  Advances of high intensity lasers have opened up the field of strong field
physics and led to a broad range of technological applications. Recent x ray
laser sources and optics development makes it possible to obtain extremely high
intensity and brightness at x ray wavelengths. In this paper, we present a
system design that implements chirped pulse amplification for hard x ray free
electron lasers. Numerical modeling with realistic experimental parameters show
that near-transform-limit single-femtosecond hard x ray laser pulses with peak
power exceeding 1 TW and brightness exceeding
$4\times10^{35}~$s$^{-1}$mm$^{-2}$mrad$^{-2}$0.1\%bandwdith$^{-1}$ can be
consistently generated. Realization of such beam qualities is essential for
establishing systematic and quantitative understanding of strong field x-ray
physics and nonlinear x ray optics phenomena.
