Classical world arising out of quantum physics under the restriction of coarse-grained measurements

Abstract

Conceptually different from the decoherence program, we present a novel theoretical approach to macroscopic realism and classical physics within quantum theory. It focuses on the limits of observability of quantum effects of macroscopic objects, i.e., on the required precision of our measurement apparatuses such that quantum phenomena can still be observed. First, we demonstrate that for unrestricted measurement accuracy no classical description is possible for arbitrarily large systems. Then we show for a certain time evolution that under coarse-grained measurements not only macrorealism but even the classical Newtonian laws emerge out of the Schroedinger equation and the projection postulate.

4 pages, 1 figure, second revised and published version

References in corpus (1)

• Quasiclassical Coarse Graining and Thermodynamic Entropy

Cited by in corpus (144)

• Quantum correlations with no causal order
• Leggett-Garg Inequalities
• Macroscopic quantum states: measures, fragility and implementations
• Condition for macroscopic realism beyond the Leggett-Garg inequalities
• The conditions for quantum violation of macroscopic realism
• Detecting large quantum Fisher information with finite measurement precision
• Temporal quantum correlations and Leggett-Garg inequalities in multi-level systems
• A general framework for quantum macroscopicity in terms of coherence
• Violation of Leggett-Garg inequalities in quantum measurements with variable resolution and back-action
• Addressing the clumsiness loophole in a Leggett-Garg test of macrorealism
• On Formalisms and Interpretations
• Necessary and sufficient conditions for macroscopic realism from quantum mechanics
• Entanglement of quantum clocks through gravity
• Failure of Local Realism Revealed by Extremely Coarse-Grained Measurements
• Coarse Graining Makes It Hard to See Micro-Macro Entanglement
• Coarsening Measurement References and the Quantum-to-Classical Transition
• Quantum Mereology: Factorizing Hilbert Space into Subsystems with Quasi-Classical Dynamics
• Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• Macroscopic superpositions require tremendous measurement devices
• Leggett-Garg inequalities and the geometry of the cut polytope
• Wigner's form of the Leggett-Garg inequality, No-Signalling in Time, and Unsharp Measurements
• Nonclassical time correlation functions in continuous quantum measurement
• Optimal Uncertainty Relations for Extremely Coarse-grained Measurements
• Leggett--Garg inequality violations with a large ensemble of qubits
• Macrorealism from entropic Leggett-Garg inequalities
• How difficult it is to prove the quantumness of macroscropic states?
• Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
• Optimal experimental demonstration of error-tolerant quantum witnesses
• Anomalous Weak Values and the Violation of a Multiple-measurement Leggett-Garg Inequality
• Study of temporal quantum correlations in decohering B and K meson systems
• Roughness as Classicality Indicator of a Quantum State
• Quantum to classical transition via fuzzy measurements on high gain spontaneous parametric down-conversion
• Interference experiment, anomalous weak value and Leggett-Garg test of macrorealism
• Quantum behavior of a many photons cavity field revealed by quantum discord
• Local Realism of Macroscopic Correlations
• Leggett-Garg Macrorealism and temporal correlations
• Dynamics of Global Entanglement under Decoherence
• Creating and detecting micro-macro photon-number entanglement by amplifying and de-amplifying a single-photon entangled state
• Modeling Leggett-Garg-inequality violation
• Transformation of Spin in Quantum Reference Frames
• Probing the limits of correlations in an indivisible quantum system
• Inequivalent Leggett-Garg inequalities
• Uncertainty Relations for coarse-grained measurements: an overview
• Quantum Phase Transitions detected by a local probe using Time Correlations and Violations of Leggett-Garg Inequalities
• Emerging dynamics arising from coarse-grained quantum systems
• Quantum mechanical violation of macrorealism for large spin and its robustness against coarse-grained measurements
• Coarse graining Shannon and von Neumann entropies
• Quantum Cognitive Triad. Semantic geometry of context representation
• Global triplewise information trade-off in quantum measurement
• Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement
• Quantum State Reduction: Generalized Bipartitions from Algebras of Observables
• Quantum violation of variants of LGIs upto algebraic maximum for qubit system
• Disturbance-Based Measure of Macroscopic Coherence
• Using macroscopic entanglement to close the detection loophole in Bell inequality
• No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations
• Natural classical limit for the center of mass of many-particle quantum systems
• Gaussian states under coarse-grained continuous variable measurements
• Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
• Optimal violation of Leggett-Garg inequality for arbitrary spin and emergence of classicality through unsharp measurement
• Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction
• Proposal for a macroscopic test of local realism with phase-space measurements
• Signifying the Schrodinger cat in the context of testing macroscopic realism
• Entanglement detection with bounded reference frames
• Emergence of classical behavior from the quantum spin
• Coherence, Asymmetry, and Quantum Macroscopicity
• Macroscopically nonlocal quantum correlations
