  The black hole information paradox has been hotly debated for the last few
decades, without full resolution. This makes it desirable to find analogs of
this paradox in simple and experimentally accessible systems, whose resolutions
may shed light on this long-standing and fundamental problem. Here we identify
and resolve an apparent "information paradox" in a quantum Hall interface
between the Halperin-331 and Pfaffian states. Information carried by the
pseudospin degree of freedom of the Abelian 331 quasiparticles gets scrambled
when they cross the interface to enter non-Abelian Pfaffian state, and becomes
inaccessible to local measurements; in this sense the Pfaffian region is an
analog of black hole interior while the interface plays a role similar to its
horizon. We demonstrate that the "lost" information gets recovered once the
"black hole" evaporates and the quasiparticles return to the 331 region, albeit
in a highly entangled form. Such recovery is quantified by the Page curve of
the entropy carried by these quasiparticles, which are analogs of Hawking
radiation.
