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This invention addresses a key challenge in quantum communication networks by developing a controlled-NOT (CNOT) gate that operates between two degrees of freedom (DoFs) within a single photon: polarization and frequency.

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Sugars (glucose and xylose) can be converted into dioxolanes which phase separate from water. These dioxolanes can be heterolytically cleaved which acts as a controlled dehydration reaction which results in ring closing of the subsequent structure to furans such as 5-hydr