  A binary mapping from Fock space of bosonic state to qubits is given. Based
on the binary mapping, we construte an algorithm of qubitization of bosons with
complexity O(log(N)). As an example, the algorithm of qubitization of bosons in
matrix product state to simulate real time dynamics of Yukawa coupling is
realized. The calculation error bar is estimated by random sampling method.
This proposal may be achieved in superconductivity noisy intermediate--scale
quantum computer not far future.
