  Direct imaging of extra-solar planets is now a reality, especially with the
deployment and commissioning of the first generation of specialized
ground-based instruments such as the Gemini Planet Imager and SPHERE. These
systems will allow detection of Jupiter-like planets $10^7$ times fainter than
their host star. Obtaining this contrast level and beyond requires the
combination of a coronagraph to suppress light coming from the host star and a
wavefront control system including a deformable mirror (DM) to remove residual
starlight (speckles) created by the imperfections of telescope. However, all
these current and future systems focus on detecting faint planets around single
host stars, while several targets or planet candidates are located around
nearby binary stars such as our neighboring star Alpha Centauri. Here, we
present a method to simultaneously correct aberrations and diffraction of light
coming from the target star as well as its companion star in order to reveal
planets orbiting the target star. This method works even if the companion star
is outside the control region of the DM (beyond its half-Nyquist frequency), by
taking advantage of aliasing effects.
