• On the meaning and interpretation of Tomography in abstract Hilbert spaces
• A tomographic setting for quasi-distribution functions
• Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics
• Tomographic entropic inequalities in the probability representation of quantum mechanics
• Optimized Tomography of Continuous Variable Systems Using Excitation Counting
• Reconstruction of SU(1,1) States
• Quantum Interference between a Single-Photon Fock State and a Coherent State
• Geometrical picture of photocounting measurements
• Simulation of tunneling in the quantum tomography approach
• Quantum State Reconstruction of a Bose-Einstein Condensate
• Groupoids and the tomographic picture of quantum mechanics
• Different instances of time as different quantum modes: quantum states across space-time for continuous variables
• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• Photon-number tomography of multimode states and positivity of the density matrix
• Beyond the Standard "Marginalizations" of Wigner Function
• Dual form of the phase-space classical simulation problem in quantum optics
• Qubit portrait of the photon-number tomogram and separability of two-mode light states
• Photon number and optical tomograms for Gaussian states
• Synthesis and characterization of entangled mesoscopic superpositions for a trapped electron
• Photocounting measurements with dead time and afterpulses in the continuous-wave regime
• Schroedinger-Cat Entangled State Reconstruction in the Penning Trap
• Accessing continuous-variable entanglement witnesses with multimode spin observables
• Towards a tomographic picture of a Bose-Einstein condensate
• Quantum Characterization of a Werner-like Mixture
• Measuring the Cyclotron State of a Trapped Electron
• Tomography on f-oscillators
• MuSR method and tomographic probability representation of spin states
• Distances between quantum states in the tomographic-probability representation
• Nonclassical correlations of radiation in relation to Bell nonlocality
• CQED quantum tomography of a microwave range
• Density matrix reconstruction from displaced photon number distributions
• Deformation quantization and the tomographic representation of quantum fields
• Probability Representation of Quantum Mechanics: Comments and Bibliography