dorsal/arxiv
View SchemaThe no-signaling condition and quantum dynamics
| Authors | Christoph Simon, Vladimir Buzek, Nicolas Gisin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102125 |
| URL | https://arxiv.org/abs/quant-ph/0102125 |
| DOI | 10.1103/PhysRevLett.87.170405 |
| Journal | Phys. Rev. Lett. 87, 170405 (2001) |
Abstract
We show that the basic dynamical rules of quantum physics can be derived from its static properties and the condition that superluminal communication is forbidden. More precisely, the fact that the dynamics has to be described by linear completely positive maps on density matrices is derived from the following assumptions: (1) physical states are described by rays in a Hilbert space, (2) probabilities for measurement outcomes at any given time are calculated according to the usual trace rule, (3) superluminal communication is excluded. This result also constrains possible non-linear modifications of quantum physics.
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"abstract": "We show that the basic dynamical rules of quantum physics can be derived from\nits static properties and the condition that superluminal communication is\nforbidden. More precisely, the fact that the dynamics has to be described by\nlinear completely positive maps on density matrices is derived from the\nfollowing assumptions: (1) physical states are described by rays in a Hilbert\nspace, (2) probabilities for measurement outcomes at any given time are\ncalculated according to the usual trace rule, (3) superluminal communication is\nexcluded. This result also constrains possible non-linear modifications of\nquantum physics.",
"arxiv_id": "quant-ph/0102125",
"authors": [
"Christoph Simon",
"Vladimir Buzek",
"Nicolas Gisin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.87.170405",
"journal_ref": "Phys. Rev. Lett. 87, 170405 (2001)",
"title": "The no-signaling condition and quantum dynamics",
"url": "https://arxiv.org/abs/quant-ph/0102125"
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