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Author  |
Nzongani, U.; Eon, N.; Marquez-Martin, I.; Perez, A.; Di Molfetta, G.; Arrighi, P. |
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Title |
Dirac quantum walk on tetrahedra |
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Journal Article |
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Year |
2024 |
Publication |
Physical Review A |
Abbreviated Journal |
Phys. Rev. A |
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Volume |
110 |
Issue |
4 |
Pages |
042418 - 15pp |
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Abstract |
Discrete-time quantum walks (QWs) are transportation models of single quantum particles over a lattice. Their evolution is driven through causal and local unitary operators. QWs are a powerful tool for quantum simulation of fundamental physics, as some of them have a continuum limit converging to well-known physics partial differential equations, such as the Dirac or the Schr & ouml;dinger equation. In this paper, we show how to recover the Dirac equation in (3 + 1) dimensions with a QW evolving in a tetrahedral space. This paves the way to simulate the Dirac equation on a curved space-time. This also suggests an ordered scheme for propagating matter over a spin network, of interest in loop quantum gravity, where matter propagation has remained an open problem. |
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Address |
[Nzongani, Ugo] Inst Polytech Paris, Unite Math Appl, ENSTA Paris, F-91120 Palaiseau, France, Email: ugo.nzongani@lis-lab.fr; |
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Publisher |
Amer Physical Soc |
Place of Publication |
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Language |
English |
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Original Title |
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Series Volume |
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Edition |
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ISSN |
2469-9926 |
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Notes |
WOS:001340814000005 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
6311 |
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