Reduction of unitary operators, quantum graphs and quantum channels
Metadatos
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IOPScience
Fecha
2024-12-11Referencia bibliográfica
Published version: Salcedo Moreno, Lorenzo Luis. Reduction of unitary operators, quantum graphs and quantum channels. Journal of Physics A: Mathematical and Theoretical, 58, 3, id.035202, 33 pp. 2025 DOI: 10.1088/1751-8121/ada2c8
Patrocinador
MCIN/AEI/10.13039/501100011033 PID2020-114767 GB-I00; Junta de Andalucía FQM-225; Spanish Ministerio de Ciencia, Innovacion y Universidades PID2023-147072NResumen
Given a unitary operator in a finite dimensional complex Hilbert space, its unitary reduction to a subspace
is defined. The application to quantum graphs is discussed. It is shown how the reduction allows to generate
the scattering matrices of new quantum graphs from assembling of simpler graphs. The reduction of quantum
channels is also defined. The implementation of the quantum gates corresponding to the reduced unitary operator
is investigated, although no explicit construction is presented. The situation is different for the reduction of
quantum channels for which explicit implementations are given.