dorsal/arxiv
View SchemaQuantum state transformations and the Schubert calculus
| Authors | Sumit Daftuar, Patrick Hayden |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410052 |
| URL | https://arxiv.org/abs/quant-ph/0410052 |
| DOI | 10.1016/j.aop.2004.09.012 |
| Journal | Ann. Phys. 315, pp. 80-122, 2005. |
Abstract
Recent 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.
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"abstract": "Recent developments in mathematics have provided powerful tools for comparing\nthe eigenvalues of matrices related to each other via a moment map. In this\npaper we survey some of the more concrete aspects of the approach with a\nparticular focus on applications to quantum information theory. After\ndiscussing the connection between Horn\u0027s Problem and Nielsen\u0027s Theorem, we move\non to characterizing the eigenvalues of the partial trace of a matrix.",
"arxiv_id": "quant-ph/0410052",
"authors": [
"Sumit Daftuar",
"Patrick Hayden"
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"doi": "10.1016/j.aop.2004.09.012",
"journal_ref": "Ann. Phys. 315, pp. 80-122, 2005.",
"title": "Quantum state transformations and the Schubert calculus",
"url": "https://arxiv.org/abs/quant-ph/0410052"
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