Construction of General Unitary Transformation for Conditional Quantum Dynamics and Realization of Quantum Controlled Gates

摘要

By factorizing a general one-bit transformation matrix for one-bit gates in quantum computer,a general unitary transformation is constructed,which can serve as(controlled)^(m) gate for the conditional quantum dynamics.When the quantized single-mode electromagnetic field containing n or no photons acts as the controlled bit,the quantum controlled-NOT gates and square root of the controlled-NOT gates in cavity-quantum electrodynamics are realized.