Entropic Updating of Probability and Density Matrices
arXiv:1710.09373 · doi:10.3390/e19120664
Abstract
We find that the standard relative entropy and the Umegaki entropy are designed for the purpose of inferentially updating probability and density matrices respectively. From the same set of inferentially guided design criteria, both of the previously stated entropies are derived in parallel. This formulates a quantum maximum entropy method for the purpose of inferring density matrices in the absence of complete information in Quantum Mechanics.
arXiv commentarXiv admin note: text overlap with arXiv:1412.5644 by other authors
References in corpus (11)
- Quantum probabilities as Bayesian probabilities
- Continuous quantum measurement of a double dot
- Selective quantum evolution of a qubit state due to continuous measurement
- Updating Probabilities
- Quantum Bayes rule
- Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
- Incomplete descriptions and relevant entropies
- Quantum-classical interactions and measurement: a consistent description using statistical ensembles on configuration space
- Information geometry, dynamics and discrete quantum mechanics
- On a Differential Geometric Viewpoint of Jaynes' Maxent Method and its Quantum Extension
- Quantum collapse rules from the maximum relative entropy principle
Cited by in corpus (13)
- Entropy, Information, and the Updating of Probabilities
- State retrieval beyond Bayes' retrodiction
- Entropic dynamics on Gibbs statistical manifolds
- Comment on "Black Hole Entropy: A Closer Look"
- Entropic Dynamics of Exchange Rates and Options
- Entropic Density Functional Theory
- Entropic Dynamics of Stocks and European Options
- The Design of Global Correlation Quantifiers and Continuous Notions of Statistical Sufficiency
- Recoverability from direct quantum correlations
- Hybrid quantum-classical systems: statistics, entropy, microcanonical ensemble and its connection to the canonical ensemble
- Legendre transformation and information geometry for the maximum entropy theory of ecology
- Statistical Mechanics of Unconfined Systems: Challenges and Lessons
- Matrix systems, algebras, and open maps