Journal
PHYSICS LETTERS A
Volume 377, Issue 34-36, Pages 1996-2002Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2013.06.012
Keywords
Quantum Fisher information; Symmetric logarithmic derivative; Unitary group; Fisher tensor
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Funding
- SNF [PDFMP2_137103/1]
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Within a geometrical context, we derive an explicit formula for the computation of the symmetric logarithmic derivative for arbitrarily mixed quantum systems, provided that the structure constants of the associated unitary Lie algebra are known. To give examples of this procedure, we first recover the known formulae for two-level mixed and three-level pure state systems and then apply it to the novel case of U(3), that is for arbitrarily mixed three-level systems (q-trits). Exploiting the latter result, we finally calculate an expression for the Fisher tensor for a q-trit considering also all possible degenerate subcases. (C) 2013 Elsevier B.V. All rights reserved.
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