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Document type:
Masterarbeit
Author(s):
Cristian Emiliano Godínez Ramírez
Title:
A Riemannian Approach to the Lindbladian Dynamics of a Locally Purified Tensor Network
Abstract:
Tensor networks offer a valuable framework for implementing Lindbladian dynamics in many-body open quantum systems with nearest-neighbor couplings. In particular, a tensor network ansatz known as the Locally Purified Density Operator employs the local purification of the density matrix to guarantee the positivity of the state at all times. Within this framework, the dissipative evolution utilizes the Trotter-Suzuki splitting, yielding a second-order approximation error. However, due to the Lindb...     »
Supervisor:
Christian B. Mendl
Advisor:
Richard M. Milbradt
Year:
2024
Quarter:
2. Quartal
Year / month:
2024-04
Month:
Apr
Language:
en
University:
Technical University of Munich
Faculty:
TUM School of Computation, Information and Technology
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