2003/08/07 by Paolo Zanardi, Daniel Lidar, Daniel A. Lidar +1 · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic number #Combinatorics #Computer science #Geometry #Mathematical analysis #Mathematics #Multipartite #Observable #Partition (number theory) #Physics #Product (mathematics) #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum state #Statistical physics #Tensor (intrinsic definition) #Tensor contraction #Tensor product #Tensor product of Hilbert spaces #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physrevlett.92.060402
published as Phys.Rev.Lett.92:060402,2004 · 5 Pages LaTeX
arxiv created 2003/08/07 · openalex publication_date 2004/02/10 · arxiv updated 2011/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multipartite tensor product structure of the state space and the associated notion of quantum entanglement are then relative and observable induced. We develop a general algebraic framework aimed to formalize this concept.