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

• URL: http://arxiv.org/abs/2406.17719v1
• Date: Tue, 25 Jun 2024 17:09:41 GMT
• Title: Unifying methods for optimal control in non-Markovian quantum systems via process tensors
• Authors: Carlos Ortega-Taberner, Eoin O'Neill, Eoin Butler, Gerald E. Fux, P. R. Eastham,
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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