# Grassmann representation in qubit informatics and superlogic. (arXiv:1802.01392v1 [quant-ph])

The Grassmann representation for the system of qubits, is considered. The

treatment is based on natural description of the qubits system as fermions and

uses coherent states of fermions. The quantum logic gates are represented in

two forms - by symbols of operations and by partial differential operators on

the symbols of the states. The considered representation of quantum logic is

called as superlogic. The examples are given for classical logic operations of

negation, conjunction, disjunction and for reversible three-bit Toffoli gate

and its quantum generalization - three-qbit Deutsch gate. The representation

for composite gates is also considered. Path integral represenatation in

Grassmann algebra for quantum automaton with qubits memory is described. In

particular for the autonomous automaton corresponding to the special case of

general dynamic system this description differ from path integral

representation in commutative memory phase space by the specific nonliner term

in superaction.