2010/04/30 by J. Sperling, J Sperling, W. Vogel +1 · 71 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Ambiguity #Characterization (materials science) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum information #Quantum operation #Quantum process #Regular polygon #Superposition principle #quant-ph
paper · pdf · doi:10.1088/0031-8949/90/7/074024
published in Physica Scripta 90(7), 074024 (IOP Publishing) · 9 pages, 2 figures, revised version; published in special issue "150 years of Margarita and Vladimir Man'ko"
openalex publication_date 2015/06/01 · arxiv created 2015/06/23 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The characterization of physical systems requires a comprehensive understanding of quantum effects. One aspect is a proper quantification of the strength of such quantum phenomena. Here, a general convex ordering of quantum states will be introduced which is based on the algebraic definition of classical states. This definition resolves the ambiguity of the quantumness quantification using topological distance measures. Classical operations on quantum states will be considered to further generalize the ordering prescription. Our technique can be used for a natural and unambiguous quantification of general quantum properties whose classical reference has a convex structure. We apply this method to typical scenarios in quantum optics and quantum information theory to study measures which are based on the fundamental quantum superposition principle.