Quantum learning of classical stochastic processes: The completely positive realization problem-Reference-Cited by-同舟云学术

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Quantum learning of classical stochastic processes: The completely positive realization problem

Published:2016-01 Issue:1 Volume:57 Page:015219
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Monràs Alex¹²,Winter Andreas¹²³^ORCID

Affiliation:

1. Física Teòrica: Informació i Fenòmens Quàntics, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain

2. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543

3. ICREA—Institució Catalana de Recerca i Estudis Avançats, Pg. Lluis Companys, 23, 08010 Barcelona, Spain

Funder

National Research Foundation and Ministry of Education (Singapore)

Spanish MINECO

European Commission (EC)

European Research Council (ERC)

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.4936935

Reference38 articles.

1. Noncommutative Markov chains associated to a pressigned evolution: An application to the quantum theory of measurement

2. Control of open quantum systems: case study of the central spin model

3. The Realization Problem for Hidden Markov Models

4. A Tutorial on the Positive Realization Problem

5. Nonlocal correlations as an information-theoretic resource

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1. Quantum Theory in Finite Dimension Cannot Explain Every General Process with Finite Memory;Communications in Mathematical Physics;2024-02

2. Learning Circular Hidden Quantum Markov Models: A Tensor Network Approach;IEEE Transactions on Quantum Engineering;2023

3. Quantum causal unravelling;npj Quantum Information;2022-06-21

4. Memory compression and thermal efficiency of quantum implementations of nondeterministic hidden Markov models;Physical Review A;2021-05-28

5. Extreme Dimensionality Reduction with Quantum Modeling;Physical Review Letters;2020-12-22

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