We study a generic model of quantum computer, composed of many qubits coupl
ed by short-range inter action. Above a critical interqubit coupling streng
th, quantum chaos sets in, leading to quantum ergodicity of the computer ei
genstates. In this regime the noninteracting qubit structure disappears, th
e eigenstates become complex, and the operability of the computer is destro
yed. Despite the fact that the spacing between multiqubit states drops expo
nentially with the number of qubits n, we show that the quantum chaos borde
r decreases only linearly with n. This opens a broad parameter region where
the efficient operation of a quantum computer remains possible.