On the symplectic reduced space of three-qubit pure states
Given a specific spectra of single-particle reduced density matrices of three qubits, the singular symplectic reduction method is applied to the projective Hilbert space of tripartite pure states, under the local unitary group action. The symplectic structure on the principal stratum of the symplect...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2014
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/39045/ http://psasir.upm.edu.my/id/eprint/39045/1/39045.pdf |
| _version_ | 1848849038523236352 |
|---|---|
| author | Molladavoudi, Saeid |
| author_facet | Molladavoudi, Saeid |
| author_sort | Molladavoudi, Saeid |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Given a specific spectra of single-particle reduced density matrices of three qubits, the singular symplectic reduction method is applied to the projective Hilbert space of tripartite pure states, under the local unitary group action. The symplectic structure on the principal stratum of the symplectic quotient is obtained. A criterion from which the elements of the local normal model of the principal stratum can be constructed up to an equivalence relation and also the components of the reduced Hamiltonian dynamics on it are investigated. It is discussed that other lower dimensional strata are isolated points and so they are the fixed points of every reduced Hamiltonian flow on the original manifold. |
| first_indexed | 2025-11-15T09:44:02Z |
| format | Article |
| id | upm-39045 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:44:02Z |
| publishDate | 2014 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-390452015-09-01T11:26:01Z http://psasir.upm.edu.my/id/eprint/39045/ On the symplectic reduced space of three-qubit pure states Molladavoudi, Saeid Given a specific spectra of single-particle reduced density matrices of three qubits, the singular symplectic reduction method is applied to the projective Hilbert space of tripartite pure states, under the local unitary group action. The symplectic structure on the principal stratum of the symplectic quotient is obtained. A criterion from which the elements of the local normal model of the principal stratum can be constructed up to an equivalence relation and also the components of the reduced Hamiltonian dynamics on it are investigated. It is discussed that other lower dimensional strata are isolated points and so they are the fixed points of every reduced Hamiltonian flow on the original manifold. Institute for Mathematical Research, Universiti Putra Malaysia 2014-06 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39045/1/39045.pdf Molladavoudi, Saeid (2014) On the symplectic reduced space of three-qubit pure states. Malaysian Journal of Mathematical Sciences, 8 (S). pp. 47-62. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol8s/4.%20saeid%20molladavoudi.pdf |
| spellingShingle | Molladavoudi, Saeid On the symplectic reduced space of three-qubit pure states |
| title | On the symplectic reduced space of three-qubit pure states |
| title_full | On the symplectic reduced space of three-qubit pure states |
| title_fullStr | On the symplectic reduced space of three-qubit pure states |
| title_full_unstemmed | On the symplectic reduced space of three-qubit pure states |
| title_short | On the symplectic reduced space of three-qubit pure states |
| title_sort | on the symplectic reduced space of three-qubit pure states |
| url | http://psasir.upm.edu.my/id/eprint/39045/ http://psasir.upm.edu.my/id/eprint/39045/ http://psasir.upm.edu.my/id/eprint/39045/1/39045.pdf |