Details
| Original language | English |
|---|---|
| Article number | 042220 |
| Journal | Physical Review A |
| Volume | 104 |
| Issue number | 4 |
| Publication status | Published - 25 Oct 2021 |
Abstract
In this paper we answer the question of how one can quantify the amount of entanglement necessary to create a given steering assemblage when the original state and measurements are unknown. To do this, we extend the concepts of entanglement cost and entanglement of formation to steering assemblages and provide easy-to-calculate upper and lower bounds. We prove that the entanglement of formation for assemblages is not generally continuous and not a flat roof extension (in contrast with the state-based quantity), and we use numerical analysis to illustrate these properties. Finally, we discuss the consequences of these results for assemblage-to-assemblage conversion and suggest potential applications.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 104, No. 4, 042220, 25.10.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Entanglement cost for steering assemblages
AU - Cope, Thomas
N1 - Funding Information: This work was supported, in part, by the DFG through SFB 1227 (DQ-mat), the RTG 1991, and funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC-2123 Quantum Frontiers - 390837967. The author would like to thank Tobias Osborne, Reinhard Werner, and Ramona Wolf for useful discussions.
PY - 2021/10/25
Y1 - 2021/10/25
N2 - In this paper we answer the question of how one can quantify the amount of entanglement necessary to create a given steering assemblage when the original state and measurements are unknown. To do this, we extend the concepts of entanglement cost and entanglement of formation to steering assemblages and provide easy-to-calculate upper and lower bounds. We prove that the entanglement of formation for assemblages is not generally continuous and not a flat roof extension (in contrast with the state-based quantity), and we use numerical analysis to illustrate these properties. Finally, we discuss the consequences of these results for assemblage-to-assemblage conversion and suggest potential applications.
AB - In this paper we answer the question of how one can quantify the amount of entanglement necessary to create a given steering assemblage when the original state and measurements are unknown. To do this, we extend the concepts of entanglement cost and entanglement of formation to steering assemblages and provide easy-to-calculate upper and lower bounds. We prove that the entanglement of formation for assemblages is not generally continuous and not a flat roof extension (in contrast with the state-based quantity), and we use numerical analysis to illustrate these properties. Finally, we discuss the consequences of these results for assemblage-to-assemblage conversion and suggest potential applications.
UR - http://www.scopus.com/inward/record.url?scp=85118381549&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2102.02333
DO - 10.48550/arXiv.2102.02333
M3 - Article
AN - SCOPUS:85118381549
VL - 104
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 4
M1 - 042220
ER -