  We propose a simple idea for realizing a quantum gate with two identical
fermions in a double well trap via external optical pulses without addressing
the atoms individually. The key components of the scheme are Feshbach resonance
and Pauli blocking, which decouple unwanted states from the dynamics. As a
physical example we study atoms in the presence of a magnetic Feshbach
resonance in a nanoplasmonic trap and discuss the constraints on the operation
times for realistic parameters, reaching a fidelity above $99.9\%$ within
$42\mu$s.
