Articles with "quantum group" as a keyword



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A Novel Quantum Group Proxy Blind Signature Scheme Based on Five-Qubit Entangled State

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Published in 2019 at "International Journal of Theoretical Physics"

DOI: 10.1007/s10773-019-04093-9

Abstract: A novel quantum group proxy blind signature scheme based on five-qubit entangled state is proposed. The quantum key distribution, quantum encryption algorithm and some laws of quantum mechanics (such as quantum no-cloning theorem and Heisenberg… read more here.

Keywords: scheme; quantum group; novel quantum; signature ... See more keywords
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Quantum Bernstein’s theorem and the hyperoctahedral quantum group

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Published in 2018 at "Journal of Mathematical Physics"

DOI: 10.1063/1.5007934

Abstract: We study an extension of Bernstein's theorem to the setting of quantum groups. For a d-tuple of free, identically distributed random variables we consider a problem of preservation of freeness under the action of a… read more here.

Keywords: quantum; quantum bernstein; hyperoctahedral quantum; quantum group ... See more keywords
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New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry

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Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/aad957

Abstract: We find new families of solutions of the $D_{n+1}^{(2)}$ boundary Yang-Baxter equation. The open spin-chain transfer matrices constructed with these K-matrices have quantum group symmetry corresponding to removing one node from the $D_{n+1}^{(2)}$ Dynkin diagram,… read more here.

Keywords: matrices quantum; new matrices; quantum group; group symmetry ... See more keywords
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Ideals of the Quantum Group Algebra, Arens Regularity and Weakly Compact Multipliers

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Published in 2020 at "Canadian Mathematical Bulletin"

DOI: 10.4153/s0008439520000077

Abstract: Abstract Let $\mathbb{G}$ be a locally compact quantum group and let $I$ be a closed ideal of $L^{1}(\mathbb{G})$ with $y|_{I}\neq 0$ for some $y\in \text{sp}(L^{1}(\mathbb{G}))$. In this paper, we give a characterization for compactness of… read more here.

Keywords: quantum group; ideals quantum; group algebra; arens regularity ... See more keywords