Details
| Original language | English |
|---|---|
| Article number | 052425 |
| Journal | Physical Review A |
| Volume | 107 |
| Issue number | 5 |
| Publication status | Published - 31 May 2023 |
Abstract
The effect of quantum steering arises from the judicious combination of an entangled state with a set of incompatible measurements. Recently, it was shown that this form of quantum correlations can be quantified in terms of a dimension, leading to the notion of genuine high-dimensional steering. While this naturally connects to the dimensionality of entanglement (Schmidt number), we show that this effect also directly connects to a notion of dimension for measurement incompatibility. More generally, we present a general connection between the concepts of steering and measurement incompatibility, when quantified in terms of dimension. From this connection, we propose an alternative twist on the problem of simulating quantum correlations. Specifically, we show how the correlations of certain high-dimensional entangled states can be exactly recovered using only shared randomness and lower-dimensional entanglement. Finally, we derive criteria for testing the dimension of measurement incompatibility and discuss the extension of these ideas to quantum channels.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 107, No. 5, 052425, 31.05.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Equivalence between simulability of high-dimensional measurements and high-dimensional steering
AU - Jones, Benjamin D.M.
AU - Uola, Roope
AU - Cope, Thomas
AU - Ioannou, Marie
AU - Designolle, Sébastien
AU - Sekatski, Pavel
AU - Brunner, Nicolas
N1 - Funding Information: We acknowledge financial support from the Swiss National Science Foundation (Projects No. 192244, Ambizione No. PZ00P2-202179, and NCCR SwissMAP). B.D.M.J. acknowledges support from UK EPSRC (EP/SO23607/1). T.C. would like to acknowledge the funding Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC-2123 QuantumFrontiers Grant No. 390837967, as well as the support of the Quantum Valley Lower Saxony and the DFG through SFB Grant No. 1227 (DQ-mat).
PY - 2023/5/31
Y1 - 2023/5/31
N2 - The effect of quantum steering arises from the judicious combination of an entangled state with a set of incompatible measurements. Recently, it was shown that this form of quantum correlations can be quantified in terms of a dimension, leading to the notion of genuine high-dimensional steering. While this naturally connects to the dimensionality of entanglement (Schmidt number), we show that this effect also directly connects to a notion of dimension for measurement incompatibility. More generally, we present a general connection between the concepts of steering and measurement incompatibility, when quantified in terms of dimension. From this connection, we propose an alternative twist on the problem of simulating quantum correlations. Specifically, we show how the correlations of certain high-dimensional entangled states can be exactly recovered using only shared randomness and lower-dimensional entanglement. Finally, we derive criteria for testing the dimension of measurement incompatibility and discuss the extension of these ideas to quantum channels.
AB - The effect of quantum steering arises from the judicious combination of an entangled state with a set of incompatible measurements. Recently, it was shown that this form of quantum correlations can be quantified in terms of a dimension, leading to the notion of genuine high-dimensional steering. While this naturally connects to the dimensionality of entanglement (Schmidt number), we show that this effect also directly connects to a notion of dimension for measurement incompatibility. More generally, we present a general connection between the concepts of steering and measurement incompatibility, when quantified in terms of dimension. From this connection, we propose an alternative twist on the problem of simulating quantum correlations. Specifically, we show how the correlations of certain high-dimensional entangled states can be exactly recovered using only shared randomness and lower-dimensional entanglement. Finally, we derive criteria for testing the dimension of measurement incompatibility and discuss the extension of these ideas to quantum channels.
UR - http://www.scopus.com/inward/record.url?scp=85161107999&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2207.04080
DO - 10.48550/arXiv.2207.04080
M3 - Article
AN - SCOPUS:85161107999
VL - 107
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 052425
ER -