Unifying methods for optimal control in non-Markovian quantum systems via process tensors

Autor: Ortega-Taberner, Carlos, O'Neill, Eoin, Butler, Eoin, Fux, Gerald E., Eastham, P. R.
Rok vydání: 2024
Předmět:
Zdroj: J. Chem. Phys. 161, 124119 (2024)
Druh dokumentu: Working Paper
DOI: 10.1063/5.0226031
Popis: The large dimensionality of environments is the limiting factor in applying optimal control to open quantum systems beyond Markovian approximations. Multiple methods exist to simulate non-Markovian open systems which effectively reduce the environment to a number of active degrees of freedom. Here we show that several of these methods can be expressed in terms of a process tensor in the form of a matrix-product-operator, which serves as a unifying framework to show how they can be used in optimal control, and to compare their performance. The matrix-product-operator form provides a general scheme for computing gradients using back propagation, and allows the efficiency of the different methods to be compared via the bond dimensions of their respective process tensors.
Comment: 14 pages, 9 figures
Databáze: arXiv