RT Journal Article
T1 Dynamical implementation of canonical second quantization on a quantum computer
A1 Gálvez-Viruet, Juan José
A1 Llanes Estrada, Felipe José
AB 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).
PB American Physical Society
SN 2470-0010
YR 2024
FD 2024-12-19
LK https://hdl.handle.net/20.500.14352/122591
UL https://hdl.handle.net/20.500.14352/122591
LA eng
NO Gálvez-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.
NO FPU21/04180.EST24/00358.
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
DS Docta Complutense
RD 18 jul 2025