A Diagrammatic Derivation of the Hermitian Adjoint
Abstract We show that the physical principle, “the adjoint associates to each state a ‘test’ for that state”, fully characterises the Hermitian adjoint for pure quantum theory, therefore providing the adjoint with operational meaning beyond its standard mathematical definition. Moreover, we demonstr...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Selby, John H. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Foundations of physics - Springer US, 1970, 47(2017), 9 vom: 15. Juni, Seite 1191-1207 |
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| Übergeordnetes Werk: |
volume:47 ; year:2017 ; number:9 ; day:15 ; month:06 ; pages:1191-1207 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10701-017-0102-7 |
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OLC2039114076 |
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Abstract We show that the physical principle, “the adjoint associates to each state a ‘test’ for that state”, fully characterises the Hermitian adjoint for pure quantum theory, therefore providing the adjoint with operational meaning beyond its standard mathematical definition. Moreover, we demonstrate that for general process theories, which all admit a diagrammatic representation, this physical principle induces a diagrammatic reflection operation. © The Author(s) 2017 |
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Abstract We show that the physical principle, “the adjoint associates to each state a ‘test’ for that state”, fully characterises the Hermitian adjoint for pure quantum theory, therefore providing the adjoint with operational meaning beyond its standard mathematical definition. Moreover, we demonstrate that for general process theories, which all admit a diagrammatic representation, this physical principle induces a diagrammatic reflection operation. © The Author(s) 2017 |
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Abstract We show that the physical principle, “the adjoint associates to each state a ‘test’ for that state”, fully characterises the Hermitian adjoint for pure quantum theory, therefore providing the adjoint with operational meaning beyond its standard mathematical definition. Moreover, we demonstrate that for general process theories, which all admit a diagrammatic representation, this physical principle induces a diagrammatic reflection operation. © The Author(s) 2017 |
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