Quantum representation of the earth based on the bloch sphere

Implementing a digital Earth requires processing an enormous amount of data. Compared with classical algorithms, quantum algorithms can take exponential or quadratic acceleration and are more suitable for processing big data. However, existing quantum models require massive resources to process data on the Earth due to their low compatibility with spheres. So, we propose a quantum representation of the Earth based on the Bloch sphere (QREB), which is tailor-made for the Earth. Based on this model, the scale transformation and specific rotation transformation only need to change one variable. And the time complexity of the quantum point of interest extraction algorithm based on this model is the square root of the classical algorithm. Moreover, in the example of extracting thin black lines on the basketball, the accuracy is improved from 50% to 87.5%. The QREB model can reduce the resources required to process spherical data and accelerate the realization of a digital Earth.