Positive operator-valued measures and densely-defined operator-valued frames
| Autor: | Robinson, Benjamin, Moran, Bill, Cochran, Doug |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the signal-processing literature, a frame is a mechanism for performing analysis and reconstruction in a Hilbert space. By contrast, in quantum theory, a positive operator-valued measure (POVM) decomposes a Hilbert-space vector for the purpose of computing measurement probabilities. Frames and their most common generalizations can be seen to give rise to POVMs, but does every reasonable POVM arise from a type of frame? In this paper we answer this question using a Radon-Nikodym-type result. Comment: 9 pages, submitted to the Rocky Mountain Math Journal |
| Databáze: | arXiv |
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