Universal structure of objective states in all fundamental causal theories

Abstract

A crucial question is how objective and classical behavior arises from a fundamental physical theory. Here we provide a natural definition of a decoherence process valid in all causal theories, and show how its behavior can be extremely different from the quantum one. Remarkably, despite this, we prove that the so-called spectrum broadcast structure characterizes all objective states in every fundamental causal theory, exactly as in quantum mechanics. Our results show a stark contrast between the extraordinarily diverse decoherence behavior and the universal features of objectivity.

5+20 pages, 4+9 figures, close to published version

References in corpus (59)

• Decoherence, einselection, and the quantum origins of the classical
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Informational derivation of Quantum Theory
• Probing Planck-scale physics with quantum optics
• Quantum Darwinism
• Probabilistic theories with purification
• How Quantum Mechanics can consistently describe the use of itself
• Quantum theory cannot consistently describe the use of itself
• A derivation of quantum theory from physical requirements
• A generalized no-broadcasting theorem
• Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure
• Objective properties from subjective quantum states: Environment as a witness
• Almost quantum correlations
• Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information
• General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
• Quantum from principles
• Quasi-quantization: classical statistical theories with an epistemic restriction
• The completeness of quantum theory for predicting measurement outcomes
• Introduction to the book "Quantum Theory: Informational Foundations and Foils"
• A no-go theorem for observer-independent facts
• Generalized Probability Theories: What determines the structure of quantum theory?
• Resource Destroying Maps
• Generic emergence of classical features in quantum Darwinism
• Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe
• Higher-order interference and single-system postulates characterizing quantum theory
• Limited Holism and Real-Vector-Space Quantum Theory
• Quantum origins of objectivity
• Entropy and Information Causality in General Probabilistic Theories
• Entropy in general physical theories
• Generalized Probabilistic Theories Without the No-Restriction Hypothesis
• Objectivity in the Photonic Environment Through State Information Broadcasting
• Distinguishability Measures and Entropies for General Probabilistic Theories
• Strong Quantum Darwinism and Strong Independence is equivalent to Spectrum Broadcast Structure
• Entanglement and thermodynamics in general probabilistic theories
• Entanglement is an inevitable feature of any non-classical theory
• Entanglement is necessary for emergent classicality in all physical theories
• Objectivity in non-Markovian spin-boson model
• Monitoring of the process of system information broadcasting in time
• Generic emergence of objectivity of observables in infinite dimensions
• Computation in generalised probabilistic theories
• Thermodynamics and the structure of quantum theory
• The computational landscape of general physical theories
• Reconstructing quantum theory from diagrammatic postulates
• Generic appearance of objective results in quantum measurements
• Dynamical Objectivity in Quantum Brownian Motion
• Microcanonical thermodynamics in general physical theories
• Objectivity (or lack there of): a comparison between predictions of quantum Darwinism and spectrum broadcast structure
• Discord and non-classicality in probabilistic theories
• Almost quantum correlations violate the no-restriction hypothesis
• Composites and Categories of Euclidean Jordan Algebras
• Quantum-correlation breaking channels, broadcasting scenarios, and finite Markov chains
• Quantum discord is Bohr's notion of non-mechanical disturbance introduced in his answer to EPR
• Leaks: quantum, classical, intermediate, and more
• Witnessing non-objectivity in the framework of strong quantum Darwinism
• System information propagation for spin structures
• How to make unforgeable money in generalised probabilistic theories
• Simple proof of the impossibility of bit-commitment in generalised probabilistic theories using cone programming
• Information transfer during the universal gravitational decoherence
• Analytical studies of Spectrum Broadcast Structures in Quantum Brownian Motion

Cited by in corpus (8)

• General probabilistic theories: An introduction
• A no-go theorem on the nature of the gravitational field beyond quantum theory
• Roads to objectivity: Quantum Darwinism, Spectrum Broadcast Structures, and Strong quantum Darwinism -- a review
• Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality
• Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure
• Bell Nonlocality in Classical Systems Coexisting with other System Types
• Quantum Darwinism and the spreading of classical information in non-classical theories
• Randomness-free Detection of Non-projective Measurements: Qubits & beyond