Interplay of nonclassicality and entanglement of two-mode Gaussian fields generated in optical parametric processes
arXiv:1605.07375 · doi:10.1103/PhysRevA.94.013807
Abstract
The behavior of general nonclassical two-mode Gaussian states at a beam splitter is investigated. Single-mode nonclassicality as well as two-mode entanglement of both input and output states are analyzed suggesting their suitable quantifiers. These quantifiers are derived from local and global invariants of linear unitary two-mode transformations such that the sum of input (or output) local nonclassicality measures and entanglement measure gives a global invariant. This invariant quantifies the global nonclassicality resource. Mutual transformations of local nonclassicalities and entanglement induced by the beam splitter are analyzed considering incident noisy twin beams, single-mode noisy squeezed vacuum states, and states encompassing both squeezed states and twin beams. A rich tapestry of interesting nonclassical output states is predicted.
arXiv comment16 pages, 13 figures
References in corpus (29)
- Quantum entanglement
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Peres-Horodecki separability criterion for continuous variable systems
- The logarithmic negativity: A full entanglement monotone that is not convex
- Separability criterion and inseparable mixed states with positive partial transposition
- Squeezing as an irreducible resource
- Quantum optics in the phase space - A tutorial on Gaussian states
- A computable measure of nonclassicality for light
- Squeezed-Light Optical Magnetometry
- Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
- Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
- Unified quantification of nonclassicality and entanglement
- Nonclassical correlation properties of radiation fields
- Direct measurement and reconstruction of nonclassical features of twin beams generated in spontaneous parametric down-conversion
- Statistical mixtures of states can be more quantum than their superpositions: Comparison of nonclassicality measures for single-qubit states
- Photon-number distributions of twin beams generated in spontaneous parametric down-conversion and measured by an intensified CCD camera
- Conservation relation of nonclassicality and entanglement for Gaussian states in a beam-splitter
- Sudden vanishing and reappearance of nonclassical effects: General occurrence of finite-time decays and periodic vanishings of nonclassicality and entanglement witnesses
- Unified nonclassicality criteria
- Generalized structure of higher order nonclassicality
- State reconstruction of a multimode twin beam using photodetection
- Bures distance as a measure of entanglement for symmetric two-mode Gaussian states
- Increasing relative nonclassicality quantified by standard entanglement potentials by dissipation and unbalanced beam splitting
- Nonclassicality Invariant of General Two-Mode Gaussian States
- Comparative study of nonclassicality, entanglement, and dimensionality of multimode noisy twin beams
- Characterizing the non-classicality of mesoscopic optical twin-beam states
- Single- and two-mode quantumness at a beam splitter
- Macroscopic Hong-Ou-Mandel interference
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- Many-particle entanglement criterion for superradiant-like states
- Higher order nonclassicalities of finite dimensional coherent states: A comparative study
- Experimental detection of nonclassicality of single-mode fields via intensity moments
- Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
- Quantifications for multi-mode entanglement
- Maximum entanglement of formation for a two-mode Gaussian state over passive operations
- Experimental identification of non-classicality of noisy twin beams and other related two-mode states
- Complete identification of nonclassicality of Gaussian states via intensity moments
- Evolution of two-mode quantum states under a dissipative environment: which quantum resource survives better, squeezing or entanglement?
- Anatomy of entanglement and nonclassicality criteria
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- Retrieving the Covariance Matrix of an Unknown Two-Mode Gaussian State by Means of a Reference Twin Beam
- Measuring nonclasicality of single-mode systems
- Entanglement, violation of Kramers-Kronig relation and curvature in spacetime
- Entanglement, loss, and quantumness: When balanced beam splitters are best
- Characterization of nonclassicality of Gaussian states initially generated in optical spontaneous parametric processes by means of induced stimulated emission
- Experimental pre-assessing entanglement in Gaussian states mixing