dorsal/arxiv
View SchemaEntropic uncertainty relations for incomplete sets of mutually unbiased observables
| Authors | Adam Azarchs |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412083 |
| URL | https://arxiv.org/abs/quant-ph/0412083 |
Abstract
Entropic uncertainty relations, based on sums of entropies of probability distributions arising from different measurements on a given pure state, can be seen as a generalization of the Heisenberg uncertainty relation that is in many cases a more useful way to quantify incompatibility between observables. Of particular interest are relationships between `mutually unbiased' observables, which are maximally incompatible. Lower bounds on the sum of entropies for sets of two such observables, and for complete sets of observables within a space of given dimension, have been found. This paper explores relations in the intermediate regime of large, but far from complete, sets of unbiased observables.
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"abstract": "Entropic uncertainty relations, based on sums of entropies of probability\ndistributions arising from different measurements on a given pure state, can be\nseen as a generalization of the Heisenberg uncertainty relation that is in many\ncases a more useful way to quantify incompatibility between observables. Of\nparticular interest are relationships between `mutually unbiased\u0027 observables,\nwhich are maximally incompatible. Lower bounds on the sum of entropies for sets\nof two such observables, and for complete sets of observables within a space of\ngiven dimension, have been found. This paper explores relations in the\nintermediate regime of large, but far from complete, sets of unbiased\nobservables.",
"arxiv_id": "quant-ph/0412083",
"authors": [
"Adam Azarchs"
],
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"quant-ph"
],
"title": "Entropic uncertainty relations for incomplete sets of mutually unbiased observables",
"url": "https://arxiv.org/abs/quant-ph/0412083"
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