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Genuine high-dimensional quantum steering

Srivastav, Vatshal
Valencia, Natalia Herrera
McCutcheon, Will
Malik, Mehul
Published in Physical review letters. 2021, vol. 126, no. 200404
Abstract High-dimensional quantum entanglement can give rise to stronger forms of nonlocal correlations compared to qubit systems, offering significant advantages for quantum information processing. Certifying these stronger correlations, however, remains an important challenge, in particular in an experimental setting. Here we theoretically formalise and experimentally demonstrate a notion of genuine high-dimensional quantum steering. We show that high-dimensional entanglement, as quantified by the Schmidt number, can lead to a stronger form of steering, provably impossible to obtain via entanglement in lower dimensions. Exploiting the connection between steering and incompatibility of quantum measurements, we derive simple two-setting steering inequalities, the violation of which guarantees the presence of genuine high-dimensional steering, and hence certifies a lower bound on the Schmidt number in a one-sided device-independent setting. We report the experimental violation of these inequalities using macro-pixel photon-pair entanglement certifying genuine high-dimensional steering. In particular, using an entangled state in dimension $d=31$, our data certifies a minimum Schmidt number of $n=15$.
arXiv: 2007.02718
Note 9 pages, 1 table, 5 figures
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Article (Accepted version) (1 MB) - public document Free access
Research group Groupe Brunner
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DESIGNOLLE, Sébastien Karl Gérard et al. Genuine high-dimensional quantum steering. In: Physical Review Letters, 2021, vol. 126, n° 200404. doi: 10.1103/PhysRevLett.126.200404 https://archive-ouverte.unige.ch/unige:154979

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Deposited on : 2021-09-27

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