Gálvez-Viruet, Juan JoséLlanes Estrada, Felipe José2025-07-162025-07-162024-12-19Gálvez-Viruet, Juan José, y Felipe J. Llanes-Estrada. «Dynamical Implementation of Canonical Second Quantization on a Quantum Computer». Physical Review D, vol. 110, n.o 11, diciembre de 2024, p. 116018. DOI.org (Crossref), https://doi.org/10.1103/PhysRevD.110.116018.2470-001010.1103/physrevd.110.116018https://hdl.handle.net/20.500.14352/122591FPU21/04180. EST24/00358.We develop theoretical methods for the implementation of creation and destruction operators in separate registers of a quantum computer, allowing for a transparent and dynamical creation and destruction of particle modes in second quantization in problems with variable particle number. We establish theorems for the commutation (anticommutation) relations on a finite memory bank and provide the needed symmetrizing and antisymmetrizing operators. Finally, we provide formulas in terms of these operators for unitary evolution under conventional two- and four-body Hamiltonian terms, as well as terms varying the particle number. In this formalism, the number of qubits needed to codify n particles with N p modes each is of order O(n log2 N p ) . Such scaling is more efficient than the Jordan-Wigner transformation which requires O(Np) qubits, whenever there are a modest number of particles with a large number of states available to each (and less advantageous for a large number of particles with few states available to each).engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article2470-0029https//doi.org/10.1103/physrevd.110.116018https://journals.aps.org/prd/abstract/10.1103/PhysRevD.110.116018open access53SimulationChemistryFísica (Física)Teoría de los quanta22 Física