%0 Journal Article
%T Quantum POMDPs
%A Jennifer Barry
%A Daniel T. Barry
%A Scott Aaronson
%J Computer Science
%D 2014
%I arXiv
%R 10.1103/PhysRevA.90.032311
%X We present quantum observable Markov decision processes (QOMDPs), the quantum analogues of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent's state is represented as a quantum state and the agent can choose a superoperator to apply. This is similar to the POMDP belief state, which is a probability distribution over world states and evolves via a stochastic matrix. We show that the existence of a policy of at least a certain value has the same complexity for QOMDPs and POMDPs in the polynomial and infinite horizon cases. However, we also prove that the existence of a policy that can reach a goal state is decidable for goal POMDPs and undecidable for goal QOMDPs.
%U http://arxiv.org/abs/1406.2858v2