A Complete Set of Invariants for LU-Equivalence of Density Operators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Turner, J., Morton, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148619
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Complete Set of Invariants for LU-Equivalence of Density Operators / J. Turner, J. Morton // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 52 назв. — англ.

We show that two density operators of mixed quantum states are in the same local unitary orbit if and only if they agree on polynomial invariants in a certain Noetherian ring for which degree bounds are known in the literature. This implicitly gives a finite complete set of invariants for local unit...