dorsal/arxiv
View SchemaQuantum Averages of Weak Values
| Authors | Yakir Aharonov, Alonso Botero |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503225 |
| URL | https://arxiv.org/abs/quant-ph/0503225 |
| DOI | 10.1103/PhysRevA.72.052111 |
| Journal | Phys. Rev. A 72, 052111 (2005) |
Abstract
We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a \emph{definite} mechanical effect on a measuring probe specifically designed to minimize the back-reaction on the measured system. We then present a new framework for general measurement conditions (where the back-reaction on the system may not be negligible) in which the measurement outcomes can still be interpreted as \emph{quantum averages of weak values}. We show that in the classical limit, there is a direct correspondence between quantum averages of weak values and posterior expectation values of classical dynamical properties according to the classical inference framework.
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"abstract": "We re-examine the status of the weak value of a quantum mechanical observable\nas an objective physical concept, addressing its physical interpretation and\ngeneral domain of applicability. We show that the weak value can be regarded as\na \\emph{definite} mechanical effect on a measuring probe specifically designed\nto minimize the back-reaction on the measured system. We then present a new\nframework for general measurement conditions (where the back-reaction on the\nsystem may not be negligible) in which the measurement outcomes can still be\ninterpreted as \\emph{quantum averages of weak values}. We show that in the\nclassical limit, there is a direct correspondence between quantum averages of\nweak values and posterior expectation values of classical dynamical properties\naccording to the classical inference framework.",
"arxiv_id": "quant-ph/0503225",
"authors": [
"Yakir Aharonov",
"Alonso Botero"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.72.052111",
"journal_ref": "Phys. Rev. A 72, 052111 (2005)",
"title": "Quantum Averages of Weak Values",
"url": "https://arxiv.org/abs/quant-ph/0503225"
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