When Are Quantum Systems Operationally Independent?

2008/10/31 by Miklós Rédei, Miklos Redei, Stephen J. Summers · 27 citations
Computer Science · Mathematics · Physics and Astronomy · #Independence (probability theory) #Noncommutative and Quantum Gravity Theories #Open quantum system #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum field theory #Quantum operation #Quantum process #Quantum system #Relation (database) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1007/s10773-009-0010-5

published in International Journal of Theoretical Physics 49(12), 3250-3261 (Springer Science+Business Media) · minor changes; to appear in Int. J. Theor. Phys

arxiv created 2009/04/10 · openalex publication_date 2009/05/22 · arxiv updated 2010/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose some formulations of the notion of "operational independence" of two subsystems of a larger quantum system and clarify their relation to other independence concepts in the literature. In addition, we indicate why the operational independence of quantum subsystems holds quite generally, both in nonrelativistic and relativistic quantum theory.

Citations

• Subalgebras of C*-algebras

Cited by

• Subsystems (in)dependence in GIE proposals
• TSIRELSON'S PROBLEM AND KIRCHBERG'S CONJECTURE

Related

• Subsystems and Independence in Relativistic Microscopic Physics
• ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY
• Quantum complementarity
• An operational distinction between quantum entanglement and classical non-separability
• Team Semantics and Independence Notions in Quantum Physics