Linking Measures for Macroscopic Quantum States via Photon-Spin Mapping

Abstract

We review and compare several measures that identify quantum states that are "macroscopically quantum". These measures were initially formulated either for photonic systems or spin ensembles. Here, we compare them through a simple model which maps photonic states to spin ensembles. On the one hand, we reveal problems for some spin measures to handle correctly photonic states that typically are considered to be macroscopically quantum. On the other hand, we find significant similarities between other measures even though they were differently motivated.

12 pages, 1 figure; published in a special issue of Optics Communications: "Macroscopic quantumness: theory and applications in optical sciences"; v2: minor changes

References in corpus (37)

• Quantum entanglement
• Decoherence, einselection, and the quantum origins of the classical
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Persistent entanglement in arrays of interacting particles
• Quantum interface between light and atomic ensembles
• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Atom chip based generation of entanglement for quantum metrology
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• A computable measure of nonclassicality for light
• Cavity cooling of an optically levitated nanoparticle
• Detecting multiparticle entanglement of Dicke states
• Macroscopicity of Mechanical Quantum Superposition States
• Extremal properties of the variance and the quantum Fisher information
• Heralded quantum entanglement between two crystals
• Measures of macroscopicity for quantum spin systems
• Quantification of Macroscopic Quantum Superpositions within Phase Space
• Observation of micro-macro entanglement of light
• On the effective size of certain "Schrödinger cat'' like states
• Displacing entanglement back and forth between the micro and macro domains
• A measurement-based measure of the size of macroscopic quantum superpositions
• Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements
• Kind of entanglement that speeds up quantum evolution
• Measuring the size of a Schroedinger cat state
• Generation of macroscopic singlet states in a cold atomic ensemble
• A size criterion for macroscopic superposition states
• Exploring Macroscopic Entanglement with a Single Photon and Coherent States
• Detection of Macroscopic Entanglement by Correlation of Local Observables
• The size of quantum superpositions as measured with "classical" detectors
• How difficult it is to prove the quantumness of macroscropic states?
• Quantum Fisher Information as the Convex Roof of Variance
• Superposition of macroscopically distinct states means large multipartite entanglement
• Measurement- and comparison-based sizes of Schrödinger cat states of light
• Are cloned quantum states macroscopic?
• Certifiability criterion for large-scale quantum systems
• Generation of NPT Entanglement from Nonclassical Photon Statistics
• Reply to Comment on "Quantification of Macroscopic Quantum Superpositions within Phase Space"

Cited by in corpus (32)

• Macroscopic quantum states: measures, fragility and implementations
• Detecting large quantum Fisher information with finite measurement precision
• A general framework for quantum macroscopicity in terms of coherence
• Necessary and sufficient conditions for macroscopic realism from quantum mechanics
• Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
• Characterizations and Quantifications of Macroscopic Quantumness and Its Implementations using Optical Fields
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• Dynamics of transient cat-states in degenerate parametric oscillation with and without nonlinear Kerr interactions
• Creation, storage and retrieval of an optomechanical cat state
• Quantifying the mesoscopic quantum coherence of approximate NOON states and spin-squeezed two-mode Bose-Einstein condensates
• Two-mode squeezed states as Schrodinger-cat-like states
• Quantum metrology with generalized cat states
• Quadrature coherence scale driven fast decoherence of bosonic quantum field states
• Quantum macroscopicity versus distillation of macroscopic superpositions
• Disturbance-Based Measure of Macroscopic Coherence
• Measuring the quadrature coherence scale on a cloud quantum computer
• Is macroscopic entanglement a typical trait of many-particle quantum states?
• Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions
• Quantifying the mesoscopic nature of the Einstein-Podolsky-Rosen nonlocality
• Macroscopically nonlocal quantum correlations
• Protected cat states from kinetic driving of a boson gas
• Fast generation of Cat states in Kerr nonlinear resonators via optimal adiabatic control
• Light-matter micro-macro entanglement
• Macroscopic superpositions as quantum ground states
• Insufficiency of avoided crossings for witnessing large-scale quantum coherence in flux qubits
• Conversion of Thermal Equilibrium States into Superpositions of Macroscopically Distinct States
• Efficient amplification of superpositions of coherent states using input states with different parities
• Quantifying the particle aspect of quantum systems
• Amplification of the quantum superposition macroscopicity of a flux qubit by a magnetized Bose gas
• Nonclassical states of light induced via measurement in a bimodalsystem
• Measuring outcome correlation for spin-s Bell cat-state and geometric phase induced spin parity effect
• Coherence Based Characterization of Macroscopic Quantumness