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Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.70177
Abstract: This paper develops a comprehensive framework for one‐dimensional quantum Markov fields (QMFs) based on a family of commutative Hamiltonians. We present a detailed construction of a class of QMFs, initiated from a family of commuting…
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Keywords:
dimensional quantum;
commuting hamiltonians;
quantum markov;
one dimensional ... See more keywords
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Published in 2019 at "Quantum Information Processing"
DOI: 10.1007/s11128-019-2294-6
Abstract: Open quantum random walks in Attal et al. (Phys Lett A 376:1545–1548, 2012) are quantum generalizations of classical Markov chains. In this paper, we firstly consider a problem to construct a quantum Markov semigroup (QMS)…
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Keywords:
quantum random;
open quantum;
quantum;
quantum markov ... See more keywords
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Published in 2019 at "Reviews in Mathematical Physics"
DOI: 10.1142/s0129055x1950020x
Abstract: In the present paper, we construct QMCs (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the restriction of QMC to the…
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Keywords:
quantum markov;
random walks;
open quantum;
markov chains ... See more keywords
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Published in 2025 at "Mathematics"
DOI: 10.3390/math13152505
Abstract: Quantum finance, as a key application scenario of quantum computing, showcases multiple significant advantages of quantum machine learning over traditional machine learning methods. This paper first aims to overcome the limitations of the hidden quantum…
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Keywords:
market;
quantum markov;
model;
hidden quantum ... See more keywords