  The identification of electronic entanglement in solids remains elusive so
far, which is owed to the difficulty of implementing spinor-selective beam
splitters with tunable polarization direction. Here, we propose to overcome
this obstacle by producing and detecting a particular type of entanglement
encoded in the Nambu spinor or electron-hole components of quasiparticles
excited in quantum Hall edge states. Due to the opposite charge of electrons
and holes, the detection of the Nambu spinor translates into a charge-current
measurement, which eliminates the need for beam splitters and assures a high
detection rate. Conveniently, the spinor correlation function at fixed
effective polarizations derives from a single current-noise measurement, with
the polarization directions of the detector easily adjusted by coupling the
edge states to a voltage gate and a superconductor, both having been realized
in experiments. We show that the violation of Bell inequality occurs in a large
parameter region. Our work opens a new route for probing quasiparticle
entanglement in solid-state physics exempt from traditional beam splitters.
