Quantum Computation vs. Firewalls

Almheiri, Marolf, Polchinski, and Sully (AMPS) have recently argued that unitary of black hole evaporation is inconsistent with a smooth horizon as seen by an infalling observer. In this talk I briefly review their argument and then discuss recent work with Patrick Hayden, in which we argue that due to quantum computational restrictions the type of thought experiment used by AMPS to motivate their setup cannot be done in practice.