20.500.12556/RUL-145387 Nematic bits and universal logic gates Liquid crystals (LCs) can host robust topological defect structures that essentially determine their optical and elastic properties. Although recent experimental progress enables precise control over nematic LC defects, their practical potential for information storage and processing has yet to be explored. Here, we introduce the concept of nematic bits (nbits) by exploiting a quaternionic mapping from LC defects to the Poincaré-Bloch sphere. Through theory and simulations, we demonstrate how single-nbit operations can be implemented using electric fields, to construct LC analogs of Pauli, Hadamard, and other elementary logic gates. Using nematoelastic interactions, we show how four-nbit configurations can realize universal classical NOR and NAND gates. Last, we demonstrate the implementation of generalized logical functions that take values on the Poincaré-Bloch sphere. These results open a route toward the implementation of classical digital and nonclassical continuous computation strategies in topological soft matter systems. liquid crystals nematic bits logic gates tekoči kristali nematski biti logična vrata true false true Angleški jezik Slovenski jezik Članek v reviji 2023-04-20 10:10:47 2023-04-20 10:10:47 2023-06-07 10:57:06 0000-00-00 00:00:00 2022 0 0 10 str. art. eabp8371 Vol. 8, no. 33 Aug. 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 538.9 2375-2548 10.1126/sciadv.abp8371 119595779 sciadv.abp8371_(1).pdf sciadv.abp8371_(1).pdf 1 7631839FA6FB7899CBDF1D0932D919C7 29b58d4aff3bdbf2dcdab12eecc4fec4c99e77b6cf78808444b9137f40f6647e ab05a65f-df64-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=168287 https://www.science.org/doi/10.1126/sciadv.abp8371 0 dbdc4b29-df52-11ed-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=168279 Fakulteta za matematiko in fiziko 0 0 0