Quantum Probability and Quantum Information Theory
arXiv:2607.03295 · doi:10.1007/978-3-642-11914-9_3
Abstract
This is an introductory course on quantum probability and quantum information, based on matrix algebras.
43 pages, 11 figures. Course given at the 2006 summer school in Trieste on Quantum Information, Computation and Cryptography. Elements of this course will appear in a book of Burkhard Kümmerer and the author on quantum Markov chains
Cited by in corpus (14)
- From Kleisli Categories to Commutative C*-algebras: Probabilistic Gelfand Duality
- Axioms for retrodiction: achieving time-reversal symmetry with a prior
- Categories of relations as models of quantum theory
- The Category of Von Neumann Algebras
- Bayesian inversion and the Tomita-Takesaki modular group
- On optimal currents of indistinguishable particles
- Ergodic Classical-Quantum Channels: Structure and Coding Theorems
- Conditional Distributions for Quantum Systems
- Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups
- Quantum Interval-Valued Probability: Contextuality and the Born Rule
- Model Reduction for Quantum Systems: Discrete-time Quantum Walks and Open Markov Dynamics
- Emergent Gauge Symmetries and Quantum Operations
- On-State Commutativity of Measurements and Joint Distributions of Their Outcomes
- Duplicable von Neumann Algebras