Nonclassicality filters and quasiprobabilities

2010/04/30 by T. Kiesel, W. Vogel · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Coherent states #Homodyne detection #Mathematics #Nonclassical light #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum optics #Quantum state #Spectroscopy and Quantum Chemical Studies #Squeezed coherent state #State (computer science) #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.82.032107

published as Phys. Rev. A 82, 032107 (2010) · Significantly revised version, more emphasis on practical application

openalex publication_date 2010/09/13 · arxiv created 2010/09/14 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Necessary and sufficient conditions for the nonclassicality of bosonic quantum states are formulated by introducing nonclassicality filters and nonclassicality quasiprobability distributions. Regular quasiprobabilities are constructed from characteristic functions which can be directly sampled by balanced homodyne detection. Their negativities uncover the nonclassical effects of general quantum states. The method is illustrated by visualizing the nonclassical nature of a squeezed state.

Citations

• Complete Characterization of Quantum-Optical Processes
• Density Operators and Quasiprobability Distributions
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• Coherent and Incoherent States of the Radiation Field
• On the Quantum Correction For Thermodynamic Equilibrium

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