Algorithmic Information Theoretic Issues in Quantum Mechanics
arXiv:quant-ph/0110018
Abstract
taking aside the review part, a finite-cardinality's set of new ideas concerning algorithmic information issues in Quantum Mechanics is introduced and analyzed
revised version of my PHD-thesis
References in corpus (20)
- Quantum Games and Quantum Strategies
- Unknown Quantum States: The Quantum de Finetti Representation
- An Introduction to Noncommutative Spaces and their Geometry
- Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces
- Quantum Bayes rule
- The Limits of Mathematics
- Quantum Kolmogorov Complexity
- Coding Theorems of Quantum Information Theory
- Classical and Quantum Probability
- Quantum Kolmogorov Complexity Based on Classical Descriptions
- Quantum Nondemolition Monitoring of Universal Quantum Computers
- The Halting Problem for Quantum Computers
- Quantum algorithmic information theory
- Extending the Fisher metric to density matrices
- Quantum State Reduction and the Quantum Bayes Principle
- Extending the Lambda Calculus to Express Randomized and Quantumized Algorithms
- Quantum Information and Quantum Black Holes
- A simple Example of Definitions of Truth, Validity, Consistency, and Completeness in Quantum Mechanics
- The analytic quantum information manifold
- The halting problem for universal quantum computers
Cited by in corpus (8)
- Typical support and Sanov large deviations of correlated states
- The information-theoretical viewpoint on the physical complexity of classical and quantum objects and their dynamical evolution
- The No Cloning Theorem versus the Second Law of Thermodynamics
- Two spaces that already found their geometer in the thirties
- Noncommutative Bayesian Statistical Inference from a wedge of a Bifurcate Killing Horizon
- Quantum substitutions of Pisot type, their quantum topological entropy and their use for optimal spacing
- Second Quantized Kolmogorov Complexity
- Classification of the automorphisms of the noncommutative torus among the (chaotic and non-chaotic) shallow ones and the non-chaotic complex ones