Quantum state transformations and the Schubert calculus

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dc.creatorDaftuar, Sumit
dc.creatorHayden, Patrick
dc.date2004-10-07
dc.date.accessioned2026-07-07T06:11:03Z
dc.date.available2026-07-07T06:11:03Z
dc.descriptionRecent developments in mathematics have provided powerful tools for comparing the eigenvalues of matrices related to each other via a moment map. In this paper we survey some of the more concrete aspects of the approach with a particular focus on applications to quantum information theory. After discussing the connection between Horn's Problem and Nielsen's Theorem, we move on to characterizing the eigenvalues of the partial trace of a matrix.
dc.description40 pages. Accepted for publication in Annals of Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/0410052
dc.identifierhttp://arxiv.org/abs/quant-ph/0410052
dc.identifierAnn. Phys. 315, pp. 80-122, 2005.
dc.identifierdoi:10.1016/j.aop.2004.09.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92423
dc.subjectQuantum Physics
dc.titleQuantum state transformations and the Schubert calculus
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