Qubitization of Bosons

A binary mapping from Fock space of bosonic state to qubits is given.Based on the binary mapping, an algorithm of qubitization of bosons with complexity O(log(N)) is described by recurrence relation.As an proposal, the algorithm of qubitization of bosons to simulate real time dynamics of Yukawa coupling is realized which might be achieved in superconductivity noisy intermediate-scale quantum computer at not far future.