Robust genuine high-dimensional steering with many measurements
- URL: http://arxiv.org/abs/2110.14435v2
- Date: Fri, 18 Mar 2022 09:49:35 GMT
- Title: Robust genuine high-dimensional steering with many measurements
- Authors: S\'ebastien Designolle
- Abstract summary: Quantum systems of high dimensions feature interesting properties when it comes to observing entanglement or other forms of correlations.
Their improved resistance to noise is favourable for experiments in quantum communication or quantum cryptography.
The concept of genuine high-dimensional steering has been recently introduced and experimentally demonstrated.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum systems of high dimensions are attracting a lot of attention because
they feature interesting properties when it comes to observing entanglement or
other forms of correlations. In particular, their improved resistance to noise
is favourable for experiments in quantum communication or quantum cryptography.
However, witnessing this high-dimensional nature remains challenging,
especially when the assumptions on the parties involved are weak, typically
when one of them is considered as a black box. In this context, the concept of
genuine high-dimensional steering has been recently introduced and
experimentally demonstrated [Phys. Rev. Lett. 126, 200404 (2021)]; it allows
for a one-sided device-independent certification of the dimension of a
bipartite shared state by only using two measurements. Here I overcome this
limitation by developing, for more than two measurements, universal bounds on
the incompatibility robustness, turned into meaningful dimension certificates.
Interestingly, even though the resulting bounds are quite loose, they still
often offer an increased resistance to noise and could then be advantageously
employed in experiments.
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