  The paper is devoted to a new idea of simulation of accounting by quantum
computing. We expose the actual accounting principles in a pure mathematics
language. After that we simulated the accounting principles on quantum
computers. We show that all arbitrary accounting actions are exhausted by the
described basic actions. The main problem of accounting are reduced to some
system of linear equations in the economic model of Leontief. In this
simulation we use our constructed quantum Gau\ss-Jordan Elimination to solve
the problem and the time of quantum computing is some square root order faster
than the time in classical computing.
