Please use this identifier to cite or link to this item:
|Maximally entangled two-qutrit quantum information states and De Gua’s theorem for tetrahedron
|De Gua’s theorem
Generalized Pythagoras theorem
De gua’s theorem
Generalized pythagora theorem
|Geometric relations between separable and entangled two-qubit and two-qutrit quantum information states are studied. For two qubit states a relation between reduced density matrix and the concurrence allows us to characterize entanglement by double area of a parallelogram, expressed by determinant of the complex Hermitian inner product metric. We find similar relation in the case of generic two-qutrit state, where the concurrence is expressed by sum of all 2 × 2 minors of 3 × 3 complex matrix. We show that for maximally entangled two-retrit state this relation is just De Gua’s theorem or a three-dimensional analog of the Pythagorean theorem for triorthogonal tetrahedron areas. Generalizations of our results for arbitrary two-qudit states are discussed © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
|3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022 -- 4 July 2022 through 7 July 2022 -- 291239
|Appears in Collections:
|Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
Show full item record
checked on Feb 16, 2024
checked on Feb 19, 2024
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.