Quantum Prediction Algorithms
arXiv:gr-qc/9610028 · doi:10.1103/PhysRevA.55.1703
Abstract
The consistent histories formulation of the quantum theory of a closed system with pure initial state defines an infinite number of incompatible consistent sets, each of which gives a possible description of the physics. We investigate the possibility of using the properties of the Schmidt decomposition to define an algorithm which selects a single, physically natural, consistent set. We explain the problems which arise, set out some possible algorithms, and explain their properties with the aid of simple models. Though the discussion is framed in the language of the consistent histories approach, it is intended to highlight the difficulty in making any interpretation of quantum theory based on decoherence into a mathematically precise theory.
53 pages, RevTeX with LaTeX2e
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- A Scheme to Probe the Decoherence of a Macroscopic Object
- Why Decoherence has not Solved the Measurement Problem: A Response to P. W. Anderson
- Continuous measurements, quantum trajectories, and decoherent histories
- The Objective Past of a Quantum Universe: Redundant Records of Consistent Histories
- Functional Approach to Quantum Decoherence and the Classical Final Limit
- Combining Bohm and Everett: Axiomatics for a Standalone Quantum Mechanics
- Classical branches and entanglement structure in the wavefunction of cosmological fluctuations
- Maximum Information and Quantum Prediction Algorithms
- Classical from Quantum
- Creation of unstable particles and decoherence in semiclassical cosmology
- The Copenhagen Interpretation as an Emergent Phenomenon