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Quantum partially observable Markov decision processes

Author(s)
Barry, Jennifer; Barry, Daniel T.; Aaronson, Scott
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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Abstract
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.
Date issued
2014-09
URI
http://hdl.handle.net/1721.1/89468
Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Physical Review A
Publisher
American Physical Society
Citation
Barry, Jennifer, Daniel T. Barry, and Scott Aaronson. "Quantum partially observable Markov decision processes." Phys. Rev. A 90, 032311 (September 2014). © 2014 American Physical Society
Version: Final published version
ISSN
1050-2947
1094-1622

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