Direct High-Dimensional Quantum Communication with Tunable Bases via Sequential Non-Demolition Measurements

A theoretical framework utilizing sequential non-demolition measurements to extract information from high-dimensional quantum systems is proposed. In our scheme, an unsuccessful measurement does not cause collapse of the system state but allows it to revert to its pre-measurement state for subsequent measurements. Compared with conventional schemes, our approach enables flexible switching of the bases used for encoding and transmitting signals, making it particularly suitable for high-dimensional quantum-secure communication protocols based on mutually unbiased bases (MUBs). Moreover, our scheme does not strictly require orthogonality of the signal states, which relaxes the precision requirements for the information encoding processes while supporting more flexible signal state selection strategies. Our work opens a new pathway for the practical design of high-dimensional quantum communication systems.