Abstract
Bounded uncertainty relations provide the minimum value of the uncertainty assuming some additional information on the state. We derive analytically an uncertainty relation bounded by a pair of constraints, those of purity and Gaussianity. In a limiting case this uncertainty relation reproduces the purity-bounded derived by Man'ko and Dodonov and the Gaussianity-bounded one (Mandilara and Cerf 2012 Phys. Rev. A 86 030102R).
| Original language | English |
|---|---|
| Article number | 045302 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 47 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jan 31 2014 |
| Externally published | Yes |
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Keywords
- non-Gaussianity
- uncertainty relation
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modelling and Simulation
- Statistics and Probability
Cite this
Purity- and Gaussianity-bounded uncertainty relations. / Mandilara, A.; Karpov, E.; Cerf, N. J.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 4, 045302, 31.01.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Purity- and Gaussianity-bounded uncertainty relations
AU - Mandilara, A.
AU - Karpov, E.
AU - Cerf, N. J.
PY - 2014/1/31
Y1 - 2014/1/31
N2 - Bounded uncertainty relations provide the minimum value of the uncertainty assuming some additional information on the state. We derive analytically an uncertainty relation bounded by a pair of constraints, those of purity and Gaussianity. In a limiting case this uncertainty relation reproduces the purity-bounded derived by Man'ko and Dodonov and the Gaussianity-bounded one (Mandilara and Cerf 2012 Phys. Rev. A 86 030102R).
AB - Bounded uncertainty relations provide the minimum value of the uncertainty assuming some additional information on the state. We derive analytically an uncertainty relation bounded by a pair of constraints, those of purity and Gaussianity. In a limiting case this uncertainty relation reproduces the purity-bounded derived by Man'ko and Dodonov and the Gaussianity-bounded one (Mandilara and Cerf 2012 Phys. Rev. A 86 030102R).
KW - non-Gaussianity
KW - uncertainty relation
UR - http://www.scopus.com/inward/record.url?scp=84892584016&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84892584016&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/47/4/045302
DO - 10.1088/1751-8113/47/4/045302
M3 - Article
VL - 47
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 4
M1 - 045302
ER -