dorsal/arxiv
View SchemaA quantum measure of coherence and incompatibility
| Authors | Fedor Herbut |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503077 |
| URL | https://arxiv.org/abs/quant-ph/0503077 |
| DOI | 10.1088/0305-4470/38/13/010 |
| Journal | Journal of Physics A: Mathematical and General 38, 2959 (2005) |
Abstract
The well-known two-slit interference is understood as a special relation between observable (localization at the slits) and state (being on both slits). Relation between an observable and a quantum state is investigated in the general case. It is assumed that the amount of ceherence equals that of incompatibility between observable and state. On ground of this, an argument is peresented that leads to a natural quantum measure of coherence, called "coherence or incompatibility information". Its properties are studied in detail making use of 'the mixing property of relative entropy' derived in this article. A precise relation between the measure of coherence of an observable and that of its coarsening is obtained and discussed from the intutitive point of view. Convexity of the measure is proved, and thus the fact that it is an information entity is established. A few more detailed properties of coherence information are derived with a view to investigate final-state entanglement in general repeatable measurement, and, more importantly, general bipartite entanglement in follow ups of this study.
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"abstract": "The well-known two-slit interference is understood as a special relation\nbetween observable (localization at the slits) and state (being on both slits).\nRelation between an observable and a quantum state is investigated in the\ngeneral case. It is assumed that the amount of ceherence equals that of\nincompatibility between observable and state. On ground of this, an argument is\nperesented that leads to a natural quantum measure of coherence, called\n\"coherence or incompatibility information\". Its properties are studied in\ndetail making use of \u0027the mixing property of relative entropy\u0027 derived in this\narticle. A precise relation between the measure of coherence of an observable\nand that of its coarsening is obtained and discussed from the intutitive point\nof view. Convexity of the measure is proved, and thus the fact that it is an\ninformation entity is established. A few more detailed properties of coherence\ninformation are derived with a view to investigate final-state entanglement in\ngeneral repeatable measurement, and, more importantly, general bipartite\nentanglement in follow ups of this study.",
"arxiv_id": "quant-ph/0503077",
"authors": [
"Fedor Herbut"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/13/010",
"journal_ref": "Journal of Physics A: Mathematical and General 38, 2959 (2005)",
"title": "A quantum measure of coherence and incompatibility",
"url": "https://arxiv.org/abs/quant-ph/0503077"
},
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