Details
| Original language | English |
|---|---|
| Article number | 170404 |
| Number of pages | 1 |
| Journal | Phys. Rev. Lett. |
| Volume | 119 |
| Issue number | 17 |
| Publication status | Published - 27 Oct 2017 |
Abstract
Quantifying quantum mechanical uncertainty is vital for the increasing number of experiments that reach the uncertainty limited regime. We present a method for computing tight variance uncertainty relations, i.e., the optimal state-independent lower bound for the sum of the variances for any set of two or more measurements. The bounds come with a guaranteed error estimate, so results of preassigned accuracy can be obtained straightforwardly. Our method also works for postive-operator-valued measurements. Therefore, it can be used for detecting entanglement in noisy environments, even in cases where conventional spin squeezing criteria fail because of detector noise.
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In: Phys. Rev. Lett., Vol. 119, No. 17, 170404, 27.10.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - State-independent Uncertainty Relations and Entanglement Detection in Noisy Systems
AU - Schwonnek, René
AU - Dammeier, Lars
AU - Werner, Reinhard F.
N1 - Funding information: We gratefully acknowledge inspiring conversations and email exchange with Marcus Cramer, Otfried Gühne, Géza Tóth, Kais Abdelkhalek, David Reeb and Terry Farrelly. We also acknowledge financial support from the RTG 1991 and CRC 1227 DQ-mat funded by the DFG and the collaborative research project Q.com-Q funded by the BMBF.
PY - 2017/10/27
Y1 - 2017/10/27
N2 - Quantifying quantum mechanical uncertainty is vital for the increasing number of experiments that reach the uncertainty limited regime. We present a method for computing tight variance uncertainty relations, i.e., the optimal state-independent lower bound for the sum of the variances for any set of two or more measurements. The bounds come with a guaranteed error estimate, so results of preassigned accuracy can be obtained straightforwardly. Our method also works for postive-operator-valued measurements. Therefore, it can be used for detecting entanglement in noisy environments, even in cases where conventional spin squeezing criteria fail because of detector noise.
AB - Quantifying quantum mechanical uncertainty is vital for the increasing number of experiments that reach the uncertainty limited regime. We present a method for computing tight variance uncertainty relations, i.e., the optimal state-independent lower bound for the sum of the variances for any set of two or more measurements. The bounds come with a guaranteed error estimate, so results of preassigned accuracy can be obtained straightforwardly. Our method also works for postive-operator-valued measurements. Therefore, it can be used for detecting entanglement in noisy environments, even in cases where conventional spin squeezing criteria fail because of detector noise.
UR - http://www.scopus.com/inward/record.url?scp=85032461927&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.119.170404
DO - 10.1103/PhysRevLett.119.170404
M3 - Article
VL - 119
JO - Phys. Rev. Lett.
JF - Phys. Rev. Lett.
IS - 17
M1 - 170404
ER -