2010/03/31 by Andreas Osterloh, Jens Siewert · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Conjecture #Discrete mathematics #Formalism (music) #Invariant (physics) #LOCC #Mathematical physics #Mathematics #Observable #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.86.042302
published as Phys. Rev. A 86, 042302 (2012) · 6 pages, revtex4-1. An erroneous formula has been repaired. Several concepts are explained better. Updated references. To be published in Phys. Rev. A
arxiv created 2012/09/25 · openalex publication_date 2012/10/01 · openalex created_date 2016/06/24 · arxiv updated 2016/12/12 · openalex updated_date 2026/08/05
Characterization and quantification of multipartite entanglement is one of the challenges in state-of-the-art experiments in quantum-information processing. According to theory, this is achieved via entanglement monotones, that is, functions that do not increase under stochastic local operations and classical communication (SLOCC). Typically such monotones include the wave function and its time reversal (antilinear-operator formalism) or they are based on not completely positive maps (e.g., partial transpose). Therefore, they are not directly accessible to experimental observations. We show how entanglement monotones derived from polynomial local SL(2,\phantom\rule2.40005pt0exwidth.04emheight1.46exdepth\ensuremath-.07exC) invariants can be re-written in terms of expectation values of observables. Consequently, the amount of entanglement---of specific SLOCC classes---in a given state can be extracted from the measurement of correlation functions of local operators.