  In the Hayden-Preskill thought experiment, the Hawking radiation emitted
before a quantum state is thrown into the black hole is used along with the
radiation collected later for the purpose of decoding the quantum state. A
natural question is how the recoverability is affected if the stored early
radiation is damaged or subject to decoherence, and/or the decoding protocol is
imperfectly performed. We study the recoverability in the thought experiment in
the presence of decoherence or noise in the storage of early radiation.
