dorsal/arxiv
View SchemaWhere the mathematical structure of Quantum Mechanics coms from
| Authors | Giacomo Mauro D'Ariano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612162 |
| URL | https://arxiv.org/abs/quant-ph/0612162 |
Abstract
The mathematical formulation of Quantum Mechanics is derived from purely operational axioms based on a general definition of "experiment" as a set of transformations. The main ingredient of the mathematical construction is the postulated existence of "faithful states" that allows one to calibrate the experimental apparatus. Such notion is at the basis of the operational definitions of the scalar product and of the "adjoint" of a transformation.
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"abstract": "The mathematical formulation of Quantum Mechanics is derived from purely\noperational axioms based on a general definition of \"experiment\" as a set of\ntransformations. The main ingredient of the mathematical construction is the\npostulated existence of \"faithful states\" that allows one to calibrate the\nexperimental apparatus. Such notion is at the basis of the operational\ndefinitions of the scalar product and of the \"adjoint\" of a transformation.",
"arxiv_id": "quant-ph/0612162",
"authors": [
"Giacomo Mauro D\u0027Ariano"
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"title": "Where the mathematical structure of Quantum Mechanics coms from",
"url": "https://arxiv.org/abs/quant-ph/0612162"
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