Constructing the SU(2) × U(1) Orbit Space for Qutrit Mixed States

Verfasser / Beitragende:
[V. Gerdt, A. Khvedelidze, Y. Palii]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/6(2015-09-01), 878-889
Format:
Artikel (online)
ID: 605525900
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024 7 0 |a 10.1007/s10958-015-2535-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2535-x 
245 0 0 |a Constructing the SU(2) × U(1) Orbit Space for Qutrit Mixed States  |h [Elektronische Daten]  |c [V. Gerdt, A. Khvedelidze, Y. Palii] 
520 3 |a The orbit space of the group G := SU(2) × U(1) ⊂ U(3) acting adjointly on the state space of a three-level quantum system is discussed. The semialgebraic structure of is determined within the Procesi-Schwarz method. Using an integrity basis for the ring of G-invariant polynomials , the set of constraints on the Casimir invariants of the group U(3) coming from the positivity requirement Grad(z) ≥ 0 for the Procesi-Schwarz gradient matrix is analyzed in detail. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Gerdt  |D V.  |u Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna International University for Nature, Society, and Man, Dubna, Russia  |4 aut 
700 1 |a Khvedelidze  |D A.  |u Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia  |4 aut 
700 1 |a Palii  |D Y.  |u Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 878-889  |x 1072-3374  |q 209:6<878  |1 2015  |2 209  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Gerdt  |D V.  |u Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna International University for Nature, Society, and Man, Dubna, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Khvedelidze  |D A.  |u Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Palii  |D Y.  |u Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 878-889  |x 1072-3374  |q 209:6<878  |1 2015  |2 209  |o 10958