Our study investigates the presence of high-dimensional entanglement in a recent demonstration of a noise-resistant quantum key distribution (QKD) protocol. We found that the distributed entangled states can be certified to have at least three dimensions. To show this, we developed an energy-time entanglement discretization technique and an improved witness for entanglement dimensionality. Our results provide insight into the complex relationship between high-dimensional entanglement and the noise resistance of QKD protocols operating in high dimensions.
Our study investigates the presence of high-dimensional entanglement in a recent demonstration of a noise-resistant quantum key distribution (QKD) protocol presented in [Phys. Rev. X 13, 021001 (2023)]. We determined that it is possible to certify the dimensionality of the distributed entangled states to be at least three. To demonstrate this, we developed an energy-time entanglement discretization technique, as well as an improved witness for entanglement dimensionality. Our results provide insight into the complex relationship between high-dimensional entanglement and the noise resistance of QKD protocols operating in high dimensions.
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