dorsal/arxiv
View SchemaQuantum mechanical description of measurement and the basic properties of state transformation
| Authors | Iman Marvian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507230 |
| URL | https://arxiv.org/abs/quant-ph/0507230 |
Abstract
In this paper, without any priori assumption about the post-measurement state of system, we will examine how this state is restricted by assuming each of these following assumptions. First, by using this reasonable assumption that two successive measurements should be describable as one measurement. Second, by assuming the impossibility of faster than light signaling, "No-signaling condition". However, only by using these assumptions it is not possible to obtain the usual projection postulate. Instead, by means of a simple lemma, we will show that the density operator of system after a measurement is a linear function of the density operator determined by the usual post-measurement postulate. Furthermore we will show this linear function has a Kraus representation. Finally, we will discuss about the physical meaning of this consequence.
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"abstract": "In this paper, without any priori assumption about the post-measurement state\nof system, we will examine how this state is restricted by assuming each of\nthese following assumptions. First, by using this reasonable assumption that\ntwo successive measurements should be describable as one measurement. Second,\nby assuming the impossibility of faster than light signaling, \"No-signaling\ncondition\". However, only by using these assumptions it is not possible to\nobtain the usual projection postulate. Instead, by means of a simple lemma, we\nwill show that the density operator of system after a measurement is a linear\nfunction of the density operator determined by the usual post-measurement\npostulate. Furthermore we will show this linear function has a Kraus\nrepresentation. Finally, we will discuss about the physical meaning of this\nconsequence.",
"arxiv_id": "quant-ph/0507230",
"authors": [
"Iman Marvian"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanical description of measurement and the basic properties of state transformation",
"url": "https://arxiv.org/abs/quant-ph/0507230"
},
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