2015/03/30 by Xiaohua Wu, Tao Zhou · 13 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Computer science #Generalization #Isomorphism (crystallography) #Mathematical analysis #Mathematical physics #Mathematics #Numerical analysis #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum mechanics #Qubit #Set (abstract data type) #Transcendental equation #Transcendental number #quant-ph
paper · pdf · doi:10.1007/s11128-015-0962-8
published in Quantum Information Processing 14(6), 1959-1971 (Springer Science+Business Media) · 6 pages, no figure, accepted by QINP
openalex publication_date 2015/03/30 · arxiv created 2015/04/01 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently, Girolami and Adesso have demonstrated that the calculation of quantum discord for two-qubit case can be viewed as to solve a pair of transcendental equation (Phys. Rev. A, \bf 83, 052108(2011)). In present work, we introduce the generalized Choi-Jamiolkowski isomorphism and apply it as a convenient tool for constructing transcendental equations. For the general two-qubit case, we show that the transcendental equations always have a finite set of universal solutions, this result can be viewed as a generalization of the one get by Ali, Rau, and Alber (Phys. Rev. A, \bf 81, 042105 (2010)). For a subclass of X state, we find the analytical solutions by solving the transcendental equations.