2010/09/22 by Dariusz Chruściński, Dariusz Chruscinski, Andrzej Kossakowski
Computer Science · Mathematics · Physics and Astronomy · #Class (philosophy) #Commutative property #Computer science #Geometry #Group (periodic table) #Law #Mathematics #Physics #Political science #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qutrit #State (computer science) #Symmetry (geometry) #Symmetry group #Unitary state #quant-ph
paper · pdf · doi:10.1016/j.physleta.2010.11.069
published as Phys. Lett. A 375, 434 (2011) · 7 pages
arxiv created 2010/09/22 · openalex publication_date 2010/12/05 · arxiv updated 2015/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that the seminal Horodecki 2-qutrit state belongs to the class of states displaying symmetry governed by a commutative subgroup of the unitary group U(3). Taking a conjugate subgroup one obtains another classes of symmetric states and one finds equivalent representations of the Horodecki state. These results are generalized to d⊗d systems.