2014/07/31 by Tomasz Maciazek, Tomasz Macia̧żek, Adam Sawicki · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum many-body systems #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/1751-8113/48/4/045305
published as 2015 J. Phys. A: Math. Theor. 48 045305 · 16 pages, 3 figures
openalex publication_date 2015/01/05 · arxiv created 2015/01/07 · arxiv updated 2015/01/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We present a substantially improved version of the method proposed by Sawicki et al (2012 Phys. Rev. A 86 040304(R) , 2014 Rev. Math. Phys. 26 1450004 ) for finding critical points of the linear entropy for an L -qubit system. The new approach is based on the correspondence between the momentum maps for abelian and non-abelian groups, as described in Kirwan (1984 Cohomology of Quotients in Symplectic and Algebraic Geometry ( Mathematical Notes vol 31) (Princeton: Princeton Univ. Press)). The proposed method can be implemented numerically and is much easier than the previous method.