2008/02/29 by Mário Ziman, Mario Ziman · 24 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Computer science #Entropy (arrow of time) #Generalized relative entropy #Joint quantum entropy #Mathematics #Maximum entropy probability distribution #Maximum entropy thermodynamics #Physics #Principle of maximum entropy #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum relative entropy #Quantum state #Statistical Mechanics and Entropy #Statistical physics #Statistics #Von Neumann entropy #quant-ph
paper · pdf · doi:10.1103/physreva.78.032118
published in Physical Review A 78(3) (American Physical Society) · 8 pages, comments welcome, references added
openalex publication_date 2008/09/30 · arxiv created 2009/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Our main goal is to extend and apply the principle of maximum entropy (MaxEnt) to incomplete quantum process estimation tasks. We will define a so-called process entropy function being the von Neumann entropy of the state associated with the quantum process via Choi-Jamiolkowski isomorphism. It will be shown that an arbitrary process estimation experiment can be reformulated in a unified framework and the MaxEnt principle can be consistently exploited. We will argue that the suggested choice for the process entropy satisfies a natural list of properties and it reduces to the state MaxEnt principle if applied to preparator devices.