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  • Letter

Optimizing quantum transport via the quantum Doob transform

Dolores Esteve1,*, Carlos Pérez-Espigares2,3,†, Ricardo Gutiérrez4,‡, and Daniel Manzano1,3,§

  • 1Quantum Thermodynamics and Computation Group, Departamento de Electromagnetismo y Física de la Materia, Universidad de Granada, 18071 Granada, Spain
  • 2Departamento de Electromagnetismo y Física de la Materia, Universidad de Granada, 18071 Granada, Spain
  • 3Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, 18071 Granada, Spain
  • 4Universidad Carlos III de Madrid, Departamento de Matemáticas, Grupo Interdisciplinar de Sistemas Complejos (GISC), Avenida de la Universidad, 30 (edificio Sabatini), 28911 Leganés, Madrid, Spain

  • *Contact author: desteve@onsager.ugr.es
  • †Contact author: carlosperez@ugr.es
  • ‡Contact author: rigutier@math.uc3m.es
  • §Contact author: manzano@onsager.ugr.es

Phys. Rev. E 114, L032104 – Published 24 September, 2026

DOI: https://doi.org/10.1103/bgx2-wmpr

Abstract

Quantum transport plays a central role in both fundamental physics and the development of quantum technologies. While significant progress has been made in understanding transport phenomena in quantum systems, methods for optimizing transport properties remain limited, particularly in complex quantum networks. Building on recent advances in classical network optimization via the generalized Doob transform, we introduce a method that extends this approach to quantum networks. Our framework leverages a single diagonalization of the system generator to efficiently tailor both the Hamiltonian and dissipative contributions, optimizing transport observables such as currents and activities. We demonstrate the method's effectiveness through extensive numerical explorations, showing that optimal performance arises from nontrivial modifications to both coherent and incoherent dynamics. We also assess the robustness of the optimization under constraints that preserve specific physical features, such as fixed dissipative structures and input-output interactions. Finally, we discuss the connection between optimized transport and centrosymmetry, highlighting the relevance of this property for enhanced transport efficiency in quantum systems.

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