Quantum partially observable Markov decision processes
We present quantum observable Markov decision processes (QOMDPs), the quantum analogs of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent is acting in a world where the state is represented as a quantum state and the agent can choose a superoperator to apply. This is sim...
Main Authors: | , , |
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Other Authors: | , |
Format: | Article |
Language: | English |
Published: |
American Physical Society,
2014-09-12T17:39:21Z.
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Subjects: | |
Online Access: | Get fulltext |
Summary: | We present quantum observable Markov decision processes (QOMDPs), the quantum analogs of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent is acting in a world where the 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. National Science Foundation (U.S.) (Grant 0844626) National Science Foundation (U.S.) (Grant 1122374) National Science Foundation (U.S.) (Waterman Award) |
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