Details
| Original language | English |
|---|---|
| Article number | 062339 |
| Journal | Physical Review A |
| Volume | 99 |
| Issue number | 6 |
| Publication status | Published - 27 Jun 2019 |
Abstract
In the usual entanglement detection scenario the possible measurements and the corresponding data are assumed to be fully characterized. We consider the situation where the measurements are known, but the data is scrambled, meaning the assignment of the probabilities to the measurement outcomes is unknown. We investigate in detail the two-qubit scenario with local measurements in two mutually unbiased bases. First, we discuss the use of entropies to detect entanglement from scrambled data, showing that Tsallis and Rényi entropies can detect entanglement in our scenario, while the Shannon entropy cannot. Then, we introduce and discuss scrambling-invariant families of entanglement witnesses. Finally, we show that the set of nondetectable states in our scenario is nonconvex and therefore in general hard to characterize.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 99, No. 6, 062339, 27.06.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Entanglement detection with scrambled data
AU - Simnacher, Timo
AU - Wyderka, Nikolai
AU - Schwonnek, René
AU - Gühne, Otfried
N1 - Funding Information: We thank Xiao-Dong Yu, Ana Cristina Sprotte Costa, and Roope Uola for fruitful discussions. This work was supported by the DFG, the ERC (Consolidator Grant No. 683107/TempoQ), the Asian Office of Aerospace (R&D Grant No. FA2386-18-1-4033), and the House of Young Talents Siegen.
PY - 2019/6/27
Y1 - 2019/6/27
N2 - In the usual entanglement detection scenario the possible measurements and the corresponding data are assumed to be fully characterized. We consider the situation where the measurements are known, but the data is scrambled, meaning the assignment of the probabilities to the measurement outcomes is unknown. We investigate in detail the two-qubit scenario with local measurements in two mutually unbiased bases. First, we discuss the use of entropies to detect entanglement from scrambled data, showing that Tsallis and Rényi entropies can detect entanglement in our scenario, while the Shannon entropy cannot. Then, we introduce and discuss scrambling-invariant families of entanglement witnesses. Finally, we show that the set of nondetectable states in our scenario is nonconvex and therefore in general hard to characterize.
AB - In the usual entanglement detection scenario the possible measurements and the corresponding data are assumed to be fully characterized. We consider the situation where the measurements are known, but the data is scrambled, meaning the assignment of the probabilities to the measurement outcomes is unknown. We investigate in detail the two-qubit scenario with local measurements in two mutually unbiased bases. First, we discuss the use of entropies to detect entanglement from scrambled data, showing that Tsallis and Rényi entropies can detect entanglement in our scenario, while the Shannon entropy cannot. Then, we introduce and discuss scrambling-invariant families of entanglement witnesses. Finally, we show that the set of nondetectable states in our scenario is nonconvex and therefore in general hard to characterize.
UR - http://www.scopus.com/inward/record.url?scp=85068256192&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1901.07946
DO - 10.48550/arXiv.1901.07946
M3 - Article
AN - SCOPUS:85068256192
VL - 99
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 6
M1 - 062339
ER -