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Quantum 2.0 Conference and Exhibition

Noise-Robust and Loss-Tolerant Quantum Steering with Qudits

Vatshal Srivastav, Natalia Herrera Valencia, Will McCutcheon, Saroch Leedumrongwatthanakun, Sébastien Designolle, Roope Uola, Nicolas Brunner, Mehul Malik

Published Jan 1, 2022• 0 citations
Publisher

Abstract

We introduce a noise-robust and loss-tolerant test of quantum steering designed for single-detector measurements that harnesses the advantages of high-dimensional entanglement. We experimentally demonstrate detection-loophole-free quantum steering under extreme conditions of loss and noise.
DOI
10.1364/quantum.2022.qtu3b.4

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High-dimensional quantum steering can be seen as a test for the dimensionality of entanglement, where the devices at one side are not characterized. As such, it is an important component in quantum informational protocols that make use of high-dimensional entanglement. Although it has been recently observed experimentally, the phenomenon of high-dimensional steering is lacking a general certification procedure. We provide necessary and sufficient conditions to certify the entanglement dimension in a steering scenario. These conditions are stated in terms of a hierarchy of semidefinite programs, which can also be used to quantify the phenomenon using the steering dimension robustness. To demonstrate the practical viability of our method, we characterize the dimensionality of entanglement in steering scenarios prepared with maximally entangled states measured in mutually unbiased bases. Our methods give significantly stronger bounds on the noise robustness necessary to experimentally certify high-dimensional entanglement.