Note on Schmidt Decomposition in Infinite Dimensional Hilbert Spaces
Su Hu, and Zongwen Yu
TL;DR
This paper discusses the Schmidt decomposition in infinite-dimensional Hilbert spaces, aiming to clarify its properties and potential applications in quantum mechanics.
Contribution
It provides new insights into the mathematical structure of Schmidt decomposition in infinite-dimensional settings.
Findings
Clarifies conditions for Schmidt decomposition existence
Explores implications for quantum state analysis
Suggests potential applications in quantum information theory
Abstract
This paper has been withdrawn by the author.
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Taxonomy
TopicsMatrix Theory and Algorithms · Electromagnetic Scattering and Analysis · Mathematics and Applications