2018/08/31 by D. G. Bussandri, A. P. Majtey, A. Valdés-Hernández
Computer Science · Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Bipartite graph #Commutative property #Measure (data warehouse) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum computer #Quantum correlation #Quantum operation #Quantum process #quant-ph
paper · pdf · doi:10.1007/s11128-018-2154-9
published as Quantum Inf Process (2019) 18:47
openalex created_date 2018/08/22 · openalex publication_date 2019/01/02 · arxiv created 2019/02/25 · arxiv updated 2019/02/27 · openalex updated_date 2026/08/05
We study some desirable properties of recently introduced measures of quantum correlations based on the amount of non-commutativity quantified by the Hilbert-Schmidt norm (Sci Rep 6:25241, 2016, and Quantum Inf. Process. 16:226, 2017). Specifically, we show that: 1) for any bipartite (A+B) state, the measures of quantum correlations with respect to subsystem A are non-increasing under any Local Commutative Preserving Operation on subsystem A, and 2) for Bell diagonal states, the measures are non-increasing under arbitrary local operations on B. Our results accentuate the potentialities of such measures, and exhibit them as valid monotones in a resource theory of quantum correlations with free operations restricted to the appropriate local channels.