Entanglement, Complexity, and Causal Asymmetry in Quantum Theories

Abstract

It is often claimed that one cannot locate a notion of causation in fundamental physical theories. The reason most commonly given is that the dynamics of those theories do not support any distinction between the past and the future, and this vitiates any attempt to locate a notion of causal asymmetry -- and thus of causation -- in fundamental physical theories. I argue that this is incorrect: the ubiquitous generation of entanglement between quantum systems grounds a relevant asymmetry in the dynamical evolution of quantum systems. I show that by exploiting a connection between the amount of entanglement in a quantum state and the algorithmic complexity of that state, one can use recently developed tools for causal inference to identify a causal asymmetry -- and a notion of causation -- in the dynamical evolution of quantum systems. https://doi.org/10.1007/s10701-022-00562-0

arXiv comment46 pages, 2 figures

References in corpus (49)

• Quantum information with continuous variables
• On the volume of the set of mixed entangled states
• Time-dependence of correlation functions following a quantum quench
• Multi-party entanglement in graph states
• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• Quantum correlations with no causal order
• Quantum mechanical evolution towards thermal equilibrium
• Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence (1995)
• Foundation of Statistical Mechanics under experimentally realistic conditions
• Theoretical framework for quantum networks
• Characterizing Entanglement
• A Schmidt number for density matrices
• Quantum tensor product structures are observable-induced
• The lesson of causal discovery algorithms for quantum correlations: Causal explanations of Bell-inequality violations require fine-tuning
• Towards a Formulation of Quantum Theory as a Causally Neutral Theory of Bayesian Inference
• Experimental Verification of an Indefinite Causal Order
• Quantum causal modelling
• The Schmidt Measure as a Tool for Quantifying Multi-Particle Entanglement
• Quantum equilibration in finite time
• Schmidt number witnesses and bound entanglement
• Deep inelastic scattering as a probe of entanglement
• Quantum common causes and quantum causal models
• General entanglement scaling laws from time evolution
• Information-Theoretic Implications of Quantum Causal Structures
• Inferring causal structure: a quantum advantage
• Entanglement and the Thermodynamic Arrow of Time
• Universal quantum computation with little entanglement
• Quantum Kolmogorov Complexity
• On the time scales in the approach to equilibrium of macroscopic quantum systems
• Maximal Entanglement in High Energy Physics
• Entanglement Entropy of Scattering Particles
• Quantum Systems Equilibrate Rapidly for Most Observables
• The arrow of causality and quantum gravity
• Quantum Kolmogorov Complexity Based on Classical Descriptions
• Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
• Causal structures from entropic information: Geometry and novel scenarios
• Quantum Mereology: Factorizing Hilbert Space into Subsystems with Quasi-Classical Dynamics
• Algorithmic complexity and entanglement of quantum states
• Thermal equilibrium of a macroscopic quantum system in a pure state
• Bipartite Mixed States of Infinite-Dimensional Systems are Generically Nonseparable
• The arrow of time in operational formulations of quantum theory
• Macroscopic and Microscopic Thermal Equilibrium
• Three myths about time reversal in quantum theory
• Locality from the Spectrum
• Causal Asymmetry in a Quantum World
• Entanglement isn't just for spin
• Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference
• Complexity of decoupling and time-reversal for n spins with pair-interactions: Arrow of time in quantum control
• Does universal controllability of physical systems prohibit thermodynamic cycles?