This invention discloses a
quantum computing method and
system for calculating the local
density of states (LDOS) of materials. The method includes: preparing an initial state for an auxiliary
qubit to obtain a first superposition state; generating a random state for a data
qubit to obtain a random
quantum state; evolving to obtain a
quantum entangled state one between the auxiliary
qubit and the data qubit; performing a QFT transformation on the auxiliary qubit to obtain a quantum entangled state two and measuring it; if the measurement result is a zero state, the data qubit collapses into a quasi-eigenstate; mapping the probability distribution to the material's real space lattice to obtain the local
density of states. The
system includes a spectral range acquisition module, an energy sampling module, a
quantum circuit generation module, a quantum execution module, and a
data analysis and mapping module. This invention, through the execution of a single
quantum circuit, parallelly completes the superposition and interference of all possible time evolutions, fundamentally avoiding the exponential problem in classical computing, and providing exponential acceleration potential for large-scale material-informed LDOS calculations.