Approximately Clean Quantum Probability Measures
| Autor: | Farenick, Douglas, Floricel, Remus, Plosker, Sarah |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Journal of Mathematical Physics 54, 052201 (2013) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/1.4803682 |
| Popis: | A quantum probability measure--or quantum measurement--is said to be clean if it cannot be irreversibly connected to any other quantum probability measure via a quantum channel. The notion of a clean quantum measure was introduced by Buscemi et al (2005) for finite-dimensional Hilbert space, and was studied subsequently by Kahn (2007) and Pellonp\"a\"a (2011). The present paper provides new descriptions of clean quantum probability measures in the case of finite-dimensional Hilbert space. For Hilbert spaces of infinite dimension, we introduce the notion of `approximately clean quantum probability measures' and characterise this property for measures whose range determines a finite-dimensional operator system. Comment: 14 pages; fixed/added some details not found in published version |
| Databáze: | arXiv |
| Externí odkaz: |
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