• Algebraic maximum violation of the Leggett-Garg inequality in a two-level system under PT symmetric dynamics
• Interference of macroscopic beams on a beam splitter: phase uncertainty converted into photon-number uncertainty
• Leggett-Garg inequalities for the statistics of electron transport
• Probing inequivalent forms of Legget-Garg inequality in subatomic systems
• The Montevideo Interpretation: How the inclusion of a Quantum Gravitational Notion of Time Solves the Measurement Problem
• Decoherence and multipartite entanglement of non-inertial observers
• Intrinsic properties of quantum systems
• Correlation Measure Equivalence in Dynamic Causal Structures of Quantum Gravity
• Macroscopic superpositions as quantum ground states
• Quantum models of classical mechanics: maximum entropy packets
• Continuous-Variable Nonclassicality Detection under Coarse-Grained Measurement
• Threshold size for the emergence of a classical-like behaviour
• Quantum Histories and Quantum Gravity
• Persistence of quantum violation of macrorealism for large spins even under coarsening of measurement times
• Theory of Quantum Gravity Information Processing
• Entanglement dynamics and decoherence of an atom coupled to a dissipative cavity field
• A new class of time-dependent Bell inequalities in Wigner form
• Fuzzy measurements and coarse graining in quantum many-body systems
• What can we learn about islands and state paradox from quantum information theory?
• Dark energy effects in the Schrödinger-Newton approach
• Decay of quantumness in a measurement process: Action of a coarse-graining channel
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Coarse Quantum Measurement: An analysis of the Stern Gerlach experiment
• The collapse of a quantum state as a joint probability construction
• Connecting measurement invasiveness to optimal metrological scenarios
• A local-time-induced unique pointer basis
• Experimental realization of an analog of entanglement between two Brownian particles
• Relaxation time for monitoring the quantumness of an intense cavity field
• Classical correspondence beyond the Ehrenfest time for open quantum systems with general Lindbladians
• Weak values from path integrals
• Quasiprobability distributions with weak measurements
• The problem of quantum correlations and the totalitarian principle
• The Nature of Time: from a Timeless Hamiltonian Framework to Clock Time of Metrology
• Correlations in local measurements and entanglement in many-body systems
• Violation of smooth observable macroscopic realism in a harmonic oscillator
• Phase properties of operator valued measures in phase space
• Quantum Bell inequalities from Information Causality -- tight for Macroscopic Locality
• Tests of macrorealism in meson oscillation physics
• Leggett-Garg test of macrorealism using indefinite causal order of measurements
• Proposal for a clumsiness-free test of macroscopic realism
• Is the local linearity of space-time inherited from the linearity of probabilities?
• Smooth Entropy Transfer of Quantum Gravity Information Processing
• Study of nonlocal correlations in macroscopic measurement scenario
• Quantum Correlations in NMR systems
• Lüders bounds of Leggett-Garg inequalities, $\mathcal{P}\mathcal{T}$- symmetric evolution and arrow-of-time
• Reductions in finite-dimensional quantum mechanics: from symmetries to operator algebras and beyond
• The Leggett-Garg inequality and Page-Wootters mechanism
• Noise-adaptive test of quantum correlations with quasiprobability functions
• Role of nonclassical temporal correlation in powering quantum random access codes
• Quantum models of classical world
• Evidence of macroscopically entangled protons in a mixed isotope crystal of KH${}_p$D${}_{1-p}$CO${}_3$
• Coarse-grained dynamics in quantum many-body systems using the maximum entropy principle
• Violations of the Leggett-Garg inequality for coherent and cat states
• Nuclear Spins as Quantum Testbeds: Singlet States, Quantum Correlations, and Delayed-choice Experiments
• Quantum violations of Lüders bound Leggett-Garg inequalities for quantum channel
• Exploring Quantumness at Long-Baseline Neutrino Experiments
• Classicalization of Quantum State of Detector by Amplification Process
• An Exact Five-Step Method for Classicalizing N-level Quantum Systems: Application to Quantum Entanglement Dynamics
• Nonclassical detectors and nonclassicality
• Nonlocal control of the quantum state of light
• Transition to the classical regime in quantum mechanics on a lattice and implications of discontinuous space
• Weak Classicality in Coupled N-Level Quantum Systems
• Relational superposition measurements with a material quantum ruler
• Classifying Measurement Incompatibility under Classical Pre- and Post-Processing Operations
• In the Kreisgang between classical and quantum physics
• Ideal stochastic process modeling with post-quantum quasiprobabilistic theories
• No-local-broadcasting theorem for non-signalling behaviours and assemblages
• Quantum theory at the macroscopic scale
• Degree of Fuzziness in Coarsened Measurement References
• Position-Momenta Uncertainties in Classical Systems
• Leggett-Garg inequalities with deformed Pegg-Barnett phase observables
• Limits of Absoluteness of Observed Events in Timelike Scenarios: A No-Go Theorem
• Quantum Metrology under Coarse-Grained Measurement
• Emergence of Classical Dynamics from a Random Matrix Schrödinger Model
• Conjugate measurements, equilibration and emergent classicality
• Light polarization measurements in tests of macrorealism
• Quantum wave packets in space and time and an improved criterion for classical behavior