20.500.12556/RUL-165072 Harmonic flow-field representations of quantum bits and gates We describe a general procedure for mapping arbitrary n-qubit states to two-dimensional (2D) vector fields. The mappings use complex rational function representations of individual qubits, producing classical vector f ield configurations that can be interpreted in terms of 2D inviscid fluid flows or electric fields. Elementary qubits are identified with localized defects in 2D harmonic vector fields, and multiqubit states find natural f ield representations via complex superpositions of vector field products. In particular, separable states appear as highly symmetric flow configurations, making them both dynamically and visually distinct from entangled states. The resulting real-space representations of entangled qubit states enable an intuitive visualization of their transformations under quantum logic operations. We demonstrate this for the quantum Fourier transform and the period finding process underlying Shor’s algorithm, along with other quantum algorithms. Due to its generic construction, the mapping procedure suggests the possibility of extending concepts such as entanglement or entanglement entropy to classical continuum systems, and thus may help guide new experimental approaches to information storage and nonstandard computation. hydrodynamics vector fields qubits hidrodinamika vektorska polja kubiti true false true Angleški jezik Slovenski jezik Članek v reviji 2024-11-22 10:55:50 2024-11-22 10:55:51 2024-11-23 04:05:25 0000-00-00 00:00:00 2024 0 0 Str. 043039-1-043039-16 iss. 4 Vol. 6 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 53 2643-1564 10.1103/PhysRevResearch.6.043039 216088067 PhysRevResearch.6.043039.pdf PhysRevResearch.6.043039.pdf 1 7A967DF3868AB15829BA1894B617FF93 1a4b3b36d7f1540e7475cd60f5866feffbaaa3b175fe20ef1dc717c5b72b473d af19f0f1-a8b7-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=196022 https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.043039 0 bb18894b-a8b7-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=196023 Fakulteta za matematiko in fiziko 0 0 